Pg. 59 9-10, 12

9.  Bloomington Brewery produced beer and ale. Beer sells for $5 per barrel, and ale sells for $2 per barrel. Producing a barrel of beer requires 5 pounds of corn and 2 pounds of hops. Producing a barrel of ale requires 2 pounds of corn and 1 pound of hops. The brewery has 60 pounds of corn and 25 pounds of hops.

Formulate a linear program to maximize the revenue.
Graphically solve the linear program to find the maximum revenue.

10. A gourmet cook bakes two types of cake, chocolate and vanilla, to supplement her income. Each chocolate cake can be sold for $12, and each vanilla cake can be sold for $9. Each chocolate cake requires 20 minutes of baking time ad uses 4 eggs. Each vanilla cake requires 40 minutes of baking time and uses 1 egg. The baker has 8 hours of baking time and 30 eggs.

Formulate a linear program to maximize the profit.
Graphically solve the linear program to find the maximum profit.

11. Woodco manufactures tables and chairs. Each table and chair must be made entirely out of oak or entirely out of pine. A total of 150 board feet of oak and 210 board feet of pine are available. A table requires either 17 board feet of oak or 30 board feet of pine. A chair requires either 5 board feet of oak or 13 board feet of pine. Each table sells for $40, and each chair for $15.

Formulate a linear program to maximize the revenue.
Graphically solve the linear program to find the maximum revenue.