Question 4: Anna's sandwiches deli has found that the monthly demand for their chicken sandwich is given by: 30,000 – x p(x) = 10,000 And the cost of making x sandwiches is C(x) = 6000 + 0.8x. How many sandwiches does Anna have to sell to maximize profit? What profit would she make if she were to achieve this level of sales?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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1. Calculate the equations of the appropriate functions 

2. Calculate the derivative of the profit function 

3. Calculate  the critical points 

4. Give a therefore statement

Question 4: Anna's sandwiches deli has found that the monthly demand for their chicken sandwich is given
by:
30,000 — х
p(x)
%D
10,000
And the cost of making x sandwiches is C(x) = 6000 + 0.8x. How many sandwiches does Anna have to sell to
maximize profit? What profit would she make if she were to achieve this level of sales?
Transcribed Image Text:Question 4: Anna's sandwiches deli has found that the monthly demand for their chicken sandwich is given by: 30,000 — х p(x) %D 10,000 And the cost of making x sandwiches is C(x) = 6000 + 0.8x. How many sandwiches does Anna have to sell to maximize profit? What profit would she make if she were to achieve this level of sales?
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