http://www.zweigmedia.com/RealWorld/simplex.html
you need to write your constraint equations.
12) 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 The tavern has a budget of $2,000 for beer for Super Bowl Sunday. Betty sells Yodel at a rate of $3.00 per gallon, Shotz at $2.50 per gallon, and Rainwater at $1.75 per gallon. Based on past football games, Betty has determined the maximum customer demand to be 400 gallons of Yodel, 500 gal- lons of Shotz, and 300 gallons of Rainwater. The tavern has the capacity to stock 1,000 gallons of beer; Betty wants to stock up completely. Betty wants to determine the number of gallons of each brand of beer to order so as to maximize profit.
a. Formulate a linear programming model for this problem.
X gallons of yodel
Y gallons of shotz
Z gallons of rainwater
Cost
Price
Yodel
$1.50
$3.00
Shotz
$.90
$2.50
Rainwater
$.50
$1.75
P=(3.00x+2.50y+1.75z)- (1.50z+.90y+.50z)
(Max)P=1.50x+1.60y+1.25z
P= income-cost
1 answer