Problema Solution

The profit from the production and sale of specialty golf hats is given by the function p(x)=20x-4000, where x is the number of hats produced and sold. Producing and selling how many units will give a profit of 8000?, and how many units must be produced and sold to avoid a loss?

Answer provided by our tutors

we want to solve for p(x)=8000


8000 = 20x-4000

solving for 'x' we have x=600


selling 600 golf hats will product a profit of $8,000


to avoid a loss, we solve:

0 <= 20x-4000

solving for 'x' we have x>=200


200 or more hats must be sold to avoid a loss