Homework SourseSuppose that cx 6x336x216000x is the cost of manufacturing x
Suppose that c(x) =(6x^3)-(36x^2)+16000x is the cost of manufacturing x items. Find a production level that will minimize the avarage cost of making x items. What is the avarage cost of maing x items at this productin level?
Solution
divide by x to get average cost: 6*x^2-36*x+16000 take the derivative: 12*x-36 set equal to 0: 12*x-36=0 factor: x=3 minimizes average cost the average cost is 6*3^2-36*3+16000=15946
