Consider the following problem.

Maximize $Z=5x_1+4x_2,-x_3+3x_4,$

subject to

$3x_1+2x_2-3x_3+1x_{4}24($resource $1)$

$3x_1+3x_2+1x_3+3x_{4}36($resource $2)$

and

$x_{1}0,x_{2}0,x_{3}0,x_{4}0.$

Determine the shadow prices for the two resources and describe their significance.

Shadow price for resource $1=$

Shadow price for resource $2=$