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