Question: Consider a product-mix selection problem. Suppose that the Knox Mix company has the option of using one or more of four different types of production

Consider a product-mix selection problem. Suppose that the Knox Mix company has the option of using one or more of four different types of production processes. The first and second processes yield times of product A, and the third and fourth yield items of product B. The inputs for each process are labor measured in manweeks, pounds of material Y, and boxes of material Z. Since each process varies in its input requirements, the profitabilities of the process differ, even for processes producing the same item. The manufacturer's decision on a week's production schedule is limited in the range of possibilities by the available amounts of manpower and both kinds of raw materials. The full technology and input restrictions are given in Table below. (1) If linear membership function is assumed, try to build a symmetric model for the above problem and find the optimal solution. (2) If linear membership function is assumed, try to build a non-symmetric model and support the decision
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
