Question

Nelsons manufactures baseballs at a cost of $7.50 each with fixed costs of $10,000. If one baseball sells for $12, how many must they sell to make a profit of $12,000?

Answer 1

Answer:

4889 baseball must be sold to make a profit of $12,000.

Step-by-step explanation:

Given information:

Cost of each baseball = $7.50

Fixed costs = $10,000

Selling price of each baseball = $12

We need to find the number of baseballs must be sold to make a profit of $12,000. It means the difference between total selling price cost price is 12000.

Let the number of baseballs be x.

$12000=12x-(7.50x+10000)$

$12000=12x-7.50x-10000$

$12000=4.50x-10000$

Add 10000 from both sides.

$12000+10000=4.50x$

$22000=4.50x$

Divide both sides by 4.50.

$\frac{22000}{4.50}=x$

$x=4888.889$

$x\approx 4889$

Therefore 4889 baseball must be sold to make a profit of $12,000.

Answer 2

Profit = revenue - expenses
12000 = 12x - (7.50x + 10,000)
12,000 = 12x - 7.50x - 10,000
12,000 + 10,000 = 4.5x
22,000 = 4.5x
22,000 / 4.5 = x
4888.88 rounds to 4889 = x......4889 baseballs