# draw linear programming model A trucking company with Rs 4000000 to spend o n new equipment is conte

draw linear programming model A trucking company with Rs 4000000 to spend o n new equipment is contemplating three types of vehicles. Vehicle A ha s a 10 ton payload and is expected to average 35 km per hour. It costs Rs 800 00. Vehicle B has a 20 ton payload and is expected to average 30 km per hour. It costs Rs 130000. Vehicle C is a modified form of Vehicle B; it carries sleepin g quarters for one driver and that reduces its carrying capacity to 18 tons and raises the cost to Rs 150000. Vehicle A requires a crew of one man, and if driven on three shifts per day, could be run for an average of 18 hours per day. Ve hicles B and C require a crew of two men each, but whereas B would be driven 18 hours per day with three shifts, C would average 21 hours per day. The company has 150 drivers available each day and would find it difficult to o btain further crews. Maintenance facilities are such that the total numb er of vehicles must not exceed 30. How many vehicles of each type should be purchased if the company wishes to maximise its capacity in ton-km per day? Attached