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TJ, 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 five types of nuts. In preparation for the fall season, TJ, Inc. just purchased the following shipments of nuts at the prices shown: Type of Nut Shipment Amount (pounds) Cost per Shipment ($) Almond 6,200 7,500 7,225 6,750 7,300 Brazil Filbert Pecan Walnut 7,600 7,600 Holiday 6,000 7,400 7,875 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. An accountant at TJ, Inc. analyzed the cost of packaging materials, sales price per pound, and so forth, and determined that the profit contribution per pound is $1.60 for the Regular Mix, $2.05 for the Deluxe Mix, and $2.20 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 5,000

TJ, 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 five types of nuts. In preparation for the fall season, TJ, Inc. just purchased the following shipments of nuts at the prices shown: Type of Nut Shipment Amount (pounds) Cost per Shipment ($) Almond 6,200 7,500 7,225 6,750 7,300 Brazil Filbert Pecan Walnut 7,600 7,600 Holiday 6,000 7,400 7,875 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. An accountant at TJ, Inc. analyzed the cost of packaging materials, sales price per pound, and so forth, and determined that the profit contribution per pound is $1.60 for the Regular Mix, $2.05 for the Deluxe Mix, and $2.20 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 5,000

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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. An accountant at TJ, Inc. analyzed the cost of packaging materials, sales price per pound, and so forth, and determined that the profit contribution per pound is $1.60 for the Regular Mix, $2.05 for the Deluxe Mix, and $2.20 for th 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 3,000 $ Deluxe Because demand is running high, it is expected that TJ, Inc. will receive many more orders than can be satisfied. TJ, Inc. is committed to using the available nuts to maximize profit over the fall season; nuts not used will be given to a local charity. Even if it is not profitable to do so, TJ, Inc.'s president indicated that the orders already receive must be satisfied. Holiday Managerial Report Perform an analysis of the TJ, Inc.'s product-mix problem, and prepare a report for the president of TJ, Inc. that summarizes your findings. $ 5,000 Determine the cost per pound of the nuts included in the Regular mix (in dollars). (Round your answer to two decimal places.) Xper pound $ Cost Per Pound of the Nuts Included Determine the cost per pound of the nuts included in the Deluxe mix (in dollars). (Round your answer to two decimal places.) per pound Determine the cost per pound of the nuts included in the Holiday mix (in dollars). (Round your answer to two decimal places.) per pound
Transcribed Image Text: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. An accountant at TJ, Inc. analyzed the cost of packaging materials, sales price per pound, and so forth, and determined that the profit contribution per pound is $1.60 for the Regular Mix, $2.05 for the Deluxe Mix, and $2.20 for th 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 3,000 $ Deluxe Because demand is running high, it is expected that TJ, Inc. will receive many more orders than can be satisfied. TJ, Inc. is committed to using the available nuts to maximize profit over the fall season; nuts not used will be given to a local charity. Even if it is not profitable to do so, TJ, Inc.'s president indicated that the orders already receive must be satisfied. Holiday Managerial Report Perform an analysis of the TJ, Inc.'s product-mix problem, and prepare a report for the president of TJ, Inc. that summarizes your findings. $ 5,000 Determine the cost per pound of the nuts included in the Regular mix (in dollars). (Round your answer to two decimal places.) Xper pound $ Cost Per Pound of the Nuts Included Determine the cost per pound of the nuts included in the Deluxe mix (in dollars). (Round your answer to two decimal places.) per pound Determine the cost per pound of the nuts included in the Holiday mix (in dollars). (Round your answer to two decimal places.) per pound
TJ, 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 five types of nuts. In preparation for the fall season, TJ, Inc. just purchased the following shipments of nuts at the prices shown: Type of Nut Shipment Amount (pounds) Cost per Shipment ($) 7,500 Almond Brazil Filbert Pecan Walnut Type of Mix Orders (pounds) Regular Deluxe Holiday 6,200 7,600 10,000 7,600 3,000 5,000 6,000 7,400 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. 7,225 An accountant at TJ, Inc. analyzed the cost of packaging materials, sales price per pound, and so forth, and determined that the profit contribution per pound is $1.60 for the Regular Mix, $2.05 for the Deluxe Mix, and $2.20 for the Holiday Mix. These figures do not include the cost of specific types of nuts in the different mixes because that cost can vary greatly in the commodity markets. Customer orders already received are summarized here: 6,750 7,300 7,875
Transcribed Image Text:TJ, Inc. makes three nut mixes for sale to grocery chains located in the Southeast. The three mixes, referred to as the Regular Mix, the Deluxe Mix, and the Holiday Mix, are made by mixing different percentages of five types of nuts. In preparation for the fall season, TJ, Inc. just purchased the following shipments of nuts at the prices shown: Type of Nut Shipment Amount (pounds) Cost per Shipment ($) 7,500 Almond Brazil Filbert Pecan Walnut Type of Mix Orders (pounds) Regular Deluxe Holiday 6,200 7,600 10,000 7,600 3,000 5,000 6,000 7,400 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. 7,225 An accountant at TJ, Inc. analyzed the cost of packaging materials, sales price per pound, and so forth, and determined that the profit contribution per pound is $1.60 for the Regular Mix, $2.05 for the Deluxe Mix, and $2.20 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: 6,750 7,300 7,875
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