Solve the following model graphically, using an 8 by 8 grid.

maximize 7x1 + 3x2

subject to

(1) 8x1 + 2x2 32

(2) x1 + 5x2 25

(3) 10x1 + 2x2 39

(4) 4x1 + 5x2 30

x1 , x2 0

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

(c) Perform a sensitivity analysis for the right-hand-side values for each of the non

binding 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.