beth makes keychains using a 3d printer and sells them for $3 each. to set up her business, she spent $224…

beth makes keychains using a 3d printer and sells them for $3 each. to set up her business, she spent $224 on her 3d printer and $100 on a website. each keychain costs $0.75 in materials to make. how many keychains must beth sell for her sales to equal her expenses?

beth makes keychains using a 3d printer and sells them for $3 each. to set up her business, she spent $224 on her 3d printer and $100 on a website. each keychain costs $0.75 in materials to make. how many keychains must beth sell for her sales to equal her expenses?

Answer

Answer:

144

Explanation:

Step1: Calculate total expenses

Total expenses = Cost on 3D printer + Cost on website + Cost of materials per keychain * Number of keychains. Let the number of keychains be (x). Total expenses (E=224 + 100+0.75x=324 + 0.75x)

Step2: Calculate total revenue

Total revenue (R = 3x) (since each key - chain is sold for $3)

Step3: Set up the equation for break - even

At break - even, (R = E). So, (3x=324 + 0.75x)

Step4: Solve the equation

Subtract (0.75x) from both sides: (3x-0.75x=324). (2.25x = 324). Then (x=\frac