Question 19.A Choose from the multiple choice. Any shown work is much appreciated.

9 The Bradley family owns 410 acres of farmland in North Carolina on which they grow corn and tobacco. Each acre of corn costs $105 to plant, cultivate, and harvest; each acre of tobacco costs $210. The Bradleys have a budget of $52,500 for next year. The government limits the number of acres of tobacco that can be planted to 100. The profit from each acre of corn is $300; the profit from each acre of tobacco is $520. Solve the linear programming model formulated in problem 17 for the Bradley farm using the computer. a. The Bradleys have an opportunity to lease some extra land from a neighbor. The neighbor is offering the land to them for $110 per acre. Should the Bradleys lease the land at that price? What is the maximum price the Bradleys should pay their neighbor for the land, and how much should they lease at that price? Ch3, problem 19, part a: Select the best answer to the question that is presented in the text. No, the shadow price for land is $70 per acre indicating that profit will increase by no more than $70 for each additional acre obtained. The maximum price the Bradley's should pay is $70 and the most they should obtain is at the upper limit of the sensitivity range for land. This limit is 400 acres, or 100 additional acres. Beyond 100 additional acres the shadow price would change. No, the shadow price for land is $80 per acre indicating that profit will increase by no more than $80 for each additional acre obtained. The maximum price the Bradley's should pay is $80 and the most they should obtain is at the upper limit of the sensitivity range for land. This limit is 500 acres, or 90 additional acres. Beyond 90 additional acres the shadow price would change. No, the shadow price for land is $90 per acre indicating that profit will increase by no more than 590 for each additional acre obtained. The maximum price the Bradley's should pay is $90 and the most they should obtain is at the upper limit of the sensitivity range for land. This limit is 600 acres, or 80 additional acres. Beyond 80 additional acres the shadow price would change. No, the shadow price for land is $100 per acre indicating that profit will increase by no more than $100 for each additional acre obtained. The maximum price the Bradley's should pay is $100 and the most they should obtain is at the upper limit of the sensitivity range for land. This limit is 700 acres, or 70 additional acres. Beyond 70 additional acres the shadow price would change LP model formulation Let: x1=acres of corn to plant x2=acres of tobacco to plant Maximize: z=300x1+520x2 st Cconstraints: x1+x2=0