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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?

Respuesta :

texaschic101
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

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.

[tex]12000=12x-(7.50x+10000)[/tex]

[tex]12000=12x-7.50x-10000[/tex]

[tex]12000=4.50x-10000[/tex]

Add 10000 from both sides.

[tex]12000+10000=4.50x[/tex]

[tex]22000=4.50x[/tex]

Divide both sides by 4.50.

[tex]\frac{22000}{4.50}=x[/tex]

[tex]x=4888.889[/tex]

[tex]x\approx 4889[/tex]

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

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