Question

cost, revenue, profit
you decide to begin selling caramel apples at the local park and swap. your cost for each caramel apple is $1.26 plus you have to pay a fixed weekly fee of $170 for the booth. your plan is to sell each caramel apple for $3.18.

1. write an algebraic expression to represent your total costs for the week if you sell n caramel apples.

total costs:

1. write an algebraic expression to represent the revenue from the sale of n caramel apples during the week.

revenue:

1. write an algebraic expression that represents the profit for selling n caramel apples in a given week.

profit:

Explanation:

Step1: Calculate total cost expression

The cost per apple is $1.26 and there is a fixed - cost of $170. So the total cost $C$ for selling $n$ apples is the sum of the variable cost (cost per apple times number of apples) and the fixed cost. The variable cost for $n$ apples is $1.26n$ and the fixed cost is 170. So, $C = 1.26n+170$.

Step2: Calculate revenue expression

The selling price per apple is $3.18$. Revenue $R$ is the selling price per unit times the number of units sold. So for $n$ apples, $R = 3.18n$.

Step3: Calculate profit expression

Profit $P$ is revenue minus cost. Substitute the expressions for $R$ and $C$ into the profit formula $P=R - C$. So $P=3.18n-(1.26n + 170)=3.18n-1.26n-170 = 1.92n-170$.

Answer:

1. Total Costs: $1.26n + 170$
2. Revenue: $3.18n$
3. Profit: $1.92n-170$