(Answered) : Lost Maples Winery makes three varieties of contemporary Texas Hill Country wines: Austin Formation (a fine red), Ste. Genevieve

Lost Maples Winery makes three varieties of contemporary Texas Hill Country wines: Austin Formation (a fine red), Ste. Genevieve (a table white), and Los Alamos (a hearty pink Zinfandel). The raw materials, labor, and contribution per case of each of these wines is summarized below.

Grapes Variety A bushels

Grapes Variety B bushels

Sugar pounds

Labor (man-hours)

Contrib. per case

Austin Formation

4

0

1

3

$24

Ste. Genevieve

0

4

0

1

$28

Los Alamos

2

2

2

2

$20

The winery has 2800 bushels of Variety A grapes, 2040 bushels of Variety B grapes, 800 pounds of sugar, and 1060 man-hours of labor available during the next week. The firm operates to achieve maximum contribution. Write the linear programming model and solve