Betty Malloy owner of the Eagle Tavern in Pittsburgh is prep

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

Solution

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