the naturally made bath and body store pays $550 a month for rent and utilities. the average cost for its…

the naturally made bath and body store pays $550 a month for rent and utilities. the average cost for its products to be manufactured is about $3.00 an item. if the average price for a product sold in the store is $5.50, what will the break - even point be? let x represent the number of products sold. the cost function that represents the situation is. the revenue function that represents the situation is.

the naturally made bath and body store pays $550 a month for rent and utilities. the average cost for its products to be manufactured is about $3.00 an item. if the average price for a product sold in the store is $5.50, what will the break - even point be? let x represent the number of products sold. the cost function that represents the situation is. the revenue function that represents the situation is.

Answer

Explanation:

Step1: Define cost function

The fixed - cost is $550 per month and the variable cost is $3 per item. So the cost function $C(x)$ is the sum of the fixed cost and the variable cost. The fixed cost does not depend on the number of items $x$, and the variable cost is $3x$. So $C(x)=550 + 3x$.

Step2: Define revenue function

The revenue is the money earned from selling the items. The selling price per item is $5.50. So the revenue function $R(x)$ is the product of the selling - price per item and the number of items sold. So $R(x)=5.5x$.

Answer:

The cost function: $C(x)=550 + 3x$ The revenue function: $R(x)=5.5x$