Question
1. A company manufactures fuel tanks for cars. The total weekly cost (in dollars) of producing x tanks is given by C(x) = 10,000 +
1. A company manufactures fuel tanks for cars. The total weekly cost (in dollars) of producing x tanks is given by C(x) = 10,000 + 90x - 0.05x^2
a) Find the marginal cost function.
b) Find the marginal cost at a production level of 500 tanks per week.
c) Find the exact cost of producing the 501st item.
2. The total cost of producing x bicycles is given by the cost function C(x) = 10,000 + 150x - 0.2x^2
a) Find the exact cost of producing the 121st bicycle.
b) Use marginal cost to approximate the cost of producing the 121st bicycle.
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