Question

the amount of profit, p, you earn by selling knives,k, can be determined by:p=200k-500. A) determine the constraints on profit and the constraints on the number of knives sold
B) what happens to your profit as you sell more knives.
C) is it possible to make $14,000 profit? explain.

Answer 1

(A) The constraint in the profit is calculated by letting p be equal to zero first,
                                 p = 200k - 500 = 0
                                      k = 2.5
If the number of knives sold is less than 3, then there is no profit. 

(B) As more knives are sold, the amount of profit becomes higher. 

(C) Yes it is
                           P = 200k - 500
                          14000 = 200k - 500 ; k = 72.5
To be able to do so, at least 73 knives should be sold.