SOLUTION: Sweet Harmony Crafts has determined that when x hundred dulcimers are built, the average cost per dulcimer can be estimated by c(x) = x2 -7x+24.25, where C(x) is in hundreds of dol

Algebra ->  Equations -> SOLUTION: Sweet Harmony Crafts has determined that when x hundred dulcimers are built, the average cost per dulcimer can be estimated by c(x) = x2 -7x+24.25, where C(x) is in hundreds of dol      Log On


   

Question 1116693: Sweet Harmony Crafts has determined that when x hundred dulcimers are built, the average cost per dulcimer can be estimated by c(x) = x2 -7x+24.25, where C(x) is in hundreds of dollars. What is the minimum average cost per dulcimer and how many dulcimers should be built in order to achieve that minimum?
Please, I need help with this show work entirely.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-7x%2B24.25
%28d%2Fdx%29=2x-7

Minimum at x=7%2F2, 350 dollars per dulcimer

c%283.5%29=3.5%5E2-7%2A3.5%2B24.25
compute that.