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) =

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter7: Systems Of Equations And Inequalities

Section7.2: Systems Of Linear Equations: Three Variables

Problem 61SE: Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one...

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