a regrkgerator manufacturer determines that the marginal cost of the xth refrigerator is given by: C'(x)=-.02x+350, with C(0)=50. Find the total cost of producing 60 refrigerators.
I think I am supposed to integrate and get C(x)=-.01x^2+350x
but im not sure where the C(0)=50 comes in. I know the final answer is $20,690 i just dont know how to get there.
Calculus problem: Find the total cost of producing 60 refrigerators given the marginal cost?
2017-12-18 10:15 am
回答 (2)
2017-12-18 10:29 am
C(x) = ∫-0.02x+350 dx
C(x) = -0.01x^2+350x+D
C(0) = D = 50
C(x) = -0.01x^2+350x+50
C(60) = -36+21,000+50
= $21,014
C(x) = -0.01x^2+350x+D
C(0) = D = 50
C(x) = -0.01x^2+350x+50
C(60) = -36+21,000+50
= $21,014
2017-12-18 11:57 am
C(0) = 50. This is the constant.
So add $50 to the integral.
C'(x) = .02x + 350
C(x) = .01x^2 + 350x + 50
So add $50 to the integral.
C'(x) = .02x + 350
C(x) = .01x^2 + 350x + 50
收錄日期: 2021-04-24 00:54:29
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