4. You are the manager of a fast food restaurant that sells hamburgers. The revenue function is given by R(x) = x * p(x) where x represents the number of units a company can produce or sell. R(x) is defined as the number of units sold multiplied by the price per unit. p(x) is represented as price as a function of x. You are given the following function to represent the monthly demand for hamburgers: 60000 – x p(x) = 20000 Your firm wants to determine the following: a. Company’s revenue function R(x) b. Number of hamburgers sold if R(x) = 0 c. Revenue if the number of hamburgers sold, x, is 100 units.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 56E
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4. You are the manager of a fast food restaurant that sells hamburgers. The revenue function is
given by
R(x) = x * p(x)
where x represents the number of units a company can produce or sell. R(x) is defined as the
number of units sold multiplied by the price per unit. p(x) is represented as price as a
function of x. You are given the following function to represent the monthly demand for
hamburgers:
60000 – x
p(x):
20000
Your firm wants to determine the following:
a. Company's revenue function R(x)
b. Number of hamburgers sold if R(x)
c. Revenue if the number of hamburgers sold, x, is 100 units.
= 0
Transcribed Image Text:4. You are the manager of a fast food restaurant that sells hamburgers. The revenue function is given by R(x) = x * p(x) where x represents the number of units a company can produce or sell. R(x) is defined as the number of units sold multiplied by the price per unit. p(x) is represented as price as a function of x. You are given the following function to represent the monthly demand for hamburgers: 60000 – x p(x): 20000 Your firm wants to determine the following: a. Company's revenue function R(x) b. Number of hamburgers sold if R(x) c. Revenue if the number of hamburgers sold, x, is 100 units. = 0
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