General Linear Programming problems. In this section, the general linear programming prob- lem is introduced followed by some examples to help. limited and restrictive; as we will see later, however, any linear programming problem can be transformed so that it is in canonical form. Thus, the following. LINEAR PROGRAMMING: Some Worked Examples and Exercises for Grades . Steps to be followed in solving a Linear Programming Problem. 1. Define the.

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In this chapter, we shall study some linear programming problems and their solutions Linear Programming Problem and its Mathematical Formulation. In this problem there are two unknowns, and five constraints. All the constraints are inequalities and they are all linear in the sense that each involves an. LINEAR PROGRAMMING - PROBLEMS. PROBLEM 1. A company manufactures 3 products a, b and c, which sells € 14, €15 and € 22 per unit respectively.

Sensitivity analysis in FNLP problems The purpose of sensitivity analysis is to determine changes in the optimal solution of the fuzzy number linear programming problem resulting from changes in the data. Whenever the change destroys the feasibility of the optimal basis, we perform dual pivots to achieve feasibility. The sensitivity analysis adopts the following basic approach. Each unit of product 1 that is produced requires 15 minutes processing on machine X and 25 minutes processing on machine Y. Keep me logged in. In this case, Table 8 is obtained. They used the concept of the symmetric triangular fuzzy number and introduced an approach to defuzzify a general fuzzy quantity.

Each unit of X that is produced requires 50 minutes processing time on machine A and 30 minutes processing time on machine B. Each unit of Y that is produced requires 24 minutes processing time on machine A and 33 minutes processing time on machine B.

At the start of the current week there are 30 units of X and 90 units of Y in stock. Available processing time on machine A is forecast to be 40 hours and on machine B is forecast to be 35 hours.

The demand for X in the current week is forecast to be 75 units and for Y is forecast to be 95 units. Company policy is to maximise the combined sum of the units of X and the units of Y in stock at the end of the week. The objective is: Apply exponential smoothing with a smoothing constant of 0.

These products are produced using two machines, X and Y. Each unit of product 1 that is produced requires 15 minutes processing on machine X and 25 minutes processing on machine Y.

Each unit of product 2 that is produced requires 7 minutes processing on machine X and 45 minutes processing on machine Y. The available time on machine X in week 5 is forecast to be 20 hours and on machine Y in week 5 is forecast to be 15 hours.

Note that the first part of the question is a forecasting question so it is solved below. We can now formulate the LP for week 5 using the two demand figures 37 for product 1 and 14 for product 2 derived above.

A company is involved in the production of two items X and Y. Each unit of X that is produced requires 50 minutes processing time on machine A and 30 minutes processing time on machine B. Each unit of Y that is produced requires 24 minutes processing time on machine A and 33 minutes processing time on machine B.

At the start of the current week there are 30 units of X and 90 units of Y in stock. Available processing time on machine A is forecast to be 40 hours and on machine B is forecast to be 35 hours.

The demand for X in the current week is forecast to be 75 units and for Y is forecast to be 95 units. Company policy is to maximise the combined sum of the units of X and the units of Y in stock at the end of the week.

The objective is: Apply exponential smoothing with a smoothing constant of 0. These products are produced using two machines, X and Y.

Each unit of product 1 that is produced requires 15 minutes processing on machine X and 25 minutes processing on machine Y. Each unit of product 2 that is produced requires 7 minutes processing on machine X and 45 minutes processing on machine Y. The available time on machine X in week 5 is forecast to be 20 hours and on machine Y in week 5 is forecast to be 15 hours. Note that the first part of the question is a forecasting question so it is solved below. We can now formulate the LP for week 5 using the two demand figures 37 for product 1 and 14 for product 2 derived above.

A company is involved in the production of two items X and Y.