DETAILS ASWMSCI15 17.E.014. MY NOTES ASK YOUR TEACHER 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: Grade A Grapes (bushels) Grade B Grapes Wine (bushels) Sugar (pounds) Labor (hours) Profit/Gallon Heidelberg Sweet 1 1 2 2 $1.00 Heidelberg Regular 2 0 1 3 $1.20 Deutschland Extra Dry 0 2 0 1 $2.00 If the winery has 165 bushels of grade A grapes, 160 bushels of grade B grapes, 80 pounds of sugar, and 245 labor-hours available during the next week, what product mix of wines will maximize the company's profit? (Let x₁ = gallons of Heidelberg Sweet produced, X₂ = gallons of Heidelberg Regular produced, and x3 = gallons of Deutschland Extra Dry produced.)
