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) Is it possible to make a $14000 profit?

We are given with the formula

p = 200k - 500

a) The constraint for this formula is obtained from the idea that the profit must be positive

200k - 500 > 0

k > 500/200

k > 2.5

b) To make 14000 profit

14000 = 200k - 500

k = 72.5 or 73 knives must be sold