Solve the problem.
-The formula $y = \frac { 23,000 + 250 x } { x }$ models the average cost per unit, $y$, for Electrostuff to manufacture $x$ units
of Electrogadget IV. How many units must the company produce to have an average cost per unit of $\$ 390$ ?
A) 164 units
B) 166 units
C) 179 units
D) 92 units

Question

Quizplus · Accepted Answer

To find the number of units $x$ that results in an average cost $y$ of \$390, substitute $y = 390$ into the formula and solve for $x$:  $$390 = \frac{23,000 + 250x}{x}$$  Multiply both sides by $x$:  $$390x = 23,000 + 250x$$  Rearrange to solve for $x$:  $$390x - 250x = 23,000$$  $$140x = 23,000$$  $$x = \frac{23,000}{140} = 164.2857$$  Rounding to the nearest whole number, the company must produce 164 units.

Solve the Problem y=23,000+250xxy = \frac { 23,000 + 250 x } { x }y=x23,000+250x​

Solve the Problem $y = \frac { 23,000 + 250 x } { x }$