The demand, are established within the daily production line of Stereo Company. is defined as the price per unit while x is the quantity demanded. which is the total cost of producing x units of item are provided with the equation . To obtain the maximum profit, Stereo Company requires exactly 100 units. On the other hand, if Stereo Company produces 80 units of item, the profitis amount to $500. Hint: Find the total revenue function and total profit function first.

a) Find values of a and b. Both a and b are constants.

b) Find the marginal profit when 85 units are produced and sold.

c) Find the maximum profit of Stereo Company.

p= 100 = ac C(C 2 C(C) = b + 5x 2 =