The annual profit for a firm depends upon the number of units produced .Specifically the functions which describes the relationshipbetween profit P ( states in dollars ) and the number of units produced X is

P = - 0.12+ 6,000x - 25,000,000

Determine the number of units x which will result in maximum profit.

What is the expected maximum profit?

(b) Given the demand function

q1 = f (- = 36,000 - 0.1- 0.5p

Determine the partial derivatives fand f

If = 20 and = 10, evaluate fand pand interpret their meaning.