Answer:
The cost of material is equal to $30
![\text{ \$30}](https://img.qammunity.org/2023/formulas/mathematics/college/ciozg2tuwgk78vl8i51uxz8hjb9srutlxu.png)
Step-by-step explanation:
From the given question, Valerie first has to buy materials before she can make and sell bracelets.
![\text{Profit}=\text{ cost of bracelet sold - cost of materials bought}](https://img.qammunity.org/2023/formulas/mathematics/college/jd349ygmvid72jzvvyembcmpvs7eyzbv5d.png)
In this question we will assume that the same amount of materials was purchased for each case on the table.
When the number of bracelet sold is zero, the cost of bracelet sold will be zero.
So,
![\begin{gathered} \text{Profit = 0 - cost of materials bought} \\ \text{Profit = -1 }*\cos t\text{ of materials bought} \\ \cos t\text{ of material = -1}* profit \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/4uhy74ljdkkpvglyyxvjf8m87tqgmx4n4j.png)
From the table, at number of bracelet sold = 0, the profit is -$30;
![\begin{gathered} \text{ cost of materials = -1 }*-\text{\$30} \\ \cos t\text{ of material = \$30} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/5iuyd4u8iap2hc0gv2wiehgbom7kwzhg5b.png)
Therefore, the cost of material is equal to $30
![\text{ \$30}](https://img.qammunity.org/2023/formulas/mathematics/college/ciozg2tuwgk78vl8i51uxz8hjb9srutlxu.png)