Solve the Linear Programming Problem

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