Show me step by step Problem 50 Mountain Laurel Vineyards produces three kinds of wineMountain Blanc, Mountain Red, and Mountain Blush. The company has 17 tons of grapes available to produce wine this season. A cask of Blanc requires 0.21 ton of grapes, a cask of Red requires 0.24 ton, and a cask of Blush requires 0.18 ton. The vineyard has enough storage space in its aging room to store 80 casks of wine. The vineyard has 2,500 hours of production capacity, and it requires: 12 hours to produce a cask of Blanc 14.5 hours to produce a cask of Red 16 hours to produce a cask of Blush From past sales, the vineyard knows that demand for the Blush will be no more than half of the sales of the other two wines combined. The profit for: A cask of Blanc is $7,500 A cask of Red is $8,200 A cask of Blush is $10,500 Formulate a linear programming model for this problem. Problem 51 Solve the linear programming model formulated in Problem 50 for Mountain Laurel Vineyards by using the computer. a. If the vineyard determined that the profit from Red was $7,600 instead of $8,200, how would that affect the optimal solution? b. If the vineyard could secure one additional unit of any of the resources used in the production of wine, which one should it select? c. If the vineyard could obtain 0.5 ton more grapes, 500 more hours of production capacity, or enough storage capacity to store 4 more casks of wine, which should it choose? d. All three wines are produced in the optimal soluti