Question

-- - X 3. A small manufacturing company makes and sells x machines each month. The monthly cost C, in dollars, of making x machines is given by C(x) = 2600 + 0.4x2 The monthly income I, in dollars, obtained by selling x machines is given by 1(x) = 150x – 0.6x2. (a) Show that the company's monthly profit can be calculated using the quadratic function 2 P(x) = + 150x - 2600. (2) (b) The maximum profit occurs at the vertex of the function P(x). How many machines should be made and sold each month for a maximum profit? (2) (c) If the company does maximize profit, what is the selling price of each machine? (4) (d) Given that P(x) = (x - 20) (130 - x), find the smallest number of machines the company must make and sell each month in order to make positive profit. (4 (Total 12 marks​

Answer 1

Answer:

Maximu profit (2) (c) I'd the company does maximize