a refrigerator manufacturer can sell refrigerators of a particular type that he can produce. the total cost () of producing x refrigerators per week is given by 300x+2000. the demand function () is estimated as 500-2x.

(a) derive the revenue function R. (b) obtain the total profit function. (c) how many units per week should be produced in order to maximize profit?

(d) Show that the solution of the equation dR/dx = dc/dx where crepresents the cost function, gives the same value for x as in part c.

(e) what is the maximum profit available