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Alex Ar [27]
2 years ago
5

Which inequality can be used to represent this problem? A company spent $15,000 developing a new graffiti repelling paint. The c

ompany makes $10 on the sale of each gallon of paint after subtracting manufacturing costs. How many gallons, x, will they need to sell to have a profit of at least $50,000?
A 10x — 15000 ≥ 50000

B 10x — 15000 > 50000

C 10x + 50000 > 15000

D 10x + 50000 ≥ 15000
Mathematics
1 answer:
AleksandrR [38]2 years ago
7 0

Answer:

The correct answer is:

Option A: A 10x — 15000 ≥ 50000

Step-by-step explanation:

Given that the total cost of manufacturing by the company is $15000.

Let x be the number of gallons the company sells.

It is also mentioned that the company earns $10 on each gallon.

So the total profit will be the the difference of the selling cost of gallons and manufacturing cost

Mathematically,

10x-15000

Now it is mentioned that the profit should be at least 50000 dollars which means the profit can be minimally 50000 and also can be greater than it so

10x-15000 \geq 50000

The number of gallons can be found by solving the obtained inequality.

Hence,

The correct answer is:

Option A: A 10x — 15000 ≥ 50000

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