What is the total cost incurred by Ditton in producing the 201st through 300th units/day?

Question

Marginal Cost

 A division of Ditton Industries manufactures a deluxe toaster oven. Management has determined that the daily marginal cost function associated with producing these toaster ovens is given by

C'(x)= 0.0006x^2-0.14x+25

where C'(x) is measured in dollars per unit and x denotes the number of units produced. Management has also determined that the daily fixed cost incurred in the production is $900.

Answer 1

C((x) = ∫(0.0006x² - 0.14x + 25)dx = 0.0002x³ - 0.07x² + 25x + 900 (because fixed cost is 900).

C(300) - C(200) = 7500 - 4700 = $2800