Question 326080
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The marginal cost is the increase in cost each time one additional unit is produced.  It is the slope of the cost function at any given point.  Since your cost function is linear and is defined in slope intercept form, the marginal cost is simply the coefficient on *[tex \Large x].


The average cost to produce *[tex \Large x] units is the total cost to produce *[tex \Large x] units, namely *[tex \Large C(x)], divided by the number of units produced, *[tex \Large x].  That means the Average Cost function is:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ AC(x)\ =\ \frac{C(x)}{x}]


So for 100 units:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ AC(100)\ =\ \frac{C(100)}{100}\ =\ \frac{30(100)\ +\ 85}{100}]


I'll let you do your own arithmetic.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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