Chapter 4.2, Problem 29E

In Exercises 1-8, calculate total cost (disregarding any fixed costs) or total profit.

Total cost from marginal cost. Sylvie’s Old Worlds Cheeses has found that its marginal cost, in dollars per kilogram, is

$C^{\prime }\left(x\right)=-0.003x+4.25,\text{ for }x\le 500$,

where x is the number of kilograms of cheese produced. Find the total cost of producing 400 kg of cheese.