Solve the problem.
-The average cost per unit, $\mathrm { y }$, of producing $x$ units of a product is modeled by $y = \frac { 450,000 + 0.55 x } { x }$. Describe the company's production level so that the average cost of producing each unit does not exceed $\$ 5.05$.
A) At least 100,000 units
B) Not more than 100,000 units
C) At least 200,000 units
D) Not more than 200,000 units

Question

Quizplus · Accepted Answer

To ensure the average cost per unit does not exceed $5.05, set the equation $y = \frac{450,000 + 0.55x}{x} \leq 5.05$ and solve for $x$. Simplifying, $450,000 + 0.55x \leq 5.05x$, leads to $450,000 \leq 4.5x$, and further to $x \geq 100,000$. Thus, the production level must be at least 100,000 units.

Solve the Problem y\mathrm { y }y , of Producing xxx Units of a Product Is Modeled By

Solve the Problem $\mathrm { y }$ , of Producing $x$ Units of a Product Is Modeled By