Solve the Linear Programming Problem

question 305

Multiple Choice

Solve the linear programming problem.
-A vineyard produces two special wines, a white and a red. A bottle of the white wine requires 14 poundsof grapes and 1 hour of processing time. A bottle of red wine requires 25 pounds of grapes and 2 hours ofprocessing time. The vineyard has on hand 2,198 pounds of grapes and can allot 160 hours of processingtime to the production of these wines. A bottle of the white wine sells for $11.00, while a bottle of the redwine sells for $20.00. How many bottles of each type should the vineyard produce in order to maximizegross sales?

• A)132 bottles of white and 14 bottles of red
• B)14 bottles of white and 132 bottles of red
• C)76 bottles of white and 42 bottles of red
• D)42 bottles of white and 59 bottles of red

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Definitions:

Support Department

A department that provides a necessary service to produce a product but is not directly involved in the production process. Also known as a service department.

Human Resources Department

The division of a business that is focused on activities relating to employees, including hiring, training, and benefits management.

Investment Center

A decentralized unit in which the manager has the responsibility and authority to make decisions that affect not only costs and revenues but also the fixed assets invested in the center.

Plant Assets

Physical resources that are owned and used by a business and are permanent or have a long life; long-term or relatively permanent tangible assets such as equipment, machinery, and buildings that are used in normal business operations.