Linear Programming Mert Gezer owns iftDng, a bicycle shop in Baheky, istanbul. Most of Mert's bicycle sales are customer orders; however, he also stocks bicycles for walk-in customers. He stocks three types of bicycles-road racing, cross country, and mountain. Mert purchases his bicycles from a local manufacturer at the following prices: road racing bike 2,000 , cross-country bike t 17,000 , and mountain bike 9,000. He has =20,000 available this month to purchase bikes. He sells road racing bikes for 18,000, cross-country bikes for 21,000, and mountain bikes for 22,000. Each bike must be assembled; a road racing bike requires 8 hours to assemble, a cross-country bike requires 12 hours, and a mountain bike requires 16 hours. He estimates that he and his employees have 120 hours/month available to assemble bikes. Mert plans to stock at least as many mountain bikes as the other two combined because mountain bikes sell better. He has enough space in his store to order 20 bikes this month, and, based on past sales, Mert is confident that he will be able to sell every bicycle. Write a linear programming formulation of the problem using the outline provided below: Decision variables (explain your decision variables in detail). Objective function (expressed in terms of the decision variables). Constraints (expressed in terms of the decision variables). Decision Variables of the LP: [ Objective Function of the LP: Constraints of the LP