A bicycle manufacturer makes tow models – a sports cycle and racer. In order to make a sports model, 6 man hours are needed, while a racer model requires 10 man hours. The manufacturer can employ no more than 15 men and these men work 8 hours per day for 6 day each week. The cost of material amount to birr 500 per cycle and the manufacturer’s weekly quota of such materials may not exceed birr 40, 000. The firm has a contract to supply at least 30 sport models and 20 racers per week. How many cycles of each type should be made in order to obtain the maximum possible profit, if the profit on each sport cycle is birr 100 and on each racing model is birr 300?
