Suppose that an appliance maker determines that in order to sell q appliances, the price per appli- ance must be p = 280 ? 0.4q The appliance maker has also determined the total cost to produce q appliances is C(q) = 5000 + 0.6q2 (a) What is the revenue function R(q)? (b) What is the pro t function P(q)? (c) What is the maximum pro t? (d) How many items must be produced and sold to yield the maximum pro t? (e) What price per appliance must be charged to maximize pro

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 6SC: A company that makes and sells baseball caps has found that the total monthly cost C in dollars of...
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Suppose that an appliance maker determines that in order to sell q appliances, the price per appli-
ance must be
p = 280 ? 0.4q
The appliance maker has also determined the total cost to produce q appliances is
C(q) = 5000 + 0.6q2
(a) What is the revenue function R(q)?
(b) What is the pro t function P(q)?
(c) What is the maximum pro t?
(d) How many items must be produced and sold to yield the maximum pro t?
(e) What price per appliance must be charged to maximize pro t?
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