$4\mathrm{.}10-$ The Big M Method

Letting $x1=$ number of ounces of orange soda in a bollte of Orani $2$ number of ounces of orange juice in a bottle of Oranj The LP is:

minz$=2x_1+3x_2$

$st0\mathrm{.}5x_1+0\mathrm{.}25x_{2}4(suger$ constraint$)$

$x_1+3x_{2}20(VitaminC$ constraint$)$

$x_1+x_2=10(10ozin1$ bottle $of$ Orani$)$

$x_1,x_2>0$

The LP in standard form is shown on the next slide.

$52$

$Q=$