Dr. Thompson makes three bean mixes for coffee shops located in the Austin. The three mixes, referred to as the Tameka Mix, the Christian Mix, and the Tamia Mix, are made by mixing different percentages of five types of beans. In preparation for the fall season, Dr. Thompson just purchased the following shipments of beans at the prices shown: Type of Beans Shipment Amount in pounds Cost Per Shipment in dollars Arabica 6000 7500 Robusta 7500 7125 Liberica 7500 6750 Excelsa 6000 7200 Juno 7500 7875   The Tameka Mix consists of 15% Arabica, 25% Robusta beans, 25% Liberica, 10% Excelsa, and 25% Juno. The Christian Mix consists of 20% of each type of beans, and the Tamia Mix consists of 25% Arabica, 15% Robusta beans, 15% Liberica, 25% Excelsa, and 20% Juno. Dr. Thompson analyzed the cost to get the beans ready and determined that the profit contribution per pound is $1.65 for the Tameka Mix, $2.00 for the Christian Mix, and $2.25 for the Tamia Mix. Customer orders already received are summarized here: Type of Bean Mix Orders in pounds Tameka 10000 Christian 3000 Tamia 5000   Because Austin is a big coffee town, demand is running high for the beans, and it is expected that Dr Thompson will receive many more orders than can be satisfied.   Dr. Thompson is committed to using the available beans to maximize profit. All customer orders must be satisfied.   Perform an analysis to answer the following questions: EXPLAIN THE ANSWERS USINE EXCEL. The cost per pound of the beans included in the Tameka, Christian and Tamia Mix. The optimal bean mix and the total profit contribution (Use excel solver) Recommendations regarding how the total profit contribution can be increased if additional quantities of beans can be purchased. Should Dr. Thompson purchase an additional 1000 pounds of Arabica for $1000 from another bean supplier who had extra?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 45P
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Dr. Thompson makes three bean mixes for coffee shops located in the Austin. The three mixes, referred to as the Tameka Mix, the Christian Mix, and the Tamia Mix, are made by mixing different percentages of five types of beans. In preparation for the fall season, Dr. Thompson just purchased the following shipments of beans at the prices shown:

Type of Beans

Shipment Amount in pounds

Cost Per Shipment in dollars

Arabica

6000

7500

Robusta

7500

7125

Liberica

7500

6750

Excelsa

6000

7200

Juno

7500

7875

 

The Tameka Mix consists of 15% Arabica, 25% Robusta beans, 25% Liberica, 10% Excelsa, and 25% Juno. The Christian Mix consists of 20% of each type of beans, and the Tamia Mix consists of 25% Arabica, 15% Robusta beans, 15% Liberica, 25% Excelsa, and 20% Juno.

Dr. Thompson analyzed the cost to get the beans ready and determined that the profit contribution per pound is $1.65 for the Tameka Mix, $2.00 for the Christian Mix, and $2.25 for the Tamia Mix.

Customer orders already received are summarized here:

Type of Bean Mix

Orders in pounds

Tameka

10000

Christian

3000

Tamia

5000

 

Because Austin is a big coffee town, demand is running high for the beans, and it is expected that Dr Thompson will receive many more orders than can be satisfied.

 

Dr. Thompson is committed to using the available beans to maximize profit. All customer orders must be satisfied.

 

Perform an analysis to answer the following questions:

EXPLAIN THE ANSWERS USINE EXCEL.

  1. The cost per pound of the beans included in the Tameka, Christian and Tamia Mix.
  2. The optimal bean mix and the total profit contribution (Use excel solver)
  3. Recommendations regarding how the total profit contribution can be increased if additional quantities of beans can be purchased.
  4. Should Dr. Thompson purchase an additional 1000 pounds of Arabica for $1000 from another bean supplier who had extra?
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ISBN:
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Cengage,