Question

Consider the following linear programming problem with two decision variables $x_1$ and $x_2$. There are three constraints involving resources $R_1, R_2$ and $R_3$ as indicated.
Maximize $Z = 6x_1+5x_2$
Subject to
$2x_1+5x_2\leq 40$ $R_1$
$2x_1 + x_2 \leq 22$ $R_2$
$x_1 + x_2 \leq 13$ $R_3$
$X_1 \geq0, \ X_2 \geq 0$
The optimal solution of the problem is: $x_1 =9$ and $x_2=4$
For which one of the following options, the shadow price of the resource(s) will have non-zero value(s)?

• A. R1, R2 and R3
• B. R1 and R2
• C. R2 and R3
• D. R1 only

Answer 1

Answer: (C)

R2 and R3

Answer 2

The correct option is (C): R2 and R3.