Answer to Question #350509 in Management for Abdure

Question

 a company possesses two manufacturing plants, each of which can produce three products: X,Y, and Z from common raw material. However, the proportions in which the products are produced are different in each plant and so are the plant’s operating costs per hour. Following are the data on the production per hour and costs together with current orders in hand for each product.

Plant                                       product                                               operating cost per hour(birr)

                                   X        Y        Z

A                                2         4         3                                             9

B                                4         3         2                                             10

Orders on hand          54       24       60

You are required to use graphical method to find out the number of production hours needed to fulfill the orders on hand at minimum cost.