Question

The marginal cost for a company to produce q items is given by MC(q) = 0.003q^2 - 0.6q + 650. The company's fixed costs are $8000. Find the company's costs to produce 320 items. The cost at a production level of 320 items is $nothing. (Round answer to nearest tenth.)

          The marginal cost for a company to produce q items is given by MC(q) = 0.003q^2 - 0.6q + 650. The company's fixed costs are $8000. Find the company's costs to produce 320 items. The cost at a production level of 320 items is $nothing. (Round answer to nearest tenth.)
        
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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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The marginal cost for a company to produce q items is given by MC(q) = 0.003q^2 - 0.6q + 650. The company's fixed costs are $8000. Find the company's costs to produce 320 items. The cost at a production level of 320 items is $nothing. (Round answer to nearest tenth.)
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Transcript

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00:01 Hello everyone so here given marginal cost is mcq is equal to 0 .003 q squared minus 0 .6 q plus 650.
00:17 I'm giving this equation number one.
00:19 Now cost cq is equal to integration mcq dq is equal to integration 0 .003 q square minus 0 .0 .0003 q squared minus 0 .0.
00:33 6 q plus 650 d cube that is equal to 0 .003 cube by 3 minus 0 .6 q squared by 2 plus 0 .50 cube plus c so c q is equal to 0 .001 cube minus 0 .3 q square plus 650 cube plus c so i'm giving this equation number 3.
01:05 So we will get given that at q is equal to 0, c is equal to 800, 8 ,000.
01:18 Therefore, 8 ,000 is equal to 0 minus 0 plus 0 plus c...
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