Question

P=3.20(g−1,250)P, equals, 3, point, 20, left parenthesis, g, minus, 1, comma, 250, right parenthesis Elena's Dry Cleaning cleans ggg garments every month. The above equation gives Elena's monthly profit, P, in dollars, g for garments cleaned. What is the meaning of the 1{,}2501,2501, comma, 250 in the equation?

Answer 1

Using the given profit function, it is found that 1,250 is the break-even point, that is, the amount of garments cleaned for which her profit is 0.

What is the profit function?

Elena's monthly profit, P(g), for g garments cleaned, is given by:

$P(g) = 3.20(g - 1250)$

• For g < 1250, we have that P(g) < 0, that is, she loses money.

• For g > 1250, we have that P(g) > 0, that is, she makes money, earning a profit.

Hence, 1,250 is the break-even point, that is, the amount of garments cleaned for which her profit is 0.

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