a start - up wants to make a product at an average cost of $2.75 apiece. you can find the average cost of…

a start - up wants to make a product at an average cost of $2.75 apiece. you can find the average cost of production by dividing the cost to produce a certain number of units, x, by the number of units. the cost of production includes a setup fee of $1,200 and a cost per unit of $1.85. which equation can find the number of units that fit into the start - ups budget? 2.75 = \\frac{x}{1,200 + 1.85x}; 1.85 = \\frac{1,200 + 2.75x}{x}; 2.75 = \\frac{1,200 + 1.85x}{x}; 1.85 = \\frac{x}{1,200 + 2.75x}

a start - up wants to make a product at an average cost of $2.75 apiece. you can find the average cost of production by dividing the cost to produce a certain number of units, x, by the number of units. the cost of production includes a setup fee of $1,200 and a cost per unit of $1.85. which equation can find the number of units that fit into the start - ups budget? 2.75 = \\frac{x}{1,200 + 1.85x}; 1.85 = \\frac{1,200 + 2.75x}{x}; 2.75 = \\frac{1,200 + 1.85x}{x}; 1.85 = \\frac{x}{1,200 + 2.75x}

Answer

Explanation:

Step1: Define total cost

The total cost of production is the sum of the setup - fee and the cost per unit times the number of units. The setup - fee is $1200$ and the cost per unit is $1.85$, so the total cost $C = 1200+1.85x$, where $x$ is the number of units.

Step2: Define average cost

The average cost per unit is found by dividing the total cost by the number of units. We know the average cost per unit is $2.75$. So, the average cost formula is $\text{Average Cost}=\frac{C}{x}$. Substituting $C = 1200 + 1.85x$ into the average - cost formula, we get $2.75=\frac{1200 + 1.85x}{x}$.

Answer:

$2.75=\frac{1200 + 1.85x}{x}$