Question

A sports memorabilia store makes $6 profit on each football it sells and $5.50 profit on each baseball it sells. In a typical month, it sells between 35 and 45 footballs and between 40 and 55 baseballs. The store has no more than 80 footballs and baseballs in stock during the month. What is the maximum profit the store can make from selling footballs and baseballs in a month? $457.50 $460.00 $462.50 $572.50

Answer 1

the answer to this problem is $460.00

Answer 2

The answer is option B : $460.

Explanation:

A sports memorabilia store makes $6 profit on each football it sells and $5.50 profit on each baseball it sells.

Let there be x footballs and y baseballs, then we have

`p=6x+5.5y`

Now footballs sells between 35 and 45 so, range is :
`35\leq x\leq 45`

And baseballs sells between 40 and 55 so, range is :
`40\leq y\leq 55`

The store has no more than 80 footballs and baseballs in stock during the month, this gives ,
`x+y\leq 80`

Now out of 80, at least 40 are baseballs.

So, there are only 40 footballs at most.

The store gets maximum if they sell 40 footballs and 40 baseballs.

This gives a total profit of
`40(6)+40(5.5)=460` dollars.

Therefore, the answer is option B : $460.