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 to 75 units.

Question

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 to 75 units.

Answer 1

Δc = Integral from q₁ to q₂ of (dc/dq)dq from the fundamental theorem of calculus.

Δc = integral from 65 to 75 of (.2q+8)dq = .1q² + 8q evaluated at 75 minus the evaluation at 65.

I'll leave you to do the input and calculation.

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