Suppose the Sunglasses Hut Company has a profit function given by P(q) : the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit, in thousands of dollars, – 0.02q² + 5q – 44, where q is from selling and producing q pairs of sunglasses. A) How many pairs of sunglasses should be sold to maximize profits? (If necessary, round your answer to the nearest whole number of sunglasses.) Answer: pairs of sunglasses need to be sold. B) What are the actual maximum profits? (If necessary, round your answer to nearest whole number of dollars.) Answer: dollars of maximum profits can be expected.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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Question
Suppose the Sunglasses Hut Company has
a profit function given by
P(q) :
the number of thousands of pairs of
sunglasses sold and produced, and P(q)
is the total profit, in thousands of dollars,
– 0.02q² + 5q – 44, where q is
from selling and producing q pairs of
sunglasses.
A) How many pairs of sunglasses should
be sold to maximize profits? (If necessary,
round your answer to the nearest whole
number of sunglasses.)
Answer:
pairs of
sunglasses need to be sold.
B) What are the actual maximum profits?
(If necessary, round your answer to
nearest whole number of dollars.)
Answer:
dollars of
maximum profits can be expected.
Transcribed Image Text:Suppose the Sunglasses Hut Company has a profit function given by P(q) : the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit, in thousands of dollars, – 0.02q² + 5q – 44, where q is from selling and producing q pairs of sunglasses. A) How many pairs of sunglasses should be sold to maximize profits? (If necessary, round your answer to the nearest whole number of sunglasses.) Answer: pairs of sunglasses need to be sold. B) What are the actual maximum profits? (If necessary, round your answer to nearest whole number of dollars.) Answer: dollars of maximum profits can be expected.
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