MaxZ$=10x_1+20x_2+7x_3+30x_4+12x_5$

ST

$3x_1+4x_2+x_3+4x_4+4x_{5}3,200$ Labor

$20x_1+15x_2+8x_3+15x_4+10x_{5}12,000$ Raw Material #$1$

$10x_1+20x_2+5x_3+22x_4+8x_{5}12,000$ Raw Material #$2$

$2x_1+3x_2+6x_3+7x_4+2x_{5}3,000$ Painting

$x_{3}100$ Minimum Production of Product $3$

$x_{4}100$ Minimum Production of Product $4$

$x_{5}100$ Minimum Production of Product $5$

$z=$

$(2$ Decimal places$)$

$x_1=$

$x_2=$

$x_3=$

$x_4=$

$x_5=$

$1.$ Labor

$2.$ Raw Material #$1$

$3.$ Raw Material #$2$

$4.$ Painting

Which constraints has slack?

The objective function coefficient for $x_2$ can range between what

two numbers without changing the solution quantities?

min$=$

max$=$

$60$ More units of Raw Material #$2$ would increase $Z$ by$?$