Suppose you start a business assembling and selling motorized scooters. It costs you $1500 for tools and equipment to get started, and the materials cost $200 for each scooter. Your scooters sell for $300 each.

a. Write and solve a system of equations representing the total costs and revenue of your business.

b. Describe what the solution means in terms of the situation.

c. Give an example of a reasonable number of scooters you could assemble and sell in order to make a profit, and find the profit you would make for that number of scooters.

Question

Mathematics

Gavin Garner

21 July, 19:02

Suppose you start a business assembling and selling motorized scooters. It costs you $1500 for tools and equipment to get started, and the materials cost $200 for each scooter. Your scooters sell for $300 each.

a. Write and solve a system of equations representing the total costs and revenue of your business.

b. Describe what the solution means in terms of the situation.

c. Give an example of a reasonable number of scooters you could assemble and sell in order to make a profit, and find the profit you would make for that number of scooters.

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Answers (1)

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Shannon Ewing · Answer 1

Alright, so the money you make is automatically - 1500 for the tools, so it's - 1500. Next, the materials cost 200 dollars for each scooter, s, so we have - 1500-200s. After that, we have 300 dollars for the sale of each scooter, so we have - 1500-200s+300s. Adding - 200 and 300 together, we have - 1500+100s. To make a profit, that means 100s - 1500 > 0. Dividing by 100, we have

s - 15 >0 and s>15, so if you sold 16 scooters you'd make a profit. That profit would be 100*16-1500=1600-1500=100 dollars