A small fast-food restaurant invests $4,000 to produce a new food item that will sell for $4.59. Each item can be produced for $2.19.

(a) How many items must be sold to break even? (Round your answer to the nearest whole number.)

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(b) How many items must be sold to make a profit of $5,500? (Round your answer to the nearest whole number.)

items

1 answer

the cost for x items is 4000+2.19x
the income for x items is 4.59x

Breakeven is where income and cost are equal:

4.59x = 4000 + 2.19x

For 5500 profit, you need

4.59x = 4000 + 2.19x + 5500