Posted by **uma** on Wednesday, June 6, 2012 at 3:41am.

Mountain Laurel Vineyards produces three kinds of wine Mountain Blanc, Mountain Red, and Mountain Blush. The company has 17 tons of grapes available to produce wine this season . A cask of Blanc requires 0.21 tons of grapes, a cask of Red requires 0.24 tons, and a cask of Blush requires 0.18 tons. The vineyard has enough storage space in its aging room to store 80 casks of wine.

The vineyard has 2,500 hours of production capacity, and it requires 12 hours to produce a cask of Blanc, 14.5 hours to produce a cask of Red, and 16 hours to produce a cask of Blush. From past sales the vineyard knows that demand for the Blush will be no more than half of the sales of the other two wines combined. The profit for a cask of Blanc is $7,500, the profit for a cask of Red is $8,200, and the profit for a cask of Blush is $10,500.

Formulate a linear programming model for this problem.

49. Solve the linear programming model formulated in Problem 46 for Mountain Laurel Vineyards by using the computer.

a. If the vineyard were to determine that the profit from Red was $7,600 instead of $8,200, how would that affect the optimal solution?

b. If the vineyard could secure one additional unit of any of the resources used in the production of wine, which one should it select?

c. If the vineyard could obtain 0.5 more tons of grapes, 500 more hours of production capacity, or enough storage capacity to store 4 more casks of wine, which should it choose?

d. All three wines are produced in the optimal solution. How little would the profit for Blanc have to be for it to no longer be produced?

## Answer This Question

## Related Questions

- llinear programming - Mountain Laurel Vineyards produces three kinds of ...
- Math - a surveyor is 3 miles from a mountain. The angle of elevation from the ...
- Trigonometry - Height of a mountain While traveling across flat land, you notice...
- math - if someone could please help that would be muchly appreciated. A group of...
- math - angle of elevation of the top of a mountain to a man is 45degree.if we ...
- math - A plane flying a straight course observes a mountain at a bearing of 32.6...
- Trigonometry - Mountain Descent A road sign at the top of a mountain indicates ...
- Trigonometry - At a point on a level ground, the angle of elevationof a mountain...
- maths - one mountain is 5000 ft high and can be reached by cable car from ...
- Honors Pre-Calculus - You are traveling in a car toward a certain mountain at a ...

More Related Questions