(a) Solve the following model graphically, using a 50 by 50 grid maximize 4x1 9x2 subject to (1) 15x1 3x2 450 (2) 40x1 10x2 400 (3) 10x1 8x2 420 (4) 4x1 20x2 588 x1 x2 0 (b) Perform a sensitivity analysis for each of the objective function coefficients (c) Perform a sensitivity analysis for the right hand side values for each of the nonbinding constraints (d) Perform a sensitivity analysis for the right hand side values for each of the two binding constraints (e) For each of the two binding constraints, find the change to each variable as function of the right hand side value, and from these relationships calculate the two shadow prices

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Question: (a) Solve the following model graphically, using a 50 by 50 grid maximize 4x1 + 9x2 subject to (1) 15x1 + 3x2 = < 450

(a) Solve the following model graphically, using a 50 by 50 grid

maximize 4x1 + 9x2 subject to (1) 15x1 + 3x2 =< 450 (2) 40x1 + 10x2 >= 400 (3) 10x1 + 8x2 =< 420 (4) 4x1 + 20x2 =< 588 x1 ; x2 >= 0

(b) Perform a sensitivity analysis for each of the objective function coefficients.

(d) Perform a sensitivity analysis for the right-hand-side values for each of the two binding constraints.

(e) For each of the two binding constraints, find the change to each variable as function of the right-hand side value, and from these relationships calculate the two shadow prices

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