Ye Olde Cording Winery in Peoria, Illinois, makes three kinds of authentic German wine:

Heidelberg Sweet, Heidelberg Regular, and Deutschland Extra Dry. The raw materials,

labor, and profit for a gallon of each of these wines are summarized here:

If the winery has $150$ bushels of grade A grapes, $150$ bushels of grade B grapes, $80$ pounds

of sugar, and $225$ labor$-$hours available during the next week, what product mix of wines

will maximize the company$$s profit?

a$.$ Solve using the simplex method.

b$.$ Interpret all slack variables.

c$.$ An increase in which resources could improve the company$$s profit?