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? keychains

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? keychains

Answer

Explanation:

Step1: Calculate total fixed - costs

The fixed - costs are the cost of the 3D printer and the website. So, the total fixed - costs $F = 224 + 100=324$ dollars.

Step2: Calculate the profit per keychain

The selling price per keychain is $S = 3$ dollars and the cost per keychain is $C = 0.75$ dollars. The profit per keychain $P=S - C=3 - 0.75 = 2.25$ dollars.

Step3: Set up an equation to find the break - even point

Let the number of keychains be $x$. We want the total profit from selling $x$ keychains to cover the fixed costs. So, $2.25x=324$.

Step4: Solve for $x$

$x=\frac{324}{2.25}=144$.

Answer:

144