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zysi [14]
3 years ago
5

A rectangular-prism-shaped toy chest is 2m by 1m by 1m. A shipping crate is packed with 18 of these toy chests. There is no extr

a space in the crate. What is the volume of the crate?
Mathematics
2 answers:
Alika [10]3 years ago
7 0
2*1*1= 2 m^3 per chest

2 m^3 per chest* 18 chests= 36 m^3 total

Final answer: 36 m^3
tatiyna3 years ago
6 0

Answer:

36 m3


Step-by-step explanation:


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See attachment for the full question
alexandr402 [8]

The inverse of the demand function is; P = 9 - 0.25Q

The profit-maximizing price and quantity are; $8.5 and 2 units.

The maximum profit is; $1

<h3>How to find the inverse of a function?</h3>

A) The demand function we are given is;

Q = 36 - 4P

Making P the subject gives the inverse demand function;

P = (36 - Q)/4

P = 9 - Q/4

P = 9 - 0.25Q

B) The profit-maximization point is the point at which MR = MC.

MR refers to the marginal revenue and MC is the marginal cost.

MC can be calculated as the first derivative of the cost function:

C(Q) = 4 + 4Q + Q²

MC = C'(Q) = 2Q + 4

Total Revenue = Price * Quantity

Total Revenue = (9 - 0.25Q) * Q

Total Revenue = 9Q - 0.25Q²

MR is gotten by differentiating Total Revenue to get;

MR = 9 - 0.5Q

Applying the condition MR = MC, we have;

9 - 0.5Q = 4 - 2Q

Solving for Q gives Q = 2

Thus, profit maximizing quantity is 2.

Thus, profit maximizing price will be;

P(2) = 9 - 0.25(2)

P(2) = $8.5

C) Formula for Maximum Profit is;

Profit = Total Revenue - Total Cost

Total Revenue = 8.5 * 2

Total revenue = $17

Total Cost is;

C(2) = 4 + 4(2) + 2²

C(2) = $16

Thus;

Maximum Profit = 17 - 16 = $1

Read more about Inverse of a function at; brainly.com/question/13948067

#SPJ1

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1 year ago
How do you graph proportionality?
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Answer:

Constant of Proportionality Equation

The constant of proportionality (k) equals the total price (y) divided by the number of cans (x). The second formula is a common alternate form of the constant of proportionality formula.

Step-by-step explanation:

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3 years ago
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Ne4ueva [31]
Slope=
\frac{y2 - y1}{x2 - x1}  =  \frac{6 - ( - 4)}{6 - 1}  =  \frac{10}{5}  = 2
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7/6 times x=140 what does x=
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Answer:

x = 120

Step-by-step explanation:

just do the reciprocal

140/ 7/6 to get 120 as x

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