Word Problem Need Help

Question

The profit (P) from selling printers is given by the formula P=324x-660, where x is the number of printers sold. How many printers must be sold to obtain a profit of $1200?

Answer 1

Substitute the variable P for the desired profit of 1200, then solve for x.

 

P=324x-660

1200=324x-660

1200+660=324x-660+660

1860=324x

(1860/324)=(324x/324)

5.74=x

 

So, you have to 6 printers at a price of $324, subtracted a fixed cost of $660, for your profit to exceed $1200.

To have a theoretical profit of exactly $1200, you have to sell 5.74 printers.