Consider a variation on the Hay Farm problem where Cassidy grows Alfalfa and Orchard grass. Cassidy...

 

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Consider a variation on the Hay Farm problem where Cassidy grows Alfalfa and Orchard grass. Cassidy can rent the cutter for up to 21 hours, the rake for up to r hours, and the baler for up to 16 hours. Each acre of Alfalfa hay brings in $150 profit, and each acre of Orchard grass hay brings in d dollars of profit. The exact values of r and d will be given below. Hours per acre for each task are shown below. hours/acre Alfalfa Orchard grass Cutting Raking Baling 1 0.5 4 4 0.5 1 Cassidy would like to maximize profit. Find the solution, and answer these and the following questions. (Note: r = total capacity of raking hours and d = per-acre profit of Orchard grass) Suppose r=1.3 and d=153. How many acres of Alfalfa should Cassidy plant? Consider a variation on the Hay Farm problem where Cassidy grows Alfalfa and Orchard grass. Cassidy can rent the cutter for up to 21 hours, the rake for up to r hours, and the baler for up to 16 hours. Each acre of Alfalfa hay brings in $150 profit, and each acre of Orchard grass hay brings in d dollars of profit. The exact values of r and d will be given below. Hours per acre for each task are shown below. hours/acre Alfalfa Orchard grass Cutting Raking Baling 1 0.5 4 4 0.5 1 Cassidy would like to maximize profit. Find the solution, and answer these and the following questions. (Note: r = total capacity of raking hours and d = per-acre profit of Orchard grass) Suppose r=1.3 and d=153. How many acres of Alfalfa should Cassidy plant?

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ANSWER To solve this problem we can use linear programming to find the optimal solution that maximiz... View the full answer