A winery has the following capacity to produce an exclusive dinner wine at either of its two vineyards at the indicated costs: ]
Vineyard Capacity Cost per Bottle
1 3,500 $23
2 3,100 $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 restuarants and the prices they are willing to pay are summarized in the following table.
Restaurant Maximum Demand Price
1 1,800 $69
2 2,300$67
31,250$70
4 1,750$66
The costs of shipping the bottle from the vineyards to the restaurants are summarized in the following table:
Restaurants
Vineyard 1 2 3 4
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. Formulate an LP model for this problem.
b. Create a spreadsheet model for this problem, and solve it using Solver.
c. What is the optimal solution?