Why there must be at least two lines on any given plane?
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A manufacturer makes two types of snowmobiles normal andsouped-up. The profit on a normal snowmobile is $3050 and theprofit on the souped-up version $4000. To meet customer demand, thecompany must manufacture at least 80 normal snowmobiles per weekand at least 60 souped-up. To maintain quality, the total combinednumber of both models manufactured should not exceed 210/week. Whatis the objective function? What number of each type of snowmobilesshould be manufactured per week to maximize profit? What is themaximum weekly profit? What are the constraints? Graph it.
Robert is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M.?