The average cost per unit C(x), in dollars, to produce x units of toy cars is given by C(x)=(8000)/(x−50)C(x)=(8000)/(x−50). What is the approximate cost per unit when 1250 toy cars are produced?
+178 Intepretation: Approx for \(x\) in the function \(C(x)=\frac{8000}{x-50}\) when \(C(x)=1250\)
Solution:
Solve for \(x\) when \(\frac{8000}{x-50}=1250\)
Multiple both sides by a factor of \(x-50\):
\(1250(x-50)=8000\)
Expand:
\(1250x-62500=8000\)
Move the numerical term to the right:
\(1250x=70500\)
Divide both sides by the greatest common divisor of \(1250\) and \(70500\) (Which is equal to \(250\))
\(5x=282\)
Divide both sides by \(5\):
\(x =\frac{282}{5}\)
\(=56.4 \approx 56\)
Done :D
(You accidently posted the formula for \(C(x)\) in your question two times, be careful.)
