the function $f(x)=\frac{600 + 2x}{x}$ yields the average cost in dollars for a company to produce $x$…

the function $f(x)=\frac{600 + 2x}{x}$ yields the average cost in dollars for a company to produce $x$ calendars. which statement best fits the situation modeled by the function?\nthe company spends $600 on a new computer and printer before beginning the project.\nthe company takes 600 photos before selecting which ones to use for its calendars.\nthe company expects to sell 600 calendars each month.\nthe company will sell the calendars for $2.00 each.

the function $f(x)=\frac{600 + 2x}{x}$ yields the average cost in dollars for a company to produce $x$ calendars. which statement best fits the situation modeled by the function?\nthe company spends $600 on a new computer and printer before beginning the project.\nthe company takes 600 photos before selecting which ones to use for its calendars.\nthe company expects to sell 600 calendars each month.\nthe company will sell the calendars for $2.00 each.

Answer

Explanation:

Step1: Analyze the cost - function structure

The average - cost function is $f(x)=\frac{600 + 2x}{x}=\frac{600}{x}+2$. In a cost - function of the form $\frac{C + vx}{x}$ (where $C$ is fixed cost and $vx$ is variable cost), the fixed cost is the cost that does not depend on the number of units produced ($x$), and the variable cost is the cost that depends on the number of units produced. Here, the fixed cost is $600$ and the variable cost per unit is $2$.

Step2: Evaluate each option

  • Option 1: If the company spends $600$ on a new computer and printer before beginning the project, this is a fixed cost. This is consistent with the $600$ in the numerator of the average - cost function as fixed cost.
  • Option 2: Taking 600 photos has no direct relation to the cost function structure.
  • Option 3: Expecting to sell 600 calendars each month is about sales volume, not related to the cost - function components.
  • Option 4: Selling calendars for $2$ each is about revenue, not cost.

Answer:

The company spends $600$ on a new computer and printer before beginning the project.