Problem 9. Using the network diagram below, determine the early start, early finish, late start, late finish, and slack, for each activity and identify the critical path for the network.

Problem 10. Solve the following linear program graphically:

Max z = 5 * X + 12 * Y

subject to: X + 2 * Y = 60 X - 2 * Y >= 0 X, Y >= 0

Problem 11. Formulate and solve the following linear program. Screen shots of the setup are fine but you must have a clearly defined objective, constraints, parameters, and decision variables.

Bison Breweries produces 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. Sixty pounds of corn and twenty five pounds of hops are available.

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