The objective function in this scenario is minimizing the cost of shipping goods from the plant to the store.
What is Linear Problem?The goal of the Linear Programming Problems (LPP) is to determine the best value for a given linear function. The ideal value may be either the highest or lowest value. The specified linear function is regarded as an objective function in this situation.
The most likely goal function, if we were to create a linear programme for this situation, would be to reduce the cost of shipping from the plants to the stores. This is important since it can become an expensive bottleneck.
Despite the fact that there are three factories and three stores, the costs will not be minimized if the same amount of goods are produced in each plant and carried to a specific store. In fact, the likelihood that each facility generates a distinct volume of items further exacerbates the issue.
Finding the optimal distribution of shipping commodities from each facility to each retailer is important as a result.
Hence, the objective function is minimizing the cost of shipping goods from the plant to the store.
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The options are missing in the question, which are as follow:
a. minimizing the quantity of goods distributed across the stores
b. minimizing the cost of shipping goods from the plant to the store
c. decreasing the cost of their raw material sourcing
d. increasing the number of goods manufactured at the plant
Ken can walk
40
4040 dogs in
8
88 hours.
How many dogs can Ken walk in
12
1212 hours?
Answer:
Hey. I'm not sure if you have typos, but if you're saying ''Ken can walk 40 dogs in 8 hours, how many dogs can Ken walk in 12 hours", the answer is 60.
Step-by-step explanation:
So, we get our answer by dividing the amount of dogs Ken can walk by the amount of hours. 40/8 = 5. He walks 5 dogs an hour. Now that we know he walks 5 dogs an hour, we can multiply by 5 for each hour. 5 (Dogs/Hour) x 12 (Hours the dogs were walked) = 60, and that is our final answer.
What is slope of the line -3y=8x -5?
The slope of the line given by the equation -3y=8x-5 is -8/3. This is obtained by re-arranging the equation into slope-intercept form (y=mx+b), where 'm' is the slope.
Explanation:The equation given is -3y=8x-5. To find the slope of the line, we first need to convert this equation to the form y=mx+b, which is the slope-intercept form of a line. In this form, the coefficient 'm' represents the slope, and 'b' represents the y-intercept.
First, divide all terms by -3 to transform the equation. Doing so gives us y=-8/3x + 5/3. Thus, the slope of the line is -8/3. This means that for every increase of 1 unit on the x (horizontal) axis, y (on the vertical axis) will decrease by 8/3 units.
Different lines can have different slopes. A slope can be positive, negative, zero, or undefined. In this case, because our slope is -8/3, we have a line that slopes downwards when reading from left to right.
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There are 5 red pens, 4 black pens, and 1 blue pen in a box. What is the probability of pulling out a black pen two times in a row with replacement?
A. 8/10
B. 4/10
C. 16/100
D. 4/25
Answer:
D. 4/25
Step-by-step explanation:
To find probability, you multiply 4/10 by 4/10. You should get 16/100, which simplifies to 4/25.
A rectangle has an area of 228 ft squared and a length that measures 12 ft. Find the perimeter of the rectangle
Answer:
62 feet
Step-by-step explanation:
Hi there,
Let's start the problem by figuing out the width of the rectangle.
let w = the width of the rectangle.
The formula for the area of a rectangle is A = l*w, so let's plug in what we know.
228 = 12w
Now, let's solve for w, the width, by dividing both sides by 12
w = 19; The width is 19 feet.
Now, we have our length, 12 feet, and our width 19 feet.
So, we should now use the formula for perimiter to find the perimiter of this rectangle. The formula is P = W + W + L + L
Let's plug in the numbers
P = 12 + 12 + 19 + 19
P = 62 feet
Hope this helps! Stay safe!
- Emily
The height of a trapezoid is 8 in. And its area is 64 in2. One base of the trapezoid is 6 inches longer than the other base. What are the lengths of the bases?
Answer:
5 and 11
Step-by-step explanation:
The area of a trapezoid is
A = 1/2 (b1+b2)*h
We know the height is 8 and the area is 64.
Let one of the bases is b and the other is b+6
64 = 1/2 (b+ b+6) *8
Combine like terms
64 = 4 (2b+6)
Divide each side by 4
64/4 = 4/4 *(2b+6)
16 = 2b+6
Subtract 6 from each side
16-6 = 2b+6-6
10 =2b
Divide each side by2
10/2 =2b/2
5=b
The second base is
5+6 =11
Equivalent to -9y+2x
Answer:
(-3 x 3y) + 2x
Step-by-step explanation:
Multiply and simplify the following complex numbers: (1 + 2i) x (1 - 4i)
Answer:
9-2i
Step-by-step explanation:
(1 + 2i) * (1 - 4i)
(1*1)-(1*4i)+(2i*1)-(2i)*(4i)
(1)-(4i)+(2i)-(8i^2)
i^2 = -1
1-4i+2i+8
1-2i+8
9-2i
The multiplication and simplification of the complex numbers (1 + 2i) x (1 - 4i) results in 9 - 2i.
Explanation:To multiply and simplify the complex numbers (1 + 2i) and (1 - 4i), we must use the distributive property, just like in normal algebra. We get (1*1) + (1*-4i) + (2i*1) + (2i*-4i), which is 1 - 4i + 2i - 8i². But remember, in complex numbers, i² equals -1, so it simplifies further to 1 - 2i -8(-1), or 1 - 2i + 8, and finally, 9 - 2i which is our final, simplified result.
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what is (4x) to the 1/2 in radical form
Answer:[tex]2\sqrt{x}[/tex]
Step-by-step explanation:
4x^1/2=[tex]\sqrt[2]{4x}[/tex]=[tex]2\sqrt{x}[/tex]
Answer:
[tex]2\sqrt{x}[/tex]
Step-by-step explanation:
Fractional exponents always mean roots. The denominator indicates which root it is. Since the denominator here is 2, the root is a square, so:
[tex](4x)^{1/2}=\sqrt{4x} =2\sqrt{x}[/tex]
Thus, the answer is [tex]2\sqrt{x}[/tex].
Hope this helps!
You are building a sandbox for your little sister. You want to make sure that she has 200 cubic ft. Of space to play. Give a possible length, width, and height of the sandbox.
Answer:
10x10x2
Step-by-step explanation:
10 * 10 * 2 = 200
Find the length of the missing side. (Use the Pythagorean theorem)
Answer:
20
Step-by-step explanation:
12square + 16 square=400
Square root it = 20
Answer:
Step-by-step explanation:
a^2+b^2=c^2
144+256=?
144+256=400
the square root of 400 is 20
so the missing side is 20
51) Eloise had to solve a system of inequalities that contained an exponential growth function and a linear function with positive slope. She KNOWS that the two equations intersect at least once, and she was asked to state the interval where the linear > exponential. Which could be an answer to her system of inequalities? A) (-1, 3) B) (-1, [infinity]) C) (-[infinity], -1) D) (-[infinity], -1) ∪ (3, [infinity])
Answer:
Answer is A. (-1, 3)
Refer below.
Step-by-step explanation:
If the line and exponential function intersect only once then the line is tangent to the exponential at that point and therefore is always is below the exponential except at the point of intersection where there are equal.
I need help with #11 and #12 how do I do this?
Answer:
11. x = 6; y = 6.5
12. x = 2; y = 4
Step-by-step explanation:
In each figure, the hash marks on the lines indicate the parallel lines (marked with red arrows) are equally-spaced. That means the two expressions involving x are equal to each other, and the two expressions involving y are equal to each other.
__
11. 2x +1 = x +7
x = 6 . . . . . . . subtract (x+1) from both sides
and
3y -8 = y +5
2y = 13 . . . . add (8-y) to both sides
y = 6.5 . . . . divide by the coefficient of y
__
12. x +3 = 3/2x +2
1 = 1/2x . . . . . subtract (x+2)
2 = x . . . . . . . multiply by 2
and
2y -1 = 3y -5
4 = y . . . . . . add (5 -2y)
Answer:
11. x=6;y=6.5 12. x=2;y=4
Step-by-step explanation:
hope that helped
Which expression is NOT equivalent to −3/8·(−4+1/2)?
Drag this expression to the box.
Answer:
The answer to your question is the first option
Step-by-step explanation:
Original expression
-3/8 (-4 + 1/2)
First option -3/8 (-4) + (3/8)(1/2) This option is not equivalent because
they forgot the negative sign of the
second term.
Second option (-3/8)(-4) + (-3/8)(1/2) This option is equivalent to the
original. Distributive property
Third option (-3/2)(-3 1/2) This option is equivalent to the original
Fourth option (-3/8)(-3) + (-3/8)(-1/2) This option is equivalent to the original
Pink panda has $56.75 to spend today. she spends $13.45 on lunch, $16.32 on getting her nails done and $7.65 on cupcakes how much money does she have left
1) $56.75-$13.45=$43.3
2) $43.4-$16.32=$27.08
3) $27.08-$7.65=$19.43
Answer: she have left $19.43
If the volume of an object is 100cm3 and the density is 4g/cm3. What is the mass of the object in g?
Answer:
400g
Step-by-step explanation:
mass= density × volume
Substitute the given value of density and volume.
Mass of the object
= 4(100)
= 400g
Evaluate each expression
Answer:
a. 32
b. 27
c. 64
d. 36
e. 1/16
f. 1/9
Answer:
a.32
b.27
c.64
d.36
e.1/16
f.1/9
Step-by-step explanation:
Hope it helps.!
In a certain Algebra 2 class of 28 students, 8 of them play basketball and 14 of them play baseball. There are 12 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball
Answer:
[tex]P(B \cup b) =\frac{4}{7}[/tex]
Step-by-step explanation:
Total Number of students, the Universal Set [tex]n(\mathcal{E})[/tex]=28
Let the number of those who play basketball =B
Let the number of those who play baseball =n
Number who play neither sport, [tex]n(B\cup b)'[/tex]=12
From Set Theory,
Since we want to determine the probability that a student chosen randomly from the class plays basketball or baseball, we only simply exclude those who play neither sports.
Mathematically,From Set Theory,
[tex]\mathcal{E}=n(B \cup b)+n(B \cup b)'\\28=n(B \cup b)+12\\n(B \cup b)=28-12\\n(B \cup b)=16[/tex]
The Probability that a student chosen randomly from the class plays basketball or baseball
[tex]P(B \cup b)=\frac{n(B \cup b)}{n(\mathcal{E})}\\=\dfrac{16}{28}\\ =\dfrac{4}{7}[/tex]
Answer:
4/7
Step-by-step explanation:
4/7
Activity
Serena is hitting golf balls at the driving range. When she hit a ball viith her 9-Iron, it stopped x yards in front of the 100-yard marker. She knows
she can hit a ball twice that far if she uses her driver. Complete the steps below to see how far Serena can hit a golf ball with her driver. Write an expression in terms of x that represents the distance Serena hit the gofl using her 9 - iron.
Final answer:
To find the distance Serena can hit a golf ball with her driver, we can multiply the distance with her 9-iron by 2.
Explanation:
To find the expression that represents the distance Serena hit the golf ball with her 9-iron, we know that the ball stopped x yards in front of the 100-yard marker. So, the distance Serena hit the ball with her 9-iron is 100 - x yards. To find how far Serena can hit a golf ball with her driver, which is twice as far as her 9-iron, we can multiply the distance with her 9-iron by 2. Therefore, the expression that represents the distance Serena can hit the golf ball with her driver is 2(100 - x) yards.
Given that the measure of ∠x is 123°, and the measure of ∠y is 51°, find the measure of ∠z. °
Answer:
The measure of angle z is 59°.
Step-by-step explanation:
Final answer:
To find the measure of ∠z when ∠x = 123° and ∠y = 51°, add the angles and subtract the sum from 180°.
Explanation:
Given:
∠x = 123°
∠y = 51°
To find ∠z:
Add ∠x and ∠y: 123° + 51° = 174°
Since the sum of angles in a triangle is 180°, subtract the sum of ∠x and ∠y from 180° to find ∠z: 180° - 174° = 6°
Hence, ∠z = 6°.
Need help please don’t be fake
We see that Angle C = 99.
Then we see that Angle A + 22 + Angle C = 180
Substitute in the 99
Angle A + 22 + 99 = 180
Angle A = 59
Order these to Least to greatest -3/4, -2, -1/4, 2
-2. -3/4, -1/4, 2
-2 = -2
-3/4 = -0.75
-1/4 = -0.25
2 = 2
What does 55 represent y=55x+20
it is the slope its not that hard to figure out
Grace had 4 3/8 yards of elastic. She used 1 2/3 yards of the elastic to make bracelets for her friends. How many yards of elastic does she have now?
A. 6 1/24
B. 3 7/24
C. 2 17/24
D. 3 17/24
Answer: D. 3 17/24
Step-by-step explanation:
4 3/8 - 1 2/3
Let B1W2 denote the outcome that the first ball drawn is B1 and the second ball drawn is W2. Because the first ball is replaced before the second ball is drawn, the outcomes of the experiment are equally likely. List all 25 possible outcomes of the experiment on a sheet of paper.Consider the event that the first ball that is drawn is blue.
Answer:
[tex]\{B_1B_1, B_1B_2, B_1W_1, B_1W_2, B_1W_3, \\B_2B_1, B_2B_2, B_2W_1, B_2W_2, B_2W_3, \\[/tex]
[tex]W_1B_1,W_1B_2, W_1W_1, W_1W_2, W_1W_3, \\W_2B_1, W_2B_2, W_2W_1,W_2W_2, W_2W_3, \\W_3B_1, W_3B_2, W_3W_1, W_3W_2, W_3W_3\}[/tex]
Step-by-step explanation:
[tex]\text{If an urn contains two blue balls} (denoted \:B_1 \:and \:B_2) \text{and three white balls}[/tex],[tex](denoted \:W_1, W_2, \:and\: W_3)[/tex]
If One ball is drawn, its color is recorded, and it is replaced in the urn. Then another ball is drawn and its color is recorded.
The 25 Possible outcomes of this experiment are listed below:
[tex]\{B_1B_1, B_1B_2, B_1W_1, B_1W_2, B_1W_3, \\B_2B_1, B_2B_2, B_2W_1, B_2W_2, B_2W_3, \\[/tex]
[tex]W_1B_1,W_1B_2, W_1W_1, W_1W_2, W_1W_3, \\W_2B_1, W_2B_2, W_2W_1,W_2W_2, W_2W_3, \\W_3B_1, W_3B_2, W_3W_1, W_3W_2, W_3W_3\}[/tex]
The tree diagram of this event is also attached.
Question 1 (1 point)
Evaluate if t=-2, x=3 and z=5
4z + 3x -t
Answer:
27
Step-by-step explanation:
4(5) + 3(3) - 2
20 + 9 - 2
27
Each of forty-one pet owners was asked, "Does your pet eat more dry food or wet food?" Here are the results. Among the cat owners,6 chose "Dry food" and 8 chose "Wet food". Among the dog owners, 14 chose "Dry food" and 13 chose "Wet food".
No, pet does not eat more dry food than wet food.
Here's the detailed explanation of the table:
Dog Owners: Among the owners of dogs, 6 prefer to feed their pets wet food, while 11 prefer to feed them dry food.Cat Owners: Among the owners of cats, 12 prefer to feed their pets wet food, which is typically more common for cats due to their need for higher moisture content in their diet, and 15 prefer to feed them dry food.The numbers in the table are called "frequencies," and they show how many responses fell into each category. The table allows us to quickly see and compare the food preferences of dog and cat owners. For instance, we can observe that:
More cat owners prefer wet food for their pets compared to dog owners (12 versus 6).More dog owners prefer dry food compared to wet food (11 versus 6).Similarly, more cat owners prefer dry food compared to wet food, but the preference is less pronounced (15 versus 12).This table does not provide the total number of respondents in each category, but since we know that there are 44 pet owners in total, we could infer additional information if needed.
For example, we can calculate the total number of dog owners (6 + 11 = 17) and the total number of cat owners (12 + 15 = 27) from the table.
The completed table is given below.
The complete question is given below:
Xzavion buys 1.2 pounds of strawberries. If each pound of strawberries cost $3.70, how much will he pay for the strawberries?
Answer:
$4.44
Step-by-step explanation:
$3.70 * 1.2 = $4.44
Answer:
$4.44
Step-by-step explanation:
Lawrence father gave him 200 baseball card declines purchases 25 baseball cards to add to his collection of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection
Answer:
The inequality is [tex]25w+200> 750.[/tex]
Step-by-step explanation:
The question is incomplete so the complete question is attached below:
Now, to write an inequality that can be used to find [tex]w[/tex], the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection.
Let the number of weeks be [tex]w.[/tex]
Number of cards Lawrence purchases each week = 25.
Number of cards Lawrence's father gave him = 200.
Total number of cards Lawrence will have more than in his collection = 750.
Now, to write an inequality that can be used to get the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection:
[tex]25\times w+200>750[/tex]
[tex]25w+200> 750.[/tex]
Therefore, the inequality is [tex]25w+200> 750.[/tex]
Circle P has a circumference of approximately 75 inches.
What is the approximate length of the radius, ? Use 3.14 for
T. Round to the nearest inch.
va
12 inches
24 inches
38 inches
46 inches
Answer:
The answer to your question is 12 in
Step-by-step explanation:
Data
Circumference = 75 in
radius = ?
π = 3.14
Circumference is defined as the distance around the edge of a circle.
Formula
Circumference = 2 π radius
Solve for radius
Radius = Circumference / 2π
-Substitution
Radius = 75 / 2(3.14)
-Simplification
Radius = 75/6.28
-Result
Radius = 11.94 in ≈ 12 in
Answer:
1) 12in
Step-by-step explanation:
The circumference is 75, so to find the diameter you have to divide 75 by 3.14. You get 24 approximately. Then divide the diameter by 2, so 24/2=12.
Solve for x in the equation x^2 - 4x-9= 29
I'm guessing 4+-√42 if u can understand it's the last one....