question

Answer

Construct a mathematical model. Use matrix inverse methods to solve the model the interpret the solution.

65. Production scheduling. A supplier manufactures car and truck frames at two different plants. The production rates (in frames per hour) for each plant are given in the table: Car Frames Truck Frames Plant A B 10 8 Car frames Truck frames How many hours should each plant be scheduled to operate to exactly fill each of the orders in the following table? 1 3,000 1,600 5 Orders 2 2,800 2,000 8 3 2,600 2,200 65. x = no. of hours plant A operates x = no. of hours plant B operates 10x + 8x = k no. of car frames produced 5x + 8x = k no. of truck frames produced Order 1: 280 hr at plant A and 25 hr at plant B Order 2: 160 hr at plant A and 150 hr at plant B Order 3: 80 hr at plant A and 225 hr at plant B