The table below shows the total cost (TC) and marginal cost (MC) for Choco Lovers, a monopolistic firm producing different quantities
of chocolate gift boxes. Fill in the blanks in the table.
Answers
Answer:
Spreadsheet values
B3 = $15 (shown)C4 = $420 (shown)D6 = $272.5E4 = $6F2 = $16F6 = $5Other values
profit maximizing Q: 35profit maximizing P: $13maximum profit: $227.5Step-by-step explanation:
Labeling the columns of the spreadsheet A--F, and the rows 1--7, we want to find the values as follows.
a) The relationship between quantity, price, and revenue is ...
total revenue = quantity × price
price = (total revenue)/quantity
Then ...
B3 = 375/25 = 15 (as shown)C4 = 30×14 = 420 (as shown)__
b) The relationship between total cost and marginal cost is ...
mc2 = (tc2 -tc1)/(q2 -q1)
tc2 = (mc2)(q2 -q1) +tc1
Then ...
D6 = 9(40 -35) +227.5 = 272.5E4 = (192.5 -162.5)/(30 -25) = 6__
c) Marginal revenue is figured the same way as marginal cost.
mr2 = (r2 -r1)/(q2 -q1)
Then ...
F2 = (320 -0)/(20 -0) = 16F6 = (480 -455)/(40 -35) = 5__
d) The quantity maximizing profit will be the quantity such that marginal revenue is equal to marginal cost. That is, marginal profit is zero. That quantity is 35, where both marginal cost and marginal revenue are 7.
__
e) The price at a quantity of 35 is 13. This value is read from the given table.
__
f) The maximum profit is the difference between revenue and cost at the profit-maximizing quantity:
maximum profit = 455 -227.5 = 227.5
The question refers to Total Cost (TC) and Marginal Cost (MC) in economics; where TC is the sum of all production costs and MC is the cost of producing one more unit of a good. To fill the table, calculate the difference in total cost for each increase in produced units, as this difference reflects the MC.
Explanation:The question is referring to the concepts of Total Cost (TC) and Marginal Cost (MC) in economics. Total Cost is the complete expenditure made by a firm in the production process, including both fixed and variable costs. Marginal Cost, on the other hand, is the cost of producing one additional unit of a good. In the case of the Choco Lovers firm, it represents the cost of producing an extra box of chocolates.
To fill in the blanks in the table, the differences in total cost for each increase in the quantity of chocolate gift boxes produced should be calculated. This is because the MC at each level of output is the addition to total cost when one more box is produced. So, if total cost rises by $5 when output increases from 10 to 11 boxes, the MC of the 11th box is $5.
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Related Questions
ILL GIVE YOU BRAINLIEST!! Pat needs 19 balloons for a water balloon fight. About how many ounces of water will he need if each balloon holds 2 ounces of water?A. 40 ounces B. 19 ounces C. 30 ounces D.50 ounces E. 20 ounces
Answers
Answer:
A
Step-by-step explanation:
If each balloon holds 2 oz of water, you can multiply 19 by 2 to find out how many ounces you'll need. 19*2 is equal to 38, but rounding up is 40.
The total amount of water needed by Pat for the balloon fight is 40 ounces.
The correct option is (A).
What is Arithmetic?The mathematical branch known as arithmetic deals with the study and application of numbers and their relationships.
As per the given data:
The number of balloons needed for a fight is equal to 19.
The amount of water each water balloon holds is also given.
We have to find out the total amount of water needed by Pat for the balloon fight.
The amount of water each water balloon holds = 2 ounces
Total amount of water needed by Pat for the balloon fight:
= number of balloons needed for a fight × amount of water each water balloon holds
= 19 × 2
= 38 ounces (after rounding off to the tenths place, it's equal to 40)
= 40 ounces
Hence, the total amount of water needed by Pat for the balloon fight is 40 ounces.
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The unit of measure of the of the conversion factor should be the unit of
measure which you want to convert.
Answers
The correct use of conversion factors will result in the cancellation of the unwanted units and retention of the desired unit.
Conversion factors are essential in unit conversions, allowing us to switch from one unit of measurement to another within the same system, such as U.S. customary units or the SI unit system. To use conversion factors effectively, one must ensure that the unit of measure they wish to convert from or to is correctly positioned in the conversion factor equation. For instance, when converting meters to centimeters, a factor of 1 cm/10-2 m or 100 cm/1 m is used because 'centi' means 10-2 in the SI unit system.
It is important to keep track of units being canceled during the conversion. If you have units in the numerator and denominator that are the same, they will cancel out, leaving only the desired unit. In the process of conversion, if the unit you want to convert is in the denominator of the original quantity, the conversion factor should have that unit in the numerator.
Choosing the right conversion factor and accurately performing the calculations are crucial. A proper conversion factor will cancel out unwanted units. Using an incorrect conversion factor without an opposing unit to cancel out will leave an unwanted unit in your answer, indicating an error in the process.
Dimensional analysis, which often involves conversion factors, simplifies the process of converting units and ensures that measurements within calculations are consistent. This technique is fundamental for scientific calculations and everyday applications, such as determining the appropriate unit to measure large volumes or distances.
1/2(b+14)=b+14/2. What is the solution to this
Answers
Explanation:
Factor out the 1/2 of 1/2(b+14)
.5b+7
Divide 14 by 2
.5b+7=b+7
Subtract either one of the 7’s
.5b = b
That is not a true statement, therefore it is no solution
The equation 1/2(b + 14) = b + 14/2 simplifies to 14 = 14, suggesting that any value for b is a solution, and the equation is an identity.
The given equation is 1/2(b + 14) = b + 14/2. To solve for the variable b, we can perform algebraic operations. First, we recognize that the equation on the left side is already simplified, but we need to clarify whether the denominator 2 applies to the whole right-hand side or just to the 14 in the equation b + 14/2. Assuming it applies only to the 14, we can multiply both sides of the equation by 2 to eliminate the denominators:
1/2(b + 14) * 2 = (b + 14/2) * 2b + 14 = 2b + 14After simplifying, we see that b on both sides cancels out, leaving us with an equality 14 = 14, which is always true. This means that the equation has infinitely many solutions, since any value of b will satisfy the equation. If the denominator 2 applied to the entire right-hand side (b + 14), then the equation is already balanced as written, again indicating that any value of b would be a solution.
This balance shows that the original equation represents an identity rather than a conditional equation with a specific solution.
Solve for x in the following:
X^2 + 10x + 29=0
Answers
Answer:
x= [tex]-5+2i, -5-2i[/tex] aka No Real Solution
Which figure has a greater volume and by how much?
The volume of figure 1 is 45 centimeters cubed greater than the volume of figure 2.
The volume of figure 2 is 45 centimeters cubed greater than the volume of figure 1.
The volume of figure 1 is 120 centimeters cubed greater than the volume of figure 2.
The volume of figure 2 is 120 centimeters cubed greater than the volume of figure 1.
Answers
Answer:
A) The volume of figure 1 is 45 cm³ greater than the volume of figure 2
Step-by-step explanation:
Let's start by calculating the volumes of both figures
Figure 1
Rectangular prism
V = Bh
V = (15*6)(5)
V = (90)(5)
V = 450 cm³
Triangular prism
V = Bh
V = 1/2(3*15)(6)
V = 1/2(45)(6)
V = 1/2(270)
V = 135 cm³
Add them together, you get 585 cm³
Figure 2
Rectangular prism
V = Bh
V = (6*15)(5)
V = (90)(5)
V = 450 cm³
Rectangular pyramid
V = 1/3 Bh
V = 1/3 (15*6)(3)
V = 1/3 (90)(3)
V = 1/3 (270)
V = 90 cm³
Add them together, you get 540 cm³
Subtract 540 from 585 and get 45
Answer:
A) The volume of figure 1 is 45 cm³ greater than the volume of figure 2
Step-by-step explanation:
This is the kinetic energy of a 14 kg object travelling at 10 m/s.
Answers
Answer:
700 joules
Step-by-step explanation:
Basically,
The KE formula is this KE=1/2mv^2
So we substitute the mass for m and the meters per second for v (velocity)
[tex]\frac{1}{2} (14)(10^2)[/tex]
Use PEMDAS, one half times 14 is 7
10 squared is 100,
100*7 = 700
Thanks me later :)
If f(x)=1/9x-13, then f^-1(x)=
Answers
Answer:
f^-1(x)= 9x+117
Step-by-step explanation:
hello :
let f(x) = y so : y = 1/9 x-13
calculate : x you have : 1/9x= y+13 so : x= 9(y+13)=9y+117
If f(x)=1/9x-13, then f^-1(x)= 9x+117
does anyone know adjacent angles ? i am guessing it more than 1 by the way please help.
Answers
Answer:
∠SRP and ∠QRP
∠TUR and ∠VUR
Step-by-step explanation:
Adjacent angles are angles that share a common side and have the same vertex. Here you need to see if each pair share a side and start at the same point.
∠SRP and ∠QRP: These are adjacent because they share the same vertex and side
∠TUR and ∠VUR: These are adjacent because they share the same vertex and side
∠QRP and ∠VUW: These are not adjacent because they do not share the vertex, only share a common side
∠TUR and ∠SRU: These are not adjacent because they do not share the vertex, only share a common side
A chef at a restaurant uses 14 pounds of butter each day. About how many grams of butter does the chef use each day Start Fraction 16 ounces Over 1 pound End Fraction
and Start Fraction 28.4 grams Over 1 ounce End Fraction
Answers
Answer:
6361.6 grams
Step-by-step explanation:
A chef at a restaurant uses 14 pounds of butter each day
Given;
16 ounces per pound
And
28.4 grams per ounces
Converting 14 pounds to gram;
14 pounds × 16 ounces/pound = 224 ounces
Then;
224 ounces × 28.4 grams/ounce = 6361.6 grams
What is the area of this figure?
Answers
Answer:
1240 yd²
Step-by-step explanation:
Answer: 1440 square units
Step-by-step explanation:
40 x 36
A = L x w
A French class has a total of 26 students. The number of males is 10 more than the number of females. How many males and how many females are in the class?
Answers
Answer:
10 Male
16 Female
Step-by-step explanation:
Find the square root of -9/100
Answers
Answer:
The answer is -3/10
Step-by-step explanation:
Answer:
-0.3 or -[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
Separate the squares making it:
[tex]-\frac{\sqrt{9} }{\sqrt{100}}[/tex]
Square root them:
[tex]\frac{3}{10}[/tex]
Don't forget the negative
[tex]-\frac{3}{10}[/tex]
(I will mark brainliest for the correct answer.)
Eliza intends to buy a new vehicle. She wishes to estimate the mean fuel efficiency (in miles per gallon) of all family sized SUV's currently available on the market. Eliza selects a random sample of 15 family sized SUV's and looks up their fuel efficiency on a trusted website. The results of the random sample are shown below:
27, 28, 30, 28, 28, 31, 29, 33, 28, 28, 31, 33, 41, 41, 25
What is the mean fuel efficiency rounded to the nearest whole number?
Question 1 options:
28
29
30
31
Answers
Answer:
D. 31
Step-by-step explanation:
To find the mean of any group of numbers, you simply add up all the numbers and then divide by how many numbers there are.
Using a calculator or a pencil, add the following:
27 + 28 + 30 +28 + 28 + 31 + 29 + 33 + 28 + 28 + 31 + 33 + 41 + 41 + 25
= 461
The last step is to divide 461 by 15:
461/15 = 30.73
Round 30.73 to the nearest whole number and you get D. 31
A delivery company has 18 vehicles in its fleet. it has 8 vans and 10 trucks All 18 vehicles are on the road every working day The company is reviewing its fuel expenses and therefore gathers some information about each type of vehicle VAN=> average distance travelled per day (in km) is 198 and its average distance travelled per litre is 9 TRUCK=>average distance travelled per day (in km) is 620 and its average distance travelled per litre is 6.2 All the vehicles use the same type of fuel at £1.29 per litre Use this information to work out the bill for 1 working day. You must show all of your working
Answers
Answer:
$157.38 per day is used.
Step-by-step explanation:
Van distance 198
9km per L
198÷9=22L
Truck distance 620
6.2km per L
620÷6.2=100L
truck 100L
+van 22L
=122Lx1.29
=157.38
Daily fuel consumption is calculated for trucks and vans by dividing their respective average distances travelled per day by their averages distances travelled per litre. These amounts are multiplied by the respective numbers of each vehicle and then by the cost of fuel (£1.29 per litre) to give a total daily fuel bill of £1,517.04.
Explanation:The first step in calculating the daily bill for the delivery company is to determine how many litres of fuel both the vans and trucks consume per day. To do this, divide the average distance travelled per day by the average distance travelled per litre for each type of vehicle.
For the vans, this would be 198 / 9 = 22 litres per day. For the trucks, 620 / 6.2 = 100 litres per day.
The company has 8 vans and 10 trucks, so the total daily fuel consumption would be: (8 * 22) + (10 * 100) = 176 + 1000 = 1176 litres.
The cost of fuel is £1.29 per litre, so the daily bill would be 1176 * £1.29 = £1,517.04.
Therefore, the delivery company's total fuel bill for one working day is £1,517.04.
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A linear function has a y-intercept of 6 and a slope of . What is the equation of the line?
Answers
Answer: I need to know the number for the slope. I know the y-intercept, which is b, but I need to know m (the slope) I can give you y = mx+6.
Step-by-step explanation:
A bar graph is shown. The x-axis is labeled 1 through 9 and the y-axis is labeled 0, 5, 10, 15. Bar 1 is 2 units high, bar 2 is 4 units high, bar 3 is 6 units high, bar 4 is 8 units high, bar 5 is 10 units high, bar 6 is 8 units high, bar 7 is 6 units high, bar 8 is 4 units high, and bar 9 is 2 units high.
Which of the following statements is true about a graph that is perfectly symmetric, such as the one above?
The mean is greater than the median.
The mean is equal to the median.
The mean is less than the median.
Answers
Answer:
the mean is equal to the median
Step-by-step explanation:
From the bar graph,
The mean is equal to the median.
Option B is the correct answer.
What is a bar graph?A bar graph is a type of chart used to represent data using rectangular bars, where the length or height of each bar corresponds to the value of the data.
The bars can be arranged horizontally or vertically and are usually separated by equal spaces.
The x-axis represents the categories or groups being compared, and the y-axis represents the scale or measurement of the data being shown.
We have,
For a graph that is perfectly symmetric, the mean and median are equal.
In the given bar graph, the bars are perfectly symmetric around the middle bar, which is bar 5.
This means that the median value of the data represented by the graph is 5.
To find the mean of the data, we can add up the heights of all the bars and divide by the total number of bars:
(2 + 4 + 6 + 8 + 10 + 8 + 6 + 4 + 2) ÷ 9 = 6
So the mean value of the data is also 6.
Therefore,
The mean is equal to the median.
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you roll a fair 6-sided die . what is the probability of landing on a number that’s is NOT 5
Answers
Answer:
5/6th
Step-by-step explanation:
A rectangular prism has a volume of 1,200 cubic units. The prism has a length of 24 units and a height of 5 units. What is the width of the prism?
Answers
Answer:
10 units
Step-by-step explanation:
Divide the volume by the product of the length and height to calculate the rectangular prism's width.
1200 / 24 x 5 = 10 units
For a standard normal distribution, which of the following variables always equals 1?
Mu
Sigma
x
z
Answers
Answer:
The mean is 0 and the deviation 1. And we can express this distribution with the following notation:
[tex] Z \sim N (\mu =0,\sigma =1)[/tex]
[tex]\sigma = 1[/tex] correct the deviation for this special distributionn is always 1
Step-by-step explanation:
The normal standard distribution is an special case of the normal distribution with some parameters on specific.
The mean is 0 and the deviation 1. And we can express this distribution with the following notation:
[tex] Z \sim N (\mu =0,\sigma =1)[/tex]
And when we analyze the options we can conclude this:
[tex]\mu[/tex] this value for this distribution is always equal to 0 and not 1
[tex]\sigma = 1[/tex] correct the deviation for this special distributionn is always 1
[tex]x[/tex] this value can be any value higher or lower than 1 so then is not the correct option
[tex]z[/tex] this variable can be different from 1 so then is not the correct option
Answer:
The mean is 0 and the deviation 1. And we can express this distribution with the following notation:
correct the deviation for this special distributionn is always 1
Step-by-step explanation:
The normal standard distribution is an special case of the normal distribution with some parameters on specific.
The mean is 0 and the deviation 1. And we can express this distribution with the following notation:
And when we analyze the options we can conclude this:
this value for this distribution is always equal to 0 and not 1
correct the deviation for this special distributionn is always 1
this value can be any value higher or lower than 1 so then is not the correct option
this variable can be different from 1 so then is not the correct option
Step-by-step explanation:
Which is the angle measure represented by 7.5 rotations clockwise?
a. -2700°
c. 2700
b. -1350°
d. 1350°
Answers
Answer:
The angle measure is 2700°
Step-by-step explanation:
Close wise rotation is positive.
Note that one rotation is equivalent to a revolution.
If one rotation = 360°
7.5 rotations will measure 360° ×7.5 which is equivalent to 2700°
Which describes the money that a business makes when it sells goods or
services for more than it spent on the goods and services?
Answers
It’s Profit Just took the quiz
Five times the quotient of some number and ten
Answers
What is the volume of this square pyramid?
and can someone answer my last question
Answers
Answer:
The answer is 600
Step-by-step explanation:
V = A(h/3)
What are the solutions to x2 - 6x - 7 = 0?
Answers
Answer:
x=7 x=-1
Step-by-step explanation:
x^2 - 6x - 7 = 0
Factor
What two numbers multiply to -7 and add to -6
-7*1 =-7
-7+1 = -6
(x-7) (x+1) = 0
Using the zero product property
x-7 =0 x+1 =0
x=7 x=-1
Answer: x is -1 & 7
Step-by-step explanation:
X2-6x-7=0
Quadratic equation
Variables of -7 that will give-6 are
-7 & +1
X2-7x+x-7=0
X(x-7) +1(x-7)=0
(X+1)(x-7)=0
X+1=0
X= -1 or
X-7=0
X= 7
Therefore,
X is either -1 & 7
Q2: One end of a cable is attached to the top of a flagpole and the other end is attached 6 feet away from the base of
the pole.
If the height of the flagpole is 12 feet, find the length of the cable,
Answers
Answer:
13.4 feet
Step-by-step explanation:
a²+b²=c²
12²+6²=c²
144+36=[tex]\sqrt{180}[/tex]
=13.4
The length of the cable is 13.416 feet.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have one end of the cable is attached to the top of a flagpole.
The other end is attached 6 feet away from the base of the pole.
The flagpole height = 12 feet
As we can see in the figure it is a right angle triangle in which the:
The length of the base of the right angle triangle b = 6 feet
The length of the perpendicular l = 12 feet
From the Pythagoras theorem:
[tex]\rm Hypotenuse^2 = Base^2+Perpendicular^2[/tex]
Let's suppose the length of the cable is x feet
[tex]\rm x^2 = 6^2+12^2[/tex]
[tex]x^2 = 36+144 \Rightarrow 180[/tex]
[tex]\rm x = \sqrt{180}[/tex]
x = 13.416 feet
Thus, the length of the cable is 13.416 feet.
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Find the sum of the first 9 terms in the following geometric series.
64 + 32 + 16 + ...
Answers
Answer: 64 + 32 + 16 + 8 + 4 + 2 + 1 + .5 + .25 = 127.75
Step-by-step explanation: the sequence divides the next number by 2 ; 64/2 = 32, 32/2 = 16, etc
Answer:
127.75
Step-by-step explanation:
Race Times
29 min.
31 min.
31 min.
34 min.
35 min.
37 min.
40 min.
42 min.
45 min.
Sarabeth used a box-and-whisker plot to summarize her race times in minutes. She didn't include her latest race time of 38 minutes. How will the inclusion of this new time affect the box-and-whisker plot?
A) The range will increase.
B) The median will increase.
C) The lower quartile will increase.
D) The upper quartile will increase.
Answers
Answer:
B) The median will increase.
Step-by-step explanation:
he original median was 35 and the new median is 36. The median will increase.
Please Help me
An animal shelter randomly selects 30 dogs and finds 4 are classified as small breeds because they are under 25 pounds.
If there are 105 total dogs in the shelter, enter the number predicted to be small breeds.
Answers
Answer:
14
Step-by-step explanation:
14 out of 105= 7.5
4 out of 30= 7.5
Both numbers, 14 and 4, have the same ratio.
There are 14 small breed dogs in the shelter.
The question involves using proportional reasoning to predict the number of small breed dogs in a shelter. From the given sample of 30 dogs, 4 are classified as small breeds. To find the predicted number of small breeds in the entire shelter, we set up a proportion based on the sample proportion:
4 small dogs out of 30 total dogs (sample) = x small dogs out of 105 total dogs (shelter).
Solving for x gives us the predicted number of small breed dogs:
(4/30) * 105 = x
Calculate the value of x:
x = (4* 105) / 30
x = 420 / 30
x = 14
Therefore, based on the sample, we would predict that there are 14 small breed dogs in the shelter.
is 4/x^4+3/x^3-2/x^2-1 a polynomial
Answers
Step by step explanation:
What are the coordinates of vertex A of square ABCD?
Square A"B"C"D" is the final image after the rule
T-A-R .(X.) was applied to square ABCD.
(-1,-6)
(-1.-2
(-1,6)
(-2.1)
Answers
Answer:
(-2, 1)
Step-by-step explanation:
The coordinates of the vertex A of square ABCD is (1, 6).
What is Translation?Translation is a type of transformation of geometrical figures. After translation, the original figure is shifted from a place to another place without affecting it's size.
Given that,
A square ABCD undergoes a translation of (-4, -1) and a rotation of 90° to form the square A''B''C''D''.
Let (x, y) be the coordinates of A.
After the translation of (-4, -1), it becomes,
A'(x - 4, y - 1)
When it rotates to 90°, it becomes,
A''(-(y - 1), x - 4) = A''(1 - y, x - 4) = (-5, -3)
1 - y = -5 ⇒ y = 1 + 5 = 6
x - 4 = -3 ⇒ x = 1
Coordinates are (1, 6)
Hence the coordinates of A is (1, 6).
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The complete question is as follows :
Square A"B"C"D" is the final image after the rule T -4, -1 • R 0, 90° (x, y) was applied to square ABCD. What are the coordinates of vertex A of square ABCD?
n a coordinate plane, a square A double-prime B double-prime C double-prime D double-prime has points (negative 5, negative 3), (negative 3, negative 1), (negative 1, negative 3), (negative 3, negative 5).