Suppose that the dollar cost of producing x radios is c(x) = 800 + 40x - 0.2x2. Find the marginal cost when radios are produced.

MC = 40 – 0.4x

Explanation:

Given the cost of producing the radio, C(X) = 800 + 40x – 0.2x^2

Now we have to find the marginal cost from the total cost. Since we know that the marginal cost can be derived from the total cost by taking the differentiation of total cost function with respect to x. therefore, below is the calculation of marginal cost.

C(X) = 800 + 40x – 0.2x^2

MC = d(c)/dx = 40 – 0.4x

MC = 40 – 0.4x

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