The marginal cost Cq in dollars per unit of producing q unit

The marginal cost C\'(q) (in dollars per unit) of producing q units is given in the following table. Round your answers to the nearest integers. If fixed cost is $ 14,000, estimate the total cost of producing 400 units. The cost of producing 400 units is. To the nearest dollar, how much would the total cost increase if production were increased one unit, to 401 units? The total cost increase If production were increased one unit is $ .

Solution

a)by left end point

variable cost =100*[21+18+13+19] =7100

by right end point

variable cost =100*[18+13+19+23] =7300

now by average

variable cost =[7100+7300]_/2

variable cost of producing 400 units =7200

fixed cost =14000

total cost =14000+7200

total cost of producing 400 units =21200 dollars

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b)increase in total cost for 401^{th unit} =C\'(400) =23 dollars

total cost of producing 401 units =21223 dollars