a company has determined that a new product needs to have an average cost of production of $12.75 per unit…

a company has determined that a new product needs to have an average cost of production of $12.75 per unit. to find the average cost of production, divide the cost to produce a certain number of units, $x$, by the number of units. the supplier has a setup fee of $3,600 and a cost per unit of $9.84. complete the equation that can be used to find the number of units the company should order to achieve this average cost of production.

a company has determined that a new product needs to have an average cost of production of $12.75 per unit. to find the average cost of production, divide the cost to produce a certain number of units, $x$, by the number of units. the supplier has a setup fee of $3,600 and a cost per unit of $9.84. complete the equation that can be used to find the number of units the company should order to achieve this average cost of production.

Answer

Explanation:

Step1: Define the total - cost formula

The total cost $C$ to produce $x$ units is the sum of the setup - fee and the cost per unit times the number of units. The setup fee is $$3600$ and the cost per unit is $$9.84$, so $C = 3600+9.84x$.

Step2: Define the average - cost formula

The average cost $AC$ of production is the total cost divided by the number of units. We know that the average cost should be $$12.75$ per unit. So, $12.75=\frac{3600 + 9.84x}{x}$.

Answer:

$12.75=\frac{3600+9.84x}{x}$