Manually please Solving a Minimization ProblemFind the minimum value ofw = 2x₁ + 10x₂ + 8x3subject to the constraintsx₁ + x₂ + x3 ≥6x₂ + 2x3 ≥8-x₁ + 2x₂ + 2x₂ ≥ 4ObjectiveConstral

Answered: Solving a Minimization Problem Find the…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 89RE

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Agriculture A fruit grower raises crops A and B. The yield is 300 bushels per acre for crop A and 500 bushels per acre for crop B. Research and available resources indicate the following constraints. • The fruit grower has 150 acres of land available. • It takes 1 day to trim the trees on an acre of crop A and 2 days to trim an acre of crop B, and there are 240 days per year available for trimming. • It takes 0.3 day to pick an acre of crop A and 0.1 day to pick an acre of crop B, and there are 30 days per year available for picking. What is the optimal acreage for each fruit? What is the optimal yield?
Feasible RegionAll parts of this problem refer to the following feasible region and objective function. {x0xyx+2y12x+y10 P=x+4y aGraph the feasible region. bOn your graph from part a, sketch the graphs of the linear equations obtained by setting P equal to 40, 36, 32, and 28. cIf you continue to decrease the value of P, at which vertex of the feasible region will these lines first touch the feasible region? dVerify that the maximum value of P on the feasible region occurs at the vertex you chose in part c.

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Solving a Minimization Problem Find the minimum value of w = 2x₁ + 10x₂ + 8x3 subject to the constraints ₁+₂+36 X₂ + 2x₂ ≥8 -x₁ + 2x₂ + 2x₂ ≥ 4 Objectiv Constral