As a business goal, a small electronics store looks to sell at least $7600 worth of televisions and projection systems per day. The price per television is $475 and the price per projection system is $360. In order to keep costs down, the owner never has more than 25 items total in the store.

The question is incomplete:

As a business goal, a small electronics store looks to sell at least $7600 worth of televisions and projection systems per day. The price per television is $475 and the price per projection system is $360. In order to keep costs down, the owner never has more than 25 items total in the store. Let x represent the number of televisions and y represent the number of projection systems sold in a given day. Write a system of inequalities that describes what is necessary to obtain the stores goal.

The system of inequalities that describes what is necessary to obtain the stores goal is:

x+y≤25

475x+360y≥7600

Step-by-step explanation:

According to the information provided, you know that the owner never has more than 25 items total in the store which means that the sum of the amount of televisions and projection systems is less than or equal to 25, which can be expressed as:

x+y≤25, where:

x is the number of televisions

y is the number of projection systems

Also, the statement indicates that the price per television is $475 and the price per projection system is $360 and that the store looks to sell at least $7600 worth of televisions and projection systems per day. This means that the result of adding up the sales of televisions and projection systems should be greater than or equal to 7600:

475x+360y≥7600

The answer is that the system of inequalities that describes what is necessary to obtain the stores goal is:

x+y≤25

475x+360y≥7600

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step-by-step explanation:

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