Use a graphing calculator or other technology to solve the following linear programming problem. Maximize z=37x₁ +34x2 +36x3 + 30×4 + 35x5 subject to: 16x₁ +19x2 +23x3 + 15×4 +21x5 ≤44,000 15x+10x2+19x3 +23x4 +10x5 ≤28,000 with 9x1 +16x2 +14x3 + 12x4 +11x5 ≤ 33,000 18x1 +20x2 + 15×3 +17x4 +19x5 ≤37,000 X20, 220, 30, 40, x5 20 The maximum is when x₁ = ☐, x2 = . x3 = ×4 = 0, x5 = , S₁ = 0, $2 = ☐, S3 = ☐, and S4 (Round to the nearest hundredth as needed.)
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- Solve the following Linear Programming model using the graphical method (USING EXCEL){Write the steps of construction} Q1)MaximizeH = x + 3y Objective functionsubject tox + y ≤ 502x + y ≤ 60 x ≥ 0, y ≥ 0Compare interior-point algorithms with the simplex method?Scenario You are going to plant a rectangular flower bed consisting of tulips in the middle surrounded by daisies on the outside. You have the same amount of each flower and will need an equal area for each. You want the border of daisies to be uniform around the tulips in the middle, as shown in the diagram below:
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