TJ Technologies Ltd. is developing a new computer chip. Through market analysis, it is determined that the total cost of developing a chips is q³ C(q) = -5q² + 200g + 2000. (dollars) 3 The chips will be sold for $800 each. (i) Formulate the company's profit function P(q), then determine how many chips the company should sell in order to maximize this profit. (Recall: Profit is revenue minus cost.) (ii) The marginal cost function is defined to be the derivative C(q) of the total cost function. Find the production level q that minimizes the marginal cost C'(q).

The manufacturer of an energy drink spends $1.40 to make each drink and sells them for $3. The manufacturer also has fixed costs each month of $8000. a. Find the cost function C when x energy drinks are manufactured C(x)= b. Find the revenue for R when x drinks are soldR(x)= c. Find the break even point by any method  x=         drinks