You are given a linear programming problem. Maximize P = 4x + 3y subject to 5x + 3y ≤ 30 2x + 3y ≤ 21 X S 4 ΥΣ 0 X2 0 (a) Use the method of corners to solve the problem. at (x, y) = ( The maximum is P = Resource 1 Resource 2 Resource 3 (b) Suppose P = cx + 3y. Find the range of values that the coefficient c of x can assume without changing the optimal so ≤CM (c) Find the range of values that Resource 1 can assume. < (Resource 1) ≤ (d) Find the shadow price for Resource 1. (e) Identify the binding and nonbinding constraints. constraint 1 binding constraint 2 binding constraint 3 nonbinding ✪

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