John Hoke owns Hoke’s Spokes, a bicycle shop. He stocks 4 types of bicycles – basic, road racing, cross-country, and mountain. A basic bike costs $ $300, road-racing bike costs $1,200, a cross-country bike costs $1,700, and a mountain bike costs $900. He sells basic bikes for $600, road-racing bikes for $1,800, cross-country bikes for $2,100 and mountain bikes for $1,200. He has $30,000 available this month to purchase bikes. Each bike must be assembled; a basic bike requires 5 hours to assemble, 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 140 hours available to assemble bikes. He has enough space in his store to order 40 bikes this month. Based on past sales, John wants to stock at least 10 basic bikes, one cross country bike, one road racing bike, and 2 mountain bikes. John wants to know how many bikes of each type he should stock in order to maximize profit.
John Hoke owns Hoke’s Spokes, a bicycle shop. He stocks 4 types of bicycles – basic, road racing, cross-country, and mountain. A basic bike costs $ $300, road-racing bike costs $1,200, a cross-country bike costs $1,700, and a mountain bike costs $900. He sells basic bikes for $600, road-racing bikes for $1,800, cross-country bikes for $2,100 and mountain bikes for $1,200. He has $30,000 available this month to purchase bikes. Each bike must be assembled; a basic bike requires 5 hours to assemble, 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 140 hours available to assemble bikes. He has enough space in his store to order 40 bikes this month. Based on past sales, John wants to stock at least 10 basic bikes, one cross country bike, one road racing bike, and 2 mountain bikes. John wants to know how many bikes of each type he should stock in order to maximize profit.
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