Posted: July 22nd, 2021

Introduction to Optimization Modeling

Use Excel’s Solver to complete the problems.

Ch14. 28a

**28. **A farmer in Iowa owns 45 acres of land. He is going to plant each acre with wheat or corn. Each acre planted with wheat yields $200 profit, requires 3 workers, and requires 2 tons of fertilizer; each with corn yields $300 profit, requires 2 workers, and requires 4 tons of fertilizer. One hundred workers and 120 tons of fertilizer are available.

** a. **Use Solver to help the farmer maximize the profit from his land.

Ch14.34b

**34. **Bloomington Brewery 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. The brewery has 60 pounds of corn and 25 pounds of hops.

** a. **Use Solver to maximize Bloomington Brewery’s revenue.

** b. **Confirm graphically that the solution in part **a **maximizes Bloomington Brewery’s revenue.

Ch 14.38

**38. **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, and a chair requires either 5 board feet of oak or 13 board feet of pine. Each table can be sold for $40, and each chair for $15.

Determine how Woodco can maximize its revenue.

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