Suppose a ceiling fan manufacturer has the total cost function  C(x) = 35x + 1200  and the total revenue function  R(x) = 65x. (a) What is the equation of the profit function P(x) for this commodity? P(x) =    (b) What is the profit on 20 units? P(20) =  Interpret your result. The total costs are less than the revenue. The total costs are more than the revenue.    The total costs are exactly the same as the revenue. (c) How many fans must be sold to avoid losing money? fans

Essentials of Business Analytics (MindTap Course List)
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ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter13: Nonlinear Optimization Models
Section: Chapter Questions
Problem 2P: The Cobb-Douglas production function is a classic model from economics used to model output as a...
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Suppose a ceiling fan manufacturer has the total cost function 

C(x) = 35x + 1200

 and the total revenue function 

R(x) = 65x.
(a) What is the equation of the profit function P(x) for this commodity?
P(x) = 
 
(b) What is the profit on 20 units?
P(20) = 

Interpret your result.
The total costs are less than the revenue. The total costs are more than the revenue.    The total costs are exactly the same as the revenue.

(c) How many fans must be sold to avoid losing money?
 fans
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