Solution: Find the quantity for which the cost of the product is minimum

The cost of C of a product is a function of the quantity x of the product: C(x) = x^2 – 400x + 50. Find the quantity for which the cost is minimum.

Find the quantity for which the cost of the product is minimum

Problem Statement: ME Board April 1996

The cost of C of a product is a function of the quantity x of the product: C(x) = x^2 – 400x + 50. Find the quantity for which the cost is minimum.
  • A. 1000
  • B. 1500
  • C. 2000
  • D. 3000

Problem Answer:

The quantity for which the cost of the product is minimum is 2000

Solution:

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