Maximum and minimum values using Lagrange multipliers.Considering the function f(x,y,z) = x4+ y4 + z4 with the constraint x2 + y2 + z2 = 1Can we find the maximum and minimum values?

Given, the function2 f(x, y, z)=x4+y4+z4+z with the constraint…

Answered: aximum and minimum v

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 2SC

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Manufacturing Calculators A manufacturer of calculators produces two models; standard and scientific. Long-term demand for the two models mandates that the company manufacture at least 100 standard and 80 scientific calculators each day. However, because of limitations on production capacity, no more than 200 standard and 170 scientific calculators can be made daily. To satisfy a shipping contract, A total of at least 200 calculators must be shipped every day. (a) If the production cost is $5 for a standard calculator and $7 for a scientific one, how many of each model should be produced daily to minimize this cost? (b) Id each standard calculator results in a $2 loss but each but each scientific one produces a $5 profit, how many of each model should daily to maximize profit?
Manufacturing Calculators A manufacturer of calculators produces two models: standard and scientific. Long-term demand for the two models mandates that the company manufacture at least 100 standard and 80 scientific calculators each day. However, because of limitations on production capacity, no more than 200 standard and 170 scientific calculators can be made daily. To satisfy a shopping contract, a total of at least 200 calculators must be shipped very day. aIf the production cost is 5 for a standard calculator and 7 for a scientific one, how many of each model should be produced daily to minimize this cost. bIf each standard calculator results in a 2 loss but each scientific one produces a 5 profit, how many of each model should be made easily to maximize profit.

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