Until recently, hamburgers at the city sports arena cost $2.50 each. The food concessionaire sold an average of 1,375 hamburgers on game night. When the price was raised to $3.00, hamburger sales dropped off to an average of 1,250 per night. The concessionaire's fixed costs were $1,133.60 per night and the variable cost was $2.60 per hamburger. Answer the following questions (A) through (F).(A) Assume that the relationship between price p and demand x is linear. Express p as a function of x and find the domain of this function. p=nothingThe domain of p isnothing.(Type a compound inequality.)(B) Find the revenue function in terms of x and state its domain. R(x)=nothingThe domain of R(x) isnothing.(Type a compound inequality.)(C) Assume that the cost function is linear. Express the cost function in terms of x. C(x)=nothing(D) Graph the cost function and the revenue function in the same coordinate system. Choose the correct graph below. Find the break-even points. The break-even points arenothing.(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)(E) Find the profit function in terms of x. P(x)=nothing(F) Evaluate the marginal profit atx=1040and interpret the results. The marginal profit atx=1040is$nothing.Interpret the marginal profit. A.At a production level of1040hamburgers, the profit isdecreasingat a rate of$nothingper hamburger. B.At a production level of1040hamburgers, the profit isincreasingat a rate of$nothingper hamburger.

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Answered: Until recently, hamburgers at the city…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Until recently, hamburgers at the city sports arena cost $2.50 each. The food concessionaire sold an average of 1,375 hamburgers on game night. When the price was raised to $3.00, hamburger sales dropped off to an average of 1,250 per night. The concessionaire's fixed costs were $1,133.60 per night and the variable cost was $2.60 per hamburger. Answer the following questions (A) through (F).

(A) Assume that the relationship between price p and demand x is linear. Express p as a function of x and find the domain of this function.

p=nothing

The domain of p is

nothing.

(Type a compound inequality.)

(B) Find the revenue function in terms of x and state its domain.

R(x)=nothing

The domain of R(x) is

nothing.

(Type a compound inequality.)

C(x)=nothing

(D) Graph the cost function and the revenue function in the same coordinate system. Choose the correct graph below.

Find the break-even points.

The break-even points are

nothing.

(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)

(E) Find the profit function in terms of x.

P(x)=nothing

(F) Evaluate the marginal profit at

x=1040

and interpret the results.

The marginal profit at

x=1040

$nothing.

Interpret the marginal profit.

At a production level of

1040

hamburgers, the profit is

decreasing

at a rate of

$nothing

per hamburger.

At a production level of

1040

hamburgers, the profit is

increasing

at a rate of

$nothing

per hamburger.

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