They will offer two types: fruity mix, and a nutty mix. A bag of fruity mix uses 1/3 lbs of cashews and 3 lbs of rasins, while a bag of nutty mix uses 1 lb of cashews and 1 lb of raisins. The profit on a bag of nutty mix is $2.00 and the profit on a bag of fruity mix is $1.50. The company has 100 lbs of cashews and 300 lbs of raisins to use in making their trail mix. How many bags of each type of mix should be made to maximize profit? (a) Write down the system of constraints (implicit and explicit). Clearly label your variables somewhere.

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They will offer two types: fruity mix, and a nutty mix. A bag of fruity mix uses 1/3 lbs of cashews and 3 lbs of rasins, while a bag of nutty mix uses 1 lb of cashews and 1 lb of raisins. The profit on a bag of nutty mix is $2.00 and the profit on a bag of fruity mix is $1.50. The company has 100 lbs of cashews and 300 lbs of raisins to use in making their trail mix. How many bags of each type of mix should be made to maximize profit? (a) Write down the system of constraints (implicit and explicit). Clearly label your variables somewhere.

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(b) What is the objective function? Write ‘minimize’ or ‘maximize’ next to the objective function indicating the goal of optimization. (c) Graph the feasible region determined by the constraints. Clearly indicate which region is your solution
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