ABSTRACT
In this chapter, we solve a number of practical problems and discuss their solutions. The mathematical models of most of the problems, to be discussed here, have already been formulated in earlier chapters. The size of these problems ranges from small to medium. The following are the problems discussed in this chapter:
. A sanitary-wares product-mix problem
. A crop planning problem
. A two-stage transportation problem
. A power generation and planning problem
. A gas-lift optimization problem
ABC sanitary-wares company produces a number of products using three existing production lines. The production lines A, B, and C produce 3, 4, and 6 products, respectively. All the products require the same basic raw materials but at different amounts per unit. The details of products and raw materials can be found in Sarker and Haque (1985). There is a limitation on the supply of raw materials in a given year and the working capital is also limited. The capacity of each production line is restricted by the skilled labor hours available which can be calculated easily. Initially, it was assumed that all products produced in a year can be sold as the prices are lower than their competitors when compared with their quality. So the problem is to find an optimal product-mix for the company.
