The profit from the supply of a certain commodity is modeled as 76qe 0.5q dollars P(q) where q is the number of units produced. 0 sq 100 (a) Write an expression for the rate of change of profit. dollars per unit P'(q) (b) At what production level in the domain 0 s q s 100 is the rate of change of profit zero? (Round your answer to the nearest whole number.) units q (c) What is profit at the production level found in part (b)? (Round your answer to two decimal places.) $

Question
The profit from the supply of a certain commodity is modeled as
76qe 0.5q dollars
P(q)
where q is the number of units produced. 0 sq
100
(a) Write an expression for the rate of change of profit.
dollars per unit
P'(q)
(b) At what production level in the domain 0 s q s 100 is the rate of change of profit zero? (Round your answer to the nearest whole number.)
units
q
(c) What is profit at the production level found in part (b)? (Round your answer to two decimal places.)
$
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Transcribed Image Text

The profit from the supply of a certain commodity is modeled as 76qe 0.5q dollars P(q) where q is the number of units produced. 0 sq 100 (a) Write an expression for the rate of change of profit. dollars per unit P'(q) (b) At what production level in the domain 0 s q s 100 is the rate of change of profit zero? (Round your answer to the nearest whole number.) units q (c) What is profit at the production level found in part (b)? (Round your answer to two decimal places.) $

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