Question

A company’s total cost from manufacturing and selling x units of their product is given by: y = 2x^2 – 600x + 49,000. How many units should be manufactured in order to minimize cost, and what is the minimum cost?

Answer 1

Answer:

number of units for cost to be minimum=150

Step-by-step explanation:

y=2x^2-600 x+49000

dy/dx=4x-600

dy/dx=0 gives 4x-600=0

4x=600

x=150

d^2y/dx^2=4x

at x=150,d^2y/dx^2=4*150=600>0

so y is minimum at x=150