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Question # 4 a. Evaluate Lim x →6 x^2 - 36/x^2 + 5x - 6 b....

Question # 4

a. Evaluate Lim x →6 x^2 - 36/x^2 + 5x - 6

b. the demand curve of a firm is p = -10q + 5900 and its average cost is A (q) = 2q^2 - 4q + 140 + 845/q. where q is the firm's output produced and sold.

1. derive an expression for the total revenue of the firm

ii. derive an expression for the firm's total profit function

iii. derive an expression for the rate of change of profit function of the firm.

iv. is the rate of change of profit increasing or decreasing when the firm's output level is q = 50?

v. determine the level of output for which the total profit of the firm is maximized

vi. what is the firm's maximum profit.

Math   Calculus   
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