Until recently, hamburgers at the city sports arena cost $2.50 each. The food concessionaire sold an average of 1,500 hamburgers on game night. When the price was raised to $3.20, hamburger sales dropped off to an average of 800 per night. The concessionaire's fixed costs were $1,162.80 per night and the variable cost was $1.21 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= 4-0.001x The domain of p is 0≤x≤4000 (Type a compound inequality.) (B) Find the revenue function in terms of x and state its domain. R(x)= -0.001x² + 4x The domain of R(x) is 0≤x≤4000 (Type a compound inequality.) (C) Assume that the cost function is linear. Express the cost function in terms of x. C(x) =

Until recently, hamburgers at the city sports arena cost $2.50 each. The food concessionaire sold an average of 1,500 hamburgers on game night. When the price was raised to $3.20, hamburger sales dropped off to an average of 800 per night. The concessionaire's fixed costs were $1,162.80 per night and the variable cost was $1.21 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= 4-0.001x The domain of p is 0≤x≤4000 (Type a compound inequality.) (B) Find the revenue function in terms of x and state its domain. R(x)= -0.001x² + 4x The domain of R(x) is 0≤x≤4000 (Type a compound inequality.) (C) Assume that the cost function is linear. Express the cost function in terms of x. C(x) =

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

C) Assume that the cost function is linear. Express the cost function in terms of x D) graph the cost function and revenue function E) find the break even points

Until recently, hamburgers at the city sports arena cost $2.50 each. The food concessionaire sold an average of 1,500 hamburgers on game night. When the price was raised to $3.20, hamburger sales dropped off to an
average of 800 per night. The concessionaire's fixed costs were $1,162.80 per night and the variable cost was $1.21 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=4-0.001x
The domain of p is 0≤x≤4000 (Type a compound inequality.)
(B) Find the revenue function in terms of x and state its domain.
R(x)= -0.001x² + 4x
The domain of R(x) is 0≤x≤4000 (Type a compound inequality.)
(C) Assume that the cost function is linear. Express the cost function in terms of x.
C(x) =

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