Question

The factory sells a sports drawstring bag for $30. The cost to make 1 bag is $10. In addition to the cost of making the sports bags the company has operating expenses of $10,000 per week. The factory’s goal is to make a profit of at least $1000 each week. Write an inequality that represents the number of backpacks, x, that need to be sold each week for the factory to meet this goal? How many backpacks must the factory sell to meet its weekly goal?

Answer 1

The inequality that represents the number of backpacks to sell is $30x - $10x  - 10,000 ≥ 1000

The number of backpacks the factory must sell in order to meet its weekly goal is 550.

How many backpacks must be sold?

Here are inequality signs and what they mean:

• > means greater than
• < means less than
• ≥ means greater than or equal to
• ≤ less than or equal to

Profit is total revenue less total cost.

Profit = total revenue - total variable cost - operating expense

$30x - $10x  - 10,000 ≥ 1000

$20x  ≥ 11,000

x  ≥ 11000 / 20

x  ≥ 550

To learn more about inequality, please check: https://brainly.com/question/5031619

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