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The Ottery Creek Winery produces three kinds of table wine - a blush, a white, and a red. The winery has 30,000 pounds of grapes available to produce wine this season. A cask of blush requires 360 pounds of grapes, a cask of white requires 375 pounds, and a cask of red requires 410 pounds. The winery has enough storage space in its aging room to store 67 casks of wine. The winery has 2.200 hours of production capacity, and it requires 14 hours to produce a cask of blush, 10 hours for white, and 18 hours for red. From records of previous years' sales, the winery knows it will sell at least twice as much blush as red and at least 1.5 times as much white as blush. The profit for a cask of blush is $12,100, the profit for white is $8,700, and the profit for a cask of red is $10,500. The winery wants to know the number of casks of each type of wine to produce to maximize profit. (Assume that in the production of wine, only whole casks can be produced). What is the maximum profit the Ottery Creek Wincry can obtain? 1,420,000 O 677500 922,220 590,750

The Ottery Creek Winery produces three kinds of table wine - a blush, a white, and a red. The winery has 30,000 pounds of grapes available to produce wine this season. A cask of blush requires 360 pounds of grapes, a cask of white requires 375 pounds, and a cask of red requires 410 pounds. The winery has enough storage space in its aging room to store 67 casks of wine. The winery has 2.200 hours of production capacity, and it requires 14 hours to produce a cask of blush, 10 hours for white, and 18 hours for red. From records of previous years' sales, the winery knows it will sell at least twice as much blush as red and at least 1.5 times as much white as blush. The profit for a cask of blush is $12,100, the profit for white is $8,700, and the profit for a cask of red is $10,500. The winery wants to know the number of casks of each type of wine to produce to maximize profit. (Assume that in the production of wine, only whole casks can be produced). What is the maximum profit the Ottery Creek Wincry can obtain? 1,420,000 O 677500 922,220 590,750

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 93P
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The Ottery Creek Winery produces three kinds of table wine - a blush, a white, and a red. The winery has 30,000 pounds of grapes available to produce wine this season. A cask of blush requires 360 pounds of grapes, a cask of white requires 375 pounds, and a cask of red requires 410 pounds. The winery has enough storage space in its aging room to store 67 casks of wine. The winery has 2,200 hours of production capacity, and it requires 14 hours to produce a cask of blush, 10 hours for white, and 18 hours for red. From records of previous years' sales, the winery knows it will sell at least twice as much blush as red and at least 1.5 times as much white as blush. The profit for a cask of blush is $12.100, the profit for white is $8,700, and the profit for a cask of red is $10,500. The winery wants to know the number of casks of each type of wine to produce to maximize profit. (Assume that in the production of wine, only whole casks can be produced). What is the maximum profit the Ottery Creek Winery can obtain? O 1,420,000 O 677500 O 922,220 O 590,750
Transcribed Image Text:The Ottery Creek Winery produces three kinds of table wine - a blush, a white, and a red. The winery has 30,000 pounds of grapes available to produce wine this season. A cask of blush requires 360 pounds of grapes, a cask of white requires 375 pounds, and a cask of red requires 410 pounds. The winery has enough storage space in its aging room to store 67 casks of wine. The winery has 2,200 hours of production capacity, and it requires 14 hours to produce a cask of blush, 10 hours for white, and 18 hours for red. From records of previous years' sales, the winery knows it will sell at least twice as much blush as red and at least 1.5 times as much white as blush. The profit for a cask of blush is $12.100, the profit for white is $8,700, and the profit for a cask of red is $10,500. The winery wants to know the number of casks of each type of wine to produce to maximize profit. (Assume that in the production of wine, only whole casks can be produced). What is the maximum profit the Ottery Creek Winery can obtain? O 1,420,000 O 677500 O 922,220 O 590,750
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