If we let x1-blush, x2=white, and x3=red; the correct way to write standard form of the constraint to represent "at least 1.5 times as much white as blush" is: X2-1.5X1 >= 0 X3-X1 >= 1.5 O 1.5X2-X1 <= o O X2-X1 <= 1.5

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter5: Linear Inequalities
Section5.6: Graphing Ineualities In Two Variables
Problem 29PPS
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The Ottery Creck 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 enaugh 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 whale casks can be produced).
If we let x1-blush, x2=white, and x3=red; the correct way to write standard form of the constraint
to represent "at least 1.5 times as much white as blush" is:
O X2-1.5X1 >= 0
X3-X1 >= 1.5
O 1.5X2-X1 <= 0
O X2-X1 <= 1.5
Transcribed Image Text:The Ottery Creck 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 enaugh 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 whale casks can be produced). If we let x1-blush, x2=white, and x3=red; the correct way to write standard form of the constraint to represent "at least 1.5 times as much white as blush" is: O X2-1.5X1 >= 0 X3-X1 >= 1.5 O 1.5X2-X1 <= 0 O X2-X1 <= 1.5
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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