35. The profit for producing x units of a product is given by P = 2400 - 403.4x +32x² - 0.664x³ where 10 ≤ x ≤ 25. Find the marginal profit when (a) x = 10 (b) x = 20 (d) x = 25 (c) x = 23

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
Question
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Can you help me answer this number 35 with a complete solution, thank you so much
dC
dQ
300
350
400 450 500
(b) Find the change in annual cost when Q is in-
creased from 350 to 351 and compare this with
the marginal cost when Q = 350.
35. The profit for producing x units of a product is given
by
SECTION 2.3
P = 2400 - 403.4x + 32x² -0.664x³
where 10 ≤ x ≤ 25. Find the marginal profit when
(a) x = 10
(b) x = 20
(c) x = 23
(d) x = 25
36. The profit for producing x units of a product is given
by
1
8x2
P = 36,000 + 2048Vx -
where 150 ≤ x ≤ 275. Find the marginal profit when
(a) x = 150
(b) x = 175
(c) x = 200
(e) x = 250
(d) x = 225
(f) x = 275
Rates of Change: Velocity and Marginals 167
Transcribed Image Text:dC dQ 300 350 400 450 500 (b) Find the change in annual cost when Q is in- creased from 350 to 351 and compare this with the marginal cost when Q = 350. 35. The profit for producing x units of a product is given by SECTION 2.3 P = 2400 - 403.4x + 32x² -0.664x³ where 10 ≤ x ≤ 25. Find the marginal profit when (a) x = 10 (b) x = 20 (c) x = 23 (d) x = 25 36. The profit for producing x units of a product is given by 1 8x2 P = 36,000 + 2048Vx - where 150 ≤ x ≤ 275. Find the marginal profit when (a) x = 150 (b) x = 175 (c) x = 200 (e) x = 250 (d) x = 225 (f) x = 275 Rates of Change: Velocity and Marginals 167
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