Operations Research Answers

The movement of materials between the departments is shown in the load summary table below. To From B F I A 90 D 180 200 E 90 270 H 630 Obtain a good layout considering the unit costs of movement is Rs.10 per unit distance per load for all movements.

The movement of materials between the departments is shown in the load summary table below. To From B F I A 90 D 180 200 E 90 270 H 630 Obtain a good layout considering the unit costs of movement is Rs.10 per unit distance per load for all movements. 

A poultry farmer in Lufyanyama has obtained a loan from the Bank to boost his poultry business. He provides you with data to help him optimize the sales. The data is that Old hens can be bought for K20 each but young one cost K50 each. The old hens lay 30 eggs per week, and young ones 50 eggs per week, each egg being worth30ngwee. A hen cost K10 per week to feed. If a person has only K800 to spend on hens, how many of each kind should he buy to get a profit of more than K600 per week assuming that he can’t house more than 200 hens?

a) Formulate the problem as a linear programming model [8 Marks]

b) Using the Big M – method, how many hens should he buy of each kind to maximize the profit per week [13 Marks]

c) Identify the binding and non-binding constraints and justify your choice [4 Marks]

A city has two suburbs: suburb x and suburb y. Over the past several years, the city has experienced a population shift from the city to the suburbs, as shown in the table below.

To the next year

From one year

City (C)

Suburb x (X)

Suburb y (Y)

City (C)

.85

.07

.08

Suburb x (X)

.01

.96

.03

Suburb y (Y)

.01

.02

.97

In 20xo, the city had a population of 120,000, suburb x had a population of 80,000, and suburb by had a population of 50,000. Assuming that the population in the metropolitan area remains constant at 250,000 people,

How many people will live in each of the three areas in 20X2?

How many people will live in each of the three areas in the long run?

Suppose an industry is manufacturing two types of products: pens and books. The

profits per unit of the two products are ₹4 and ₹10 respectively. These two products

require processing in three types of machines. The following table shows the

available machine hours per day and the time required on each machine to produce

one unit of pen and book. Formulate the problem in the form of a linear programming

model and find the optimum solution using graphical method.

.Answer the following questions based on the table given below

Country Total population Female population Young (%) Elder (%)

A 200,000 50,000 20 20

B 60,000 30,000 30 30

Find

A. ADR of each country (Country A and B)

B. Sex ratio (SR) of each country (A and B)

6. Deaths under age one : 200

Number of newly born children : 20,000 Find IMR?