What is the optimum value of x?

Question

There is a title search company. On average each search lasts 65 minutes. The cost per search is $210. Total cost per search = $210+0.75x^2-9x x= reduction of searchtime The company charges $600 per search.  What is the optimum value of x?

Answer 1

Becky: Find the roots of the quadratic 0.75x^2 -9x - 390 = 0 x = {9 + or - sqrt[81 + 4(0.75)(390)]} /2( 0.75). Choose the positive root. Dr. G.