1.At a firm, you have discovered you have 850 hours of labor available under the new contract.You make cakes and pies.It take 1.5 hours to make a cake, It takes 2 hours to make a pie.It take 1.5 cups of sugar to make a cake, It takes 2.25 cups of sugar to make a pie.You have 125 cups of sugar in stock.The profit for a cake is $7.00 and the profit for the pie is $10.00.How many cakes and how many pies should you bake to obtain the largest possible profit.Use the graphical LP approach

X1 = number of cakes

X2 = number of pies

Linear Program: (4 POINTS)

Max Profit = ____________________

Subject to:

Constraint

Constraint

Constraint

(4 graph points - 2 POINTS)

Points X1=0X2 =

Points X1=X2=0

Points X1=0X2 =

Points X1=X2=0

Graph (2 POINTS)

Optimal (3 POINTS)