A company's cost function ($) for constructing x number of goods is C = 0.05 x^(2) + 20x . The company also has an additional fixed cost of $ 10000 . The company is able to sell each goods for a $ 100 each. Assume the company is able to sell every goods it constructs.

a) Determine the condition that will put the company with profits.

b) Determine the company's maximum profit

c) When will this company achieve maximum profit?

Question

A company's cost function ($) for constructing x number of goods is C = 0.05 x^(2) + 20x . The company also has an additional fixed cost of $ 10000 . The company is able to sell each goods for a $ 100 each. Assume the company is able to sell every goods it constructs.

a) Determine the condition that will put the company with  profits.

b) Determine the company's maximum profit

c) When will this company achieve maximum profit?