Question

Question number 1 You are comparing the costs of producing jewelry at two different manufacturers. Company 1 charges $3.25 per piece of jewelry plus a $400 flat fee. Company 2 charges $2.50 per pair piece of jewelry plus a $600 flat fee. How many pieces of jewelry are produced when the total costs for both companies are equal? Company 1 = $3.25x + 400 Company 2 = $2.50x+600 Solve the following equation to determine when the costs are equal 3.25x + 400 = 2.50x + 600 X=1333.33 DOC x=173.91 x=34.78 C O x=266.67

Answer 1

The value of x at equal total cost is 266.67

Here, we want to solve the equation to get the x-value that shows the total costs for the two companies are equal

We proceed as follows;

$\begin{gathered} 3.25x\text{ + 400 = 2.50x + 600} \\ 3.25x-2.50x\text{ = 600-400} \\ \\ 0.75x\text{ = 200} \\ \\ x\text{ = }\frac{200}{0.75} \\ x\text{ = 266.67} \end{gathered}$