Betty Malloy, owner of the Eagle Tavern in Pittsburgh, is preparing for Super Bo
ID: 3438365 • Letter: B
Question
Betty Malloy, owner of the Eagle Tavern in Pittsburgh, is preparing for Super Bowl Sunday, and she must determine how much beer to stock. Betty stocks three brands of beer- Yodel, Shotz, and Rainwater. The cost per gallon (to the tavern owner) of each brand is as follows:
Brand
Cost/Gallon
Yodel
$1.50
Shotz
0.90
Rainwater
0.50
Yodel
Shotz
Rainwater
Cost/Gallon
1.5
0.9
0.5
Selling price
3
2.5
1.75
profit
???
???
???
Capacity
1
1
1
????
=
1000
Demand for Yodel
1
0
0
????
<=
400
Demand for Shotz
0
1
0
???
<=
500
Demand for Rainwater
0
0
1
???
<=
300
# of Gallons
# of Gallons
# of Gallons
Yodel
Shotz
Rainwater
Decision Variables
???
???
???
Objective Function
???
Formulate a linear programming model for this problem. Then fill in the blank with ???
Thanks
Brand
Cost/Gallon
Yodel
$1.50
Shotz
0.90
Rainwater
0.50
Explanation / Answer
Yodel -> x, Profit = 1.5
Shotz -> y, Profit = 1.6
Rainwater -> z, Profit = 1.25
Objective Function
Z = 1.5x + 1.6y + 1.25z -> Maximize
Restrictions:
x + y + z = 1000
x <= 400
y <= 500
z <= 300
Solving the linear programming model:
# of gallons of Yodel = 400
# of gallons of Shotz = 500
# of gallons of Rainwater = 100
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