60. Total cost from marginal cost. Solid Rock Industries determines that the marginal cost, C'(x), of producing the xth climbing harness is given by C'(x) = x²³ - x. Find the total-cost function, C, assuming that C(x) is in dollars and that fixed costs are $6500.

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Chapter1: Functions And Models
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Question number 60. Finding the anti derivative of the marginal cost to get the cost function. I assumed that 6,500 is the constant at the end of the function
1-
1+1
-
+ x² + x² +6,5.00
Transcribed Image Text:1- 1+1 - + x² + x² +6,5.00
+Domonick Time...
OneLogin
plus.pearson.com
Week 10 Writte...
Chapter 4: Inte
ev-volumes.com.)
a) Find a function S(t) that models the yearly world-
wide sales of electric vehicles t years since 2013.
b) Estimate the yearly worldwide sales in 2020.
60. Total cost from marginal cost. Solid Rock Industries
determines that the marginal cost, C'(x), of producing
the xth climbing harness is given by
C'(x) = x³ - x.
Find the total-cost function, C, assuming that C(x) is in
dollars and that fixed costs are $6500.
61. Total profit from marginal profit. Eloy Chutes determines
that the marginal profit, P'(x), in hundreds of dollars
per unit, from selling the xth parachute is given by
P'(x) = 0.02x - 1.45.
a) Find the total-profit function, P, assuming that
P(0) = 0.
b) How many parachutes does Eloy Chutes need to sell
to break even?
62. Total revenue from marginal revenue. Taylor Ceramics
determines that the marginal revenue, R'(x), in dollars
per unit, from selling the xth vase is given by
R'(x) = 1.68x2 + x + 2.5.
Find the total-revenue function, R, assuming that R(0) = 0.
63. Supply from marginal supply. Keans Corporation finds
shat the rate
which
I
C
Social a
Transcribed Image Text:+Domonick Time... OneLogin plus.pearson.com Week 10 Writte... Chapter 4: Inte ev-volumes.com.) a) Find a function S(t) that models the yearly world- wide sales of electric vehicles t years since 2013. b) Estimate the yearly worldwide sales in 2020. 60. Total cost from marginal cost. Solid Rock Industries determines that the marginal cost, C'(x), of producing the xth climbing harness is given by C'(x) = x³ - x. Find the total-cost function, C, assuming that C(x) is in dollars and that fixed costs are $6500. 61. Total profit from marginal profit. Eloy Chutes determines that the marginal profit, P'(x), in hundreds of dollars per unit, from selling the xth parachute is given by P'(x) = 0.02x - 1.45. a) Find the total-profit function, P, assuming that P(0) = 0. b) How many parachutes does Eloy Chutes need to sell to break even? 62. Total revenue from marginal revenue. Taylor Ceramics determines that the marginal revenue, R'(x), in dollars per unit, from selling the xth vase is given by R'(x) = 1.68x2 + x + 2.5. Find the total-revenue function, R, assuming that R(0) = 0. 63. Supply from marginal supply. Keans Corporation finds shat the rate which I C Social a
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