Applications of Derivatives. Suppose that the demand equation for a certain commodity is p = 4 -.0002x,

where x is the number of units produced each week and p pesos is the price of

each units. The cost of producing x units is C(x) =600 +3x. If the weekly profit is

to be as large as possible : Find

a. The number of units that should be produced each week

b. The price of each unit

c. The weekly profit