Mountain Vineyards produces three kinds of wine - Motutain Blanc: Mountain Red, and Mountain Blush. The company has 20 tons of grapes available to produce wine this season and a case of Blane requires 0.20 tons of grapes, a case of Red requires 0.25 tons, and a case of Blush requires 0.18 tons. The vineyard has enough stornge space in its aging room to store 100 cases of wine. The vineyard has 2,600 hours of production capacity and it requires 12 hotus to produce a case of Blanc, 15 hours to produce a case of Red, and 16 hous to produce a case of Blush. From past sales the vineyard knows that demand for the Blank will be no more than haif of the sales of the other fwo wines combined. The profit for a case of Blane is 57,500 , the profit for a case of Red ts 58,200 . and the profit for a case of Blush is 59.500. Formulate a linear progamming model to obtain a production schedule that maximires protit. [22 points]