Next Suppose the Sunglasses Hut Company has a profit function given by P(q) = -0.03q2 + 3q- 44, where q is the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit, in thousands of dollars, from selling and producing q pairs of sunglasses. A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) Answer: MP(q): = B) How many pairs of sunglasses (in thousands) should be sold to maximize profits? (If necessary, round your answer to three decimal places.) Answer: thousand pairs of sunglasses need to be sold. C) What are the actual maximum profits (in thousands) that can be expected? (If necessary, round your answer to three decimal places.) Answer: thousand dollars of maximum profits can be expected. Question Help: Video Submit Question

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
icon
Related questions
Question
Question 13
purchase eq
Next
Suppose the Sunglasses Hut Company has a profit function given by P(q) = -0.03q²+3q-44, where q is
the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit, in thousands of
dollars, from selling and producing q pairs of sunglasses.
A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your
answer.)
Answer: MP(q)=
B) How many pairs of sunglasses (in thousands) should be sold to maximize profits? (If necessary, round your
answer to three decimal places.)
Answer:
thousand pairs of sunglasses need to be sold.
C) What are the actual maximum profits (in thousands) that can be expected? (If necessary, round your answer
to three decimal places.)
Answer:
thousand dollars of maximum profits can be expected.
Question Help: Video
Submit Question
esc
<
2.
@
12
17
Q
W
ck
A
a
$
54
#3
S
%
15
MacBook Pro
66
27
&
8*
E
R
T
Y
U
D
LL
F
GH
Transcribed Image Text:Question 13 purchase eq Next Suppose the Sunglasses Hut Company has a profit function given by P(q) = -0.03q²+3q-44, where q is the number of thousands of pairs of sunglasses sold and produced, and P(q) is the total profit, in thousands of dollars, from selling and producing q pairs of sunglasses. A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) Answer: MP(q)= B) How many pairs of sunglasses (in thousands) should be sold to maximize profits? (If necessary, round your answer to three decimal places.) Answer: thousand pairs of sunglasses need to be sold. C) What are the actual maximum profits (in thousands) that can be expected? (If necessary, round your answer to three decimal places.) Answer: thousand dollars of maximum profits can be expected. Question Help: Video Submit Question esc < 2. @ 12 17 Q W ck A a $ 54 #3 S % 15 MacBook Pro 66 27 & 8* E R T Y U D LL F GH
Expert Solution
steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage