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5 Beerco manufactures ale and beer from corn, hops, and malt. Currently, 40 lb of corn, 30 lb of hops, and 40 lb of malt are available. A barrel of ale sells for $40 and requires 1 lb of corn, 1 lb of hops, and 2 lb of malt. A barrel of beer sells for $50 and requires 2 lb of corn, 1 lb of hops, and 1 lb of malt. Beerco can sell all ale and beer that is produced. Assume that Beerco's goal is to maximize total sales revenue and solve the following LP: max z = 40ALE + 50BEER s.t. ALE + 2BEER = 40 (Corn constraint) ALE + BEER = 30 (Hops constraint) 2ALE + BEER 0 ALE = barrels of ale produced, and BEER = barrels of beer produced. g Draw a graph of the optimal z-value as a function of the price of ale. h Draw a graph of the optimal z-value as a function of the amount of available corn. i Draw a graph of the optimal z-value as a function of the amount of available hops. i Draw a graph of the optimal z-value as a function of the amount of available malt. 5 Beerco manufactures ale and beer from corn, hops, and malt. Currently, 40 lb of corn, 30 lb of hops, and 40 lb of malt are available. A barrel of ale sells for $40 and requires 1 lb of corn, 1 lb of hops, and 2 lb of malt. A barrel of beer sells for $50 and requires 2 lb of corn, 1 lb of hops, and 1 lb of malt. Beerco can sell all ale and beer that is produced. Assume that Beerco's goal is to maximize total sales revenue and solve the following LP: max z = 40ALE + 50BEER s.t. ALE + 2BEER = 40 (Corn constraint) ALE + BEER = 30 (Hops constraint) 2ALE + BEER 0 ALE = barrels of ale produced, and BEER = barrels of beer produced. g Draw a graph of the optimal z-value as a function of the price of ale. h Draw a graph of the optimal z-value as a function of the amount of available corn. i Draw a graph of the optimal z-value as a function of the amount of available hops. i Draw a graph of the optimal z-value as a function of the amount of available malt