SOLUTION: Please help me to solve this problem. A manufacturer's marginal-cost function is {{{dc/dq=0.2q+8}}}. If c is in dollars, determine the cost involved to increase production from 65
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Question 465332: Please help me to solve this problem. A manufacturer's marginal-cost function is . If c is in dollars, determine the cost involved to increase production from 65 to 75 units.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
The increase from 65 to 75 units can be modeled by the integral
\, dq)
because the marginal cost represents how much more it costs to increase one unit (or an arbitrarily small number of units) and the integral "accumulates" this cost.
Integrating, we get
 = 0.1q^2 + 8q = (0.1(75)^2 + 8(75)) - (0.1(65)^2 + 8(65)) = 220)
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