3. A firm has three factories each producing the same item. Let x, y, and z denote the respective output quantities that the three factories produce in order to fulfil an order for 2000 units in total. The cost functions for the three factories are (x)=200+ 100 a) Find the values of x, y, and z that minimize C. b) Verify that the solutions yield minimum costs. c) What is the minimum cost? 1 -x² C₂(x) = 200+y+1² C3(x) = 200+10z
3. A firm has three factories each producing the same item. Let x, y, and z denote the respective output quantities that the three factories produce in order to fulfil an order for 2000 units in total. The cost functions for the three factories are (x)=200+ 100 a) Find the values of x, y, and z that minimize C. b) Verify that the solutions yield minimum costs. c) What is the minimum cost? 1 -x² C₂(x) = 200+y+1² C3(x) = 200+10z
Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter12: The Cost Of Production
Section12.4: Costs In The Short Run And In The Long Run
Problem 4QQ
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