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A gas station has monthly expenses in dollars of 5000+2.2 X. It sells the gas at $2.25 per gallon. How many gallons do they need to sell to make a profit of $3000 per month

Sagot :

The number of gallons to be sold in a month is 160,000 gallons.

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A gas station has monthly expenses in dollars of 5000+2.2 X. It sells the gas at $2.25 per gallon. How many gallons do they need to sell to make a profit of $3000 per month, if X is the number of a gallons sold.

The given parameters include;

total monthly expenses, t = $(5000 + 2.2x)

number of gallons sold,  = x

price of a gallon, p = $2.25

estimated profit in a month, g = $3000

The equation for profit made in a month is as follows;

Total revenue - expenses = profit

2.25x - (5000 + 2.2x) = 3000

2.25x - 5000 - 2.2x = 3000

0.05x = 8000

x = 8000/0.05

x = 160,000 gallons

Therefore, the number of gallons to be sold in order to make the estimated profit in a month is 160,000 gallons.

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