Assume that the situation can be expressed as a linear cost function. Find the cost function in this case. Marginal​ cost: $20​; 190 items cost ​$7500 to produce. The linear cost function is ​C(x) = ____.

Respuesta :

The linear cost function is given by C(x) = 20x + 3700

Linear cost function

The linear cost function is in the form:

C(x) = mx + b

where m is the marginal cost (slope) and b is the fixed cost (y intercept)

Given a marginal cost of $20, hence:

C(x) = 20x + b

Also, 190 items cost ​$7500, hence:

7500 = 20(190) + b

b =  3700

The linear cost function is given by C(x) = 20x + 3700

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