Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint z? + y? + z² = 1920. -1920 min , 1920 max -1920 min , 1280 max -1280 min, 1920 max -640 min , 640 max O -1280 min , 640 max O - 1280 min, 1280 max -640 min , 3200 max -640 min, 1920 max

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.4: Linear Programming
Problem 5E
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sir can you solve the problem with explanation, I am beginner

Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint z? + y? + z² = 1920.
-1920 min , 1920 max
-1920 min , 1280 max
-1280 min, 1920 max
-640 min , 640 max
O -1280 min , 640 max
O - 1280 min, 1280 max
-640 min , 3200 max
-640 min, 1920 max
Transcribed Image Text:Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint z? + y? + z² = 1920. -1920 min , 1920 max -1920 min , 1280 max -1280 min, 1920 max -640 min , 640 max O -1280 min , 640 max O - 1280 min, 1280 max -640 min , 3200 max -640 min, 1920 max
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