Chateau Morrisette Winery in Floyd County, Virginia (www.chateaumorrisette.come)
ID: 2948779 • Letter: C
Question
Chateau Morrisette Winery in Floyd County, Virginia (www.chateaumorrisette.come) produces three kinds of wine-Black Dog Blanc, Hokie Bird White, and Sweet Mountain Laurel. The winery has 1700 liters of grapes available to produce wine this season. A cask of Blanc requires 21 liters of grapes, a cask of White requires 24 liters of grapes, and a cask of Laurel requires 18 liters of grapes The winery has enough storage space in its aging room to store 80 casks of wine The winery has 2500 hours of production capacity and it requires 12 hours to produce a cask of Blanc, 14 hours to produce a cask of White, and 15 hours to produce a cask of Laurel. The profit for a cask of Blanc is $7500, the profit for a cask of White is $8200, and the profit for a cask of Laurel is $9800 casks of Laurel produced. Let x1 casks of Blanc produced, x2 casks of White produced, and x3 The objective function for this LP model is best represented by: O MIN Z-12 x1+ 14x2 15x MAX Z-21 x + 24x2+18 x O MAX Z -x1+ x2+ X3 O MAX - $7500 x+$8200 x + $9800 xExplanation / Answer
Ans:
1)Objective function:
Max z=7500x1+8200x2+9800x3
2)Constraint for storage space:
x1+x2+x3<=80
3)Constraint for liters for Grapes:
21x1+24x2+18x3<=1700