Group case study BADM 311 Winter 2023. TJ's, Inc., makes three nut mixes for sale to grocery chains located in the Southeast. The three mixes, referred to as the Regular Mix, the Deluxe Mix, and the Holiday Mix, are made by mixing different percentages of ve types of nuts. In preparation for the fa11 season, TJ's purchased the following shipments of nuts at the prices shown: Type of Nut Shipment Amount (pounds) Cost per Shipment Almond 0000 $2500 Brazil 2500 $7125 Filbert "1500 $6750 Pecan 6000 $7200 Walnut 2500 $73-15 The Regular Mix consists of 15% almonds, 25% Brazil nuts, 25% lberts, 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% lberts, 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 prot contribution per pound is $1.65 for the Regular Mix, $2.00 for the Deluxe Mix, and $2.25 for the Holiday Mix. These gures do not include the cost of specic types of nuts in the different mixes because that cost can vary greatly in the commodity markets. Customer orders already received are summarized here: 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, T] 's expects to receive many more orders than can be satised. TJ's is committed to using the available nuts to maximize prot over the fall season; nuts not used will be given to the Free Store. Even if it is not protable to do so, T] 's president indicated that the orders already received must be satised. Perform an analysis of T] 's product mix problem, and prepare a report for TJ's president that summarizes your ndings. 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 prot contribution 3. Recommendations regarding how the total prot 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. Recommendations on how prot contribution could be increased (if at all) if TJ's does not satisfy all existing orders