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J&L Branstrator Inc grow grapes to sell to wine makers. They just purchased an 80-acre plot on which they intend to plant additional grape

 

J&L Branstrator Inc grow grapes to sell to wine makers. They just purchased an 80-acre plot on which they intend to plant additional grape vines. The land is suit- able for Lemberger or Blatina grape vines. On average, an acre of Lemberger vines will yield 120 kilograms of grapes and require 3 labor hours to harvest. An acre of Blatina vines will yield 200 kilograms of grapes with 4.5 labor hours to harvest. They can sell a kilogram of Lemberger grapes for $5.50. Blatina grapes bring $3.80 per kilogram to wine makers. They have 260 labor hours for harvest available. a. Formulate a linear program model to help J&L Branstrator Inc. know how many acres of Blatina and Lemberger grapes to plant to maximize their profit. (Define decision variables and write the objective function and constraints.) b. Solve graphically.

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