Question

(Marginal cost) The cost of manufacturing $x$ refrigerators is $\$ C(x),$ where $$C(x)=8,000+400 x-0.5 x^{2}$$ (a) Find the marginal cost if 100 refrigerators are manufactured. (b) Show that the marginal cost is approximately the difference in cost of manufacturing 101 refrigerators instead of 100 .

          (Marginal cost) The cost of manufacturing $x$ refrigerators is $\$ C(x),$ where $$C(x)=8,000+400 x-0.5 x^{2}$$ (a) Find the marginal cost if 100 refrigerators are manufactured.
(b) Show that the marginal cost is approximately the difference in cost of manufacturing 101 refrigerators instead of 100 .

Added by Matthew Q.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

04/29/2022

Step 1

Step 1: To find the marginal cost, we need to find the derivative of the cost function $C(x)$ with respect to $x$. Show more…

Show all steps

Thanks for your feedback!

(Marginal cost) The cost of manufacturing $x$ refrigerators is $\$ C(x),$ where $$C(x)=8,000+400 x-0.5 x^{2}$$ (a) Find the marginal cost if 100 refrigerators are manufactured. (b) Show that the marginal cost is approximately the difference in cost of manufacturing 101 refrigerators instead of 100 .