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A winery has the following capacity to produce an exclusive dinner wine at either of its two vineyards at the indicated costs: Vineyard Capacity 3,500 bottles 3,100 bottles Cost per Bottle $23 $25 1 2 Four Italian restaurants around the country are interested in purchasing this wine. Because the wine is exclusive, they all want to buy as much as they need but will take whatever they can get. The maximum amounts required by the restaurants and the prices they are willing to pay are summarized in the following table. Restaurant Maximum Demand Price 1,800 bottles $69 2 2,300 bottles $67 $70 $66 3 1,250 bottles 1,750 bottles 4 The costs of shipping a bottle from the vineyards to the restaurants are summarized in the following table. Restaurant Vineyard 1. 3 4 $9 $7 1 $7 $8 $13 2 $12 $6 $8 The winery needs to determine the production and shipping plan that allows it to maximize its profits on this wine. a. Draw the Diagram that describes the shipping variables b. Formulate an LPmodel for this problem. c. Create a spreadsheet model for this problem and solve it using Solver. d. What is the optimal solution?

A winery has the following capacity to produce an exclusive dinner wine at either of its two vineyards at the indicated costs: Vineyard Capacity 3,500 bottles 3,100 bottles Cost per Bottle $23 $25 1 2 Four Italian restaurants around the country are interested in purchasing this wine. Because the wine is exclusive, they all want to buy as much as they need but will take whatever they can get. The maximum amounts required by the restaurants and the prices they are willing to pay are summarized in the following table. Restaurant Maximum Demand Price 1,800 bottles $69 2 2,300 bottles $67 $70 $66 3 1,250 bottles 1,750 bottles 4 The costs of shipping a bottle from the vineyards to the restaurants are summarized in the following table. Restaurant Vineyard 1. 3 4 $9 $7 1 $7 $8 $13 2 $12 $6 $8 The winery needs to determine the production and shipping plan that allows it to maximize its profits on this wine. a. Draw the Diagram that describes the shipping variables b. Formulate an LPmodel for this problem. c. Create a spreadsheet model for this problem and solve it using Solver. d. What is the optimal solution?

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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A winery has the following capacity to produce an exclusive dinner wine at either of its two vineyards at the indicated costs: Vineyard Cost per Bottle Саpacity 3,500 bottles 1 $23 2 3,100 bottles $25 Four Italian restaurants around the country are interested in purchasing this wine. Because the wine is exclusive, they all want to buy as much as they need but will take whatever they can get. The maximum amounts required by the restaurants and the prices they are willing to pay are summarized in the following table. Restaurant Maximum Demand Price 1 1,800 bottles $69 2 2,300 bottles $67 3. 1,250 bottles $70 4 1,750 bottles $66 The costs of shipping a bottle from the vineyards to the restaurants are summarized in the following table. Restaurant Vineyard 2 1 $7 $8 $13 $9 2 $12 $6 $8 $7 The winery needs to determine the production and shipping plan that allows it to maximize its profits on this wine. a. Draw the Diagram that describes the shipping variables b. Formulate an LPmodel for this problem. c. Create a spreadsheet model for this problem and solve it using Solver. d. What is the optimal solution?
Transcribed Image Text:A winery has the following capacity to produce an exclusive dinner wine at either of its two vineyards at the indicated costs: Vineyard Cost per Bottle Саpacity 3,500 bottles 1 $23 2 3,100 bottles $25 Four Italian restaurants around the country are interested in purchasing this wine. Because the wine is exclusive, they all want to buy as much as they need but will take whatever they can get. The maximum amounts required by the restaurants and the prices they are willing to pay are summarized in the following table. Restaurant Maximum Demand Price 1 1,800 bottles $69 2 2,300 bottles $67 3. 1,250 bottles $70 4 1,750 bottles $66 The costs of shipping a bottle from the vineyards to the restaurants are summarized in the following table. Restaurant Vineyard 2 1 $7 $8 $13 $9 2 $12 $6 $8 $7 The winery needs to determine the production and shipping plan that allows it to maximize its profits on this wine. a. Draw the Diagram that describes the shipping variables b. Formulate an LPmodel for this problem. c. Create a spreadsheet model for this problem and solve it using Solver. d. What is the optimal solution?
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