What is the Minimum Average Cost

Algebra
Tutor: None Selected Time limit: 1 Day

I need to find the number of lawn mowers to minimize average cost and also the average cost itself, The formula is .1x^2+22x-244+(2500/x)

Oct 24th, 2015

Thank you for the opportunity to help you with your question!

take derivative of .1x^2+22x-244+(2500/x) and let it = 0 

0.2 x+22 -2500/x^2 = 0 

0.2x^3+22x-2500 = 0 

x = 21.63 ~ 22

the average cost is 

0.1*22^2+22*22-244+2500/22 

= 402.04

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 24th, 2015

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