A cranberry juice producer can source its cranberries from two plants: plant A and plant B. It costs the producer $6 to process every kilogram of cranberries from plant A, and costs $4 to process...

A cranberry juice producer can source its cranberries from two plants:

plant A and plant B. It costs the producer $6 to process every kilogram of cranberries from plant A, and costs $4 to process every kilogram of cranberries from plant B. The budget on total processing costs must be kept to less than $60 per day. In order to keep his plant running, the cranberry juice producer must process at least 12 kilograms of cranberries each day. Every kilogram of cranberries from plant A yield 10 bottles of juice, and every kilogram of cranberries from plant B yield 15 bottles of juice. The juice producer's objective is to maximize the total production of cranberry juice.formulate the problem as a linear programIs it feasible to process 4 kilograms of cranberries from plant A and 7 kilograms of cranberries from plant B every day? Is it feasible to process 4 kilograms of cranberries from plant A and 10 kilograms of cranberries from plant B every day Which of the 3 options below should the juice producer choose? Option 1: Process 0 kilograms of cranberries from plant A and 15 kilograms of cranberries from plant B every day. Option 2: Process 2 kilograms of cranberries from plant A and 14 kilograms of cranberries from plant B every day. Option 3: Process 4 kilograms of cranberries from plant A and 8 kilograms of cranberries from plant B every day. Suppose the juice producer recently signed a contract with cranberry supplier which requires that the amount of cranberries processed from plant A should be at least twice the amount of cranberries processed from plant B. What is the change to your LP formulation in question a) Suppose the maximized production of cranberry juice before signing the contract with supplier is Z*, could the new maximized production of cranberry juice after signing the contract be higher than Z* Ignore previous 2 questions (e and f) when answering this question. Suppose now that the juice producer changes the objective to maximize total sales revenue of cranberry juice. The price of juice made from cranberry from plant A is $3.5 /bottle, and the price of juice made from cranberry from plant B is $2.75 /bottle. What is the change to your LP formulation in a)?