Question

Gus plans to sell a limited number of T-shirts
printed with a design he made. It costs him
$690 to purchase the unprinted T-shirts and
the screen printing supplies he needs to
produce his finished product. He prints 50
shirts, and is sure he will sell them all because
his designs are in high demand. He wants his
profit (the difference between his sales
revenue and his expenses) to be at least 60%
of his expenses. If he will only sell his shirts
for a whole dollar amount (for example,
$8.00), what is the lowest price Gus can set
for the shirts? (Disregard the $ sign when
gridding your answer)

Answer 1

Answer:

Under the imposed condition, the lowest price is 23$dollars per shirt.

Step-by-step explanation:

Let x be that lowest price per shirt, in integer number of dollars.

The lowest price will be provided, if he sells all 50 shirts.

So, we write inequality as we read the problem

   50x >= 1.6*690.

Now express x and find it

   x >= %281.6%2A690%29%2F50 = 22.08 dollars.

Since we want to get integer value for x, we round 22.08 to the nearest greater integer value, which is 23.