Sec 4.7 1. Consider the following problem. Maximize Z = x₁ + 2x₂, subject to x₁ + 3x₂ ≤ 8 (resource 1) x₁ + x₂ ≤4 (resource 2) x₁ ≥ 0, x₂ ≥ 0. and The optimal solution is (x₁, x₂) = (2,2) with Z* = 6. (a) Is any of these two constraints binding constraint? (b) Use graphical analysis to determine the shadow prices for the respective resources. (c) Determine how many additional units of resource 1 would be needed to increase the optimal value by 1.5.
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