Find maximum and minumum values of f(x, y, z) = 7x – 14y + 35z subject to the constraint x? + y? + 22 = 3000.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find maximum and minumum values of f(x, y, z) = 7x – 14y + 35z subject to the constraint æ? + y? + 22 = 3000.
-700 min , 700 max
O -1400 min , 2100 max
O -1400 min , 1400 max
O -1400 min ,700 max
O -2100 min , 1400 max
O -2100 min ,2100 max
O -700 min , 2100 max
Transcribed Image Text:Find maximum and minumum values of f(x, y, z) = 7x – 14y + 35z subject to the constraint æ? + y? + 22 = 3000. -700 min , 700 max O -1400 min , 2100 max O -1400 min , 1400 max O -1400 min ,700 max O -2100 min , 1400 max O -2100 min ,2100 max O -700 min , 2100 max
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