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Food Processing Plant Design & layout

quantitative terms. These may refer to man-hours, machine hours, raw materials,

storage space, capital etc.

The parameters are subject to variation in magnitude.

The relationship expressed by constraints and the objective function are linear.

The objective function is to be optimized w.r.t. the decision variables involved in the

phenomenon. The decision variables are non-negative and represent real life

situation.

14.4.2 Advantages of Linear Programming

(i) Linear programming helps the management to make effective utilization of limited

production resources.

(ii) Linear programming improves the quality of decision making by replacing rules of

thumb.

(iii) It provides feasibility in analyzing a variety of multi-dimensional problems.

(iv) It highlights the bottlenecks in the production processes.

(v) It helps in re-evaluation of the basic plan to meet changing conditions in the business

(e.g., sales, demand etc.).

14.4.3 Limitations of Linear Programming

(i) The assumptions that all relations are linear may not hold good in many real situations.

(ii) In linear programming all coefficients and constraints are stated with certainty. (iii) The

solution many times is in fractions which may not remain optimal when rounded-off. .

(iii) When the number of variables or constraints involved are quite large then it be com

necessary to use computers.

(iv) It deals with only a single objective problems, whereas in real life situations there may

be more than one conflicting objectives.

14.4.4 Applications of Linear Programming

Some of the applications of linear programming in industry, business, and other fields are

as follows:

i. Product Mix. A company can produce several different products, each of which requires

the use of limited resources. Linear programming helps to determine the quantity of each

product to be manufactured in order to maximize profit.

ii. Production Planning. Linear programming helps in production planning (inventory

control, manpower, equipment selection, etc.) in order to minimize total operations costs.

iii. Assembly line Balancing. Linear programming techniques help to minimize. total

elapsed time in assembly process.

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