1.) Objective Function: Maximize Z = 60X₁ +50X₂ Subject to Assembly 4X₁ + 10X ₂ ≤ 100 hours Inspection 2X₁ + 1X₂ ≤ 22 hours Storage 3X ₁ + 3X₂ ≤ 39 cubic feet X₁, X₂ ≤ 0 Solve the following completely by graphical method: a) corner point method b) iso profit line
1.) Objective Function:
Maximize Z = 60X₁ +50X₂
Subject to
Assembly 4X₁ + 10X ₂ ≤ 100 hours
Inspection 2X₁ + 1X₂ ≤ 22 hours
Storage 3X ₁ + 3X₂ ≤ 39 cubic feet
X₁, X₂ ≤ 0
Solve the following completely by graphical method:
a) corner point method
b) iso profit line
2.) Suppose, 240 acres of land available.
Profit: $40/acres corn: $30/acre oats
Have 320 hours of labor available.
Corn takes 2 hours of labor per acre of land; however, Oats requires 1 hour of labor per acre of land.
Problem: How many acres of each should be planted to maximize profit?
a) Formulate the problem.
b) Solve the problem using graphical method (corner point solution) and Iso profit method.
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