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A factory sells backpacks for $40. 00 each. The cost to make 1 backpack is $10. 0. In addition to the costs of making backpacks, the factory has operating expenses of $12,000 per week. The factory's goal is to make a profit of at least $980 each week. What is the minimum number of backpacks the factory must sell in order to meet the weekly goal?.

Sagot :

The minimum number of backpacks the factory must sell in order to meet the weekly goal of making profits of $980 each week would be 433 bags.

What is the calculation of the number of bags?

The selling price of one bad is $40 and its production cost is $10. Finally, it has operating expenses of $12,000 per week.

Therefore, the computation would be as follows:

[tex]980= (40-10)x - 12000\\980=30x - 12000\\12,980=30x[/tex]

Finally, to get the value of X, divide both sides with 30;

[tex]\frac{12980}{30} =\frac{30x}{30} \\x=432.67[/tex]

Therefore, the company is required to sell 433 backpacks weekly.

Learn more about the calculation of profits and per unit production here:

https://brainly.com/question/25340185

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