21. The production manager for the Coory, soft drink company is considering the production of 2 kinds of soft drinks: regular (R) and diet (D). Two of the limited resources are production time (8 hours = 480 minutes per day) and syrup limited to 675 gallons per day. To produce a regular case requires 2 minutes and 5 gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink are $3.00 per case and profits for diet soft drink are $2.00 per case. What is the time constraint?

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21. The production manager for the Coory, soft drink company is considering the
production of 2 kinds of soft drinks: regular (R) and diet (D). Two of the limited
resources are production time (8 hours = 480 minutes per day) and syrup
limited to 675 gallons per day. To produce a regular case requires 2 minutes and
5 gallons of syrup, while a diet
case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink
are $3.00 per case and profits for diet soft drink are $2.00 per case.
What is the time
constraint?
What is the objective
function?
Transcribed Image Text:21. The production manager for the Coory, soft drink company is considering the production of 2 kinds of soft drinks: regular (R) and diet (D). Two of the limited resources are production time (8 hours = 480 minutes per day) and syrup limited to 675 gallons per day. To produce a regular case requires 2 minutes and 5 gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink are $3.00 per case and profits for diet soft drink are $2.00 per case. What is the time constraint? What is the objective function?
A horse and two llamas are discussing the key areas of their domain on a lazy
summer afternoon. The llamas favor the pond and shade and like to browse the fruit
trees and oaks on the property, making their way to the barn only when their owner
favors them with some oats. The horse prefers to graze the grass and hay for food and
drink from the pond but will race up to the barn when the owner is handing out oats up
there. Between the three of them. they have stepped off the distances between many
of these key points several times and believe that they have developed an accurate
map, shown below. This map shows the number of loads that can be hauled between
all connected points on the property. As incredible as it may seem, neither the horse
nor the llamas have had any training in management science, which is where you come
in.
5
Fruit
12
Pond
12
7.
Barn
10
Oak
10
Hay
9
6 8
5
Shade
7
Grass
Using the nodes of interest for the horse, Grass, Barn, Oak, Hay and Pond, what is
the maximal flow from the Grass to Pond?
5.
Transcribed Image Text:A horse and two llamas are discussing the key areas of their domain on a lazy summer afternoon. The llamas favor the pond and shade and like to browse the fruit trees and oaks on the property, making their way to the barn only when their owner favors them with some oats. The horse prefers to graze the grass and hay for food and drink from the pond but will race up to the barn when the owner is handing out oats up there. Between the three of them. they have stepped off the distances between many of these key points several times and believe that they have developed an accurate map, shown below. This map shows the number of loads that can be hauled between all connected points on the property. As incredible as it may seem, neither the horse nor the llamas have had any training in management science, which is where you come in. 5 Fruit 12 Pond 12 7. Barn 10 Oak 10 Hay 9 6 8 5 Shade 7 Grass Using the nodes of interest for the horse, Grass, Barn, Oak, Hay and Pond, what is the maximal flow from the Grass to Pond? 5.
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