i need the solution to this problem:
Ray Brown owns Ray’s Speed, a bicycle shop. Most of Ray’s bicycle sales are customer order; however, he also stocks bicycle for walk-in customer. He stocks three types of bicycles; road- racing, cross-country, and mountain. A road-racing bike cost $1200, a cross-country bike costs $1700, and a mountain bike costs $900. He sells road-racing bikes for $1800, cross-country bikes for $2,100, and mountain bikes for $1,200. He has $12,000 available this month to purchase bikes. 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 available to assemble bikes. He has enough space in his store to order 20 bikes this month. Based on past sales, he wants to stock at least twice as many mountain bikes as the other two combined because mountain bikes sell better.
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