14. the cost of publishing the school yearbook was $440. the yearbook committee priced the yearbook at…

14. the cost of publishing the school yearbook was $440. the yearbook committee priced the yearbook at $8.\na) write an expression that represents the profit, p, for the number of yearbooks sold, n.\nb) how many yearbooks need to be sold for the yearbook committee to break even?

14. the cost of publishing the school yearbook was $440. the yearbook committee priced the yearbook at $8.\na) write an expression that represents the profit, p, for the number of yearbooks sold, n.\nb) how many yearbooks need to be sold for the yearbook committee to break even?

Answer

Explanation:

Step1: Recall profit formula

Profit = Revenue - Cost. Revenue is price per unit times number of units sold. Here, price per year - book is $8 and number of year - books sold is $n$, so revenue $R = 8n$, and cost $C = 440$. So the profit expression is $p=8n - 440$.

Step2: Set profit to zero for break - even

To break even, profit $p = 0$. So we set up the equation $8n-440 = 0$.

Step3: Solve the equation for $n$

Add 440 to both sides of the equation: $8n=440$. Then divide both sides by 8: $n=\frac{440}{8}=55$.

Answer:

a) $p = 8n-440$ b) 55