Food-Processing-Plant-Design-layout

Food Processing Plant Design & layout
iv. Blending Problem. When a product can be made from a variety of available raw
materials, each of which has a particular composition and price, linear programming
technique is used to determine minimum cost blend.
v. Media Selection. Linear programming helps in determining the advertising media mix so
as to maximize the effective exposure at minimum cost.
vi. Traveling Salesman Problem
vii. Physical Distribution. It helps in selecting most economical and effective location for the
manufacturing plant and distribution centers.
viii. Staffing Problem. Linear programming helps to allocate optimum manpower to a
particular job so as to minimize total over time cost and total manpower.
ix. Job Evaluation and Selection. Selection of suitable person for a specified job and
evaluation of job in organization has been done with the help of linear programming.
x. Agriculture. To allocate limited resources such as land, labour, water supply and
working capital etc. in the way so as to improve productivity.
xi. Routing Problem. To determine the most economic pattern and timings for flights so as
to make the most efficient use of aircraft and crews.
14.4.5 Solution of Linear Programming Problems
Linear Programming Problems can be solved by following methods:
a. Graphical method, b. Simplex method, c. Transportation method and d. Assignment
models
The graphical method can be used only for two or three variables; whereas the other
methods can be used for any number of variables.
Illustrative Example on Formulation of Linear Programming Model
Example: The manager of an oil refinery must decide on the optimal mix of two possible
blending processes of which the input and output per production run are given as follows:
Process
Input (units)
Output
Crude A Crude B Gasoline X Gasoline Y
1
5
3
5
8
2
4
5
4
4
The maximum amount available of crude A and B are 200 units and 150 units, respectively.
Market requirements show that at least 100 units of gasoline X and 80 units of gasoline Y
must be produced. Formulate this problem as a linear programming model to maximize
profit. The profit per production run from process 1 and process 2 are Rs 300 and Rs
400, respectively.
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