Solve the linear programming problem.
A vineyard produces two special wines, a white and a red. A bottle of the white wine requires 14 pounds of grapes and 1 hour of processing time. A bottle of red wine requires 25 pounds of grapes and 2 hours of processing time. The vineyard has on hand 2,198 pounds of grapes and can allot 160 hours of processing time to the production of these wines. A bottle of the white wine sells for $11.00, while a bottle of the red wine sells for $20.00. How many bottles of each type should the vineyard produce in order to maximize gross sales?
◦ 42 bottles of white and 59 bottles of red
◦ 76 bottles of white and 42 bottles of red
◦ 14 bottles of white and 132 bottles of red
◦ 132 bottles of white and 14 bottles of red
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