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# TjJ's Inc., makes three nut mixes for sale to grocery chains located in the Southeast. The 3 mixes, referred to as the Regular Mix, the Deluxe Mix,...

Please answer everything and follow the criteria at the end. I am finding that the tutors on here are only answering half correctly. I will tip and rate at the end if everything is correct. Thank You.
TjJ’s Inc., makes three nut mixes for sale to grocery chains located in the Southeast. The 3 mixes, referred to as the Regular Mix, the Deluxe Mix, and the Holiday Mix, are made by mixing different percentages of five types of nuts. In preparation for the fall season, TJ’s purchased the following shipments of nuts at the prices shown: Type of Nut Shipment Amount (pounds) Cost per Shipment Almond 6000 \$7500 Brazil 7500 \$7125 Filbert 7500 \$6750 Pecan 6000 \$7200 Walnut 7500 \$7875 The Regular Mix consists of 15% almonds, 25% Brazil nuts, 25% filberts, 10% pecans, and 25% walnuts. The Deluxe Mix consists of 20% of each type of nut, and the Holiday Mix consists of 25% almonds, 15% Brazil nuts, 15% filberts, 25% pecans, and 20% walnuts. TJ’s accountant analyzed the cost of packaging materials, sales price per pound, and so forth, and determined that the profit contribution per pound is \$1.65 for the Regular Mix. \$2.00 for the Deluxe Mix, and \$2.25 for the Holiday Mix. These figures do not include the cost of specific types of nuts in the different mixes because that cost can vary greatly in the commodity markets. Customer orders already received are summarized here: Type of Mix Orders (pounds) Regular 10,000 Deluxe 3,000 Holiday 5,000 Because demand is running high, TJ’s expects to receive many more orders than can be satisfied. TJ’s is committed to using the available nuts to maximize profit over the fall season; nuts not used will be given to the Free Store. Even if it is not profitable to do so, TJ’s president indicated that the orders already received must be satisfied. Perform an analysis of TJ’s product mix problem, and prepare a report for TJ’s president that summarizes your findings. Be sure to include information and analysis on the following: 1. The cost per pound of the nuts included in the Regular, Deluxe, and Holiday mixes. 2. The optimal product mix and the total profit contribution. 3. Recommendations regarding how the total profit contribution can be increased if additional quantities of nuts can be purchased. 4. A recommendation as to whether TJ’s should purchase an additional 1000 pounds of almonds for \$1000 from a supplier who overbought. 5. Recommendation on how profit contribution could be increased (if at all) if TJ’s does not satisfy all existing orders. This is the criteria is looking for: Criteria 1. Correctly identify the formulas for this model.
Criteria 2. Correctly compute the cost per pound in each of the three mixes. 3. Correctly identify and set up constraints, variables, etc. for linear programming model for optimal product mix. 4. Correctly compute total profit contributions. 5. Correctly identify change in total profit contributions requested in question 3. 6. Correctly answer question 3, show calculations. 7. Quantitative answer. 8. Summarize answer to question 4. 9. Summarize answer to question 5. 10. Evaluation of the situation, and recommendations to the company.

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