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erik [133]
3 years ago
7

A factory sells backpacks for $40.00 each. The cost to make 1 backpack is $10.00. In addition to the cost of making backpacks, t

he factory has operating expenses of $12,000 per week. The factory's goal is to make a profit of at least $9,800 per week. Which inequality represents the number of backpacks, x, that need to be sold each week for the factory to meet this goal?
Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
7 0

Answer:

<h2>The factory needs to sell 327 packbacks to make at least 9,800 per week.</h2>

Step-by-step explanation:

We know that each backpacks is sold for $40.00.

The goal is to make at least $9,800 per week. With this information we can define the inequality

40x -10x \leq 9,800

Where x represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so

30x\leq 9,800

Solving for x

x\leq \frac{9800}{30}\\ x \leq 326.67

Therefore, the factory needs to sell 327 packbacks to make at least 9,800 per week.

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