Solve the problem.
-The formula $\mathrm { y } = \frac { 25,000 + 270 \mathrm { x } } { \mathrm { x } }$ models the average cost per unit, $\mathrm { y }$, for Electrostuff to manufacture $\mathrm { x }$ units of Electrogadget IV. How many units must the company produce to have an average cost per unit of $\$ 380$ ?
A) 245 units
B) 227 units
C) 230 units
D) 93 units

Question

Quizplus · Accepted Answer

To find the number of units ($x$) that result in an average cost per unit ($y$) of $380, substitute $380 for $y$ in the given formula and solve for $x$: $380 = \frac{25,000 + 270x}{x}$. Multiplying both sides by $x$ gives $380x = 25,000 + 270x$, which simplifies to $110x = 25,000$. Solving for $x$ gives $x = \frac{25,000}{110} = 227$.

Solve the Problem y=25,000+270xx\mathrm { y } = \frac { 25,000 + 270 \mathrm { x } } { \mathrm { x } }y=x25,000+270x​

Solve the Problem $\mathrm { y } = \frac { 25,000 + 270 \mathrm { x } } { \mathrm { x } }$