Question

A company that manufactures bicycles has a fixed cost of $100,000 for equipment and facilities. It cost $100 in parts and labor to produce each bicycle. The bicycles will sell for $300 each. Find the number of bicycles needed to be sold in order for the company to have a gain.

Could someone explain how to find this?

A club can buy shirts for $14.50 each. Alternately, it can make the shirts by buying plain T-Shirts for $6.25 each, fabric paint for $32.75, and a pack of stencils for $8.50. For how many shirts is making the T-shirts cost the same as buying the shirts?
And this?

Answer 1

I need help to get better understaning on how to create 1 variable equations

Answer 2

cost for x bikes is 100,000 + 100x
income from x bikes is 300x
To have a gain, income > cost
So, you need
300x > 100,000 + 100x
200x > 100,000
x > 500
Check: for 501 bikes, cost is 150100, revenue is 150300, so a gin
For 499 bikes, cost is 149,900 and revenue is 149700, so a loss

See what you can do with the other one.

Answer 3

I am confused on the other one But I know to try and use the information given so here is my try.
6.25+32.75+8.50 = 14.50T

I used T as the variable

Answer 4

Did I do it right oobleck