Formulate a linear programming model

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Question: Three Ships Winery produces two different wine blends. A batch of the Dark Night blend uses 4 tons of malbec grapes and 2 tons of merlot grapes. A batch of the Morning Star blend uses 2 tons of malbec grapes and 4 tons of merlot grapes. The winery has a total of 18 tons of malbec grapes, and 18 tons of merlot grapes.The profit for a batch of Dark Night is $14,500 and the profit for a batch of Morning Star is slightly less at $12,250. How many batches of each type of wine should the winery produce this year to maximize its profit, assuming half batches are allowed? Formulate a linear programming model and solve it graphically. Display your graph and calculate the maximum profit. Create your graph using Microsoft Word or Excel and submit it to your instructor.

Reference no: EM131801805

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