The Bahama Nut Company sells three different half-pound bags of peanut mixes: Party Nuts, Mixed, and Premium Mix. These generate per-bag revenue of $1.00, $2.10, and $3.63, respectively. The tables below show the makeup of each mix, the available ingredients for the next week, and the cost of each ingredient.

Develop a linear programming model to help Bahama determine how many bags of each type to produce to maximize contribution to profit. How many bags of each type should be produced and what is the maximal profit? Which constraints arebinding?

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Ingredients Peanuts 100% 55% Cashews Brazil Nuts 10% Cost per Hazelnuts Partv Nuts Mixed Premium Mix 10% 40% 25% Pounds Available Pound Peanuts Cashews Brazil nuts Hazelnuts $1.50 180 100 $7.50