Please Set up the following problem and Write the problem in matrix form:

4. Mixing NutsA candy store sells three different assortments of mixed nuts, each as- sortment containing varying amounts of almonds, pecans, cashews, and walnuts. To preserve the store's reputation for quality, certain maximum and minimum percentages of the various nuts are required for each type of assortment, as shown in the following table: Selling price per pound Nut assortment Requirements Regular $0.89 Not more than 20% cashews Not less than 40% walnuts Not more than 25% pecans No restriction on almonds Deluxe 1.10 Not more than 35% cashews Not less than 25% almonds No restriction on walnuts and pecans Blue Ribbon 1.80 Between 30% and 50% cashews Not less than 30% almonds No restriction on walnuts and pecans The following table gives the cost per pound and the maximum quantity of each type of nut available from the store's supplier each week. Cost per pound Maximum quantity available per week (lb) Nut type Almonds Pecans Cashews Walnuts $0.45 0.55 0.70 0.50 2000 4000 5000 3000 The store would like to determine the exact amounts of almonds, pecans, cashews, and walnuts that should go into each weekly assortment to maximize its weekly profit. Formulate a mathematical model that will assist the store management in solving the mixing problem. Hint: How many decisions need to be made? For example, do you need to distinguish between the cashews in the regular mix and the cashews in the deluxe mix? 4. Mixing NutsA candy store sells three different assortments of mixed nuts, each as- sortment containing varying amounts of almonds, pecans, cashews, and walnuts. To preserve the store's reputation for quality, certain maximum and minimum percentages of the various nuts are required for each type of assortment, as shown in the following table: Selling price per pound Nut assortment Requirements Regular $0.89 Not more than 20% cashews Not less than 40% walnuts Not more than 25% pecans No restriction on almonds Deluxe 1.10 Not more than 35% cashews Not less than 25% almonds No restriction on walnuts and pecans Blue Ribbon 1.80 Between 30% and 50% cashews Not less than 30% almonds No restriction on walnuts and pecans The following table gives the cost per pound and the maximum quantity of each type of nut available from the store's supplier each week. Cost per pound Maximum quantity available per week (lb) Nut type Almonds Pecans Cashews Walnuts $0.45 0.55 0.70 0.50 2000 4000 5000 3000 The store would like to determine the exact amounts of almonds, pecans, cashews, and walnuts that should go into each weekly assortment to maximize its weekly profit. Formulate a mathematical model that will assist the store management in solving the mixing problem. Hint: How many decisions need to be made? For example, do you need to distinguish between the cashews in the regular mix and the cashews in the deluxe mix