Green supply chain management GSCM is about incorporating the environmental idea in every stage of a supply chain. It has The LPP is the simplest way to calculate the profit and loss of a management. The important application of LPP is cost reduction
INTRODUCTION Mathematics is the queen of science. In our daily life, planning is required on various occasions, especially when the resources are limited. Any planning is meant for attaining…Full description
INTRODUCTION Mathematics is the queen of science. In our daily life, planning is required on various occasions, especially when the resources are limited. Any planning is meant for attaining…Full description
board notes class xii
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Linear programming
Linear Programming
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a question on motivation
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The mathematical models which tells to optimise (minimize or maximise) the objective function Z subject to certain condition on the variables is called a Linear programming problem (LPP). ½ ½
The standard form of the linear programming problem is used to develop the procedure for solving a general programming problem. A general LPP is of the form Max (or min) Z = c1x1 + c2x2 + ͙ +cnxn x1, x2, ....xn are called decision variable.
½ ½ ½ ½ ½ ½
The Application Areas of Linear Programming are: 1. Transportation Problem 2. Military Applications 3. Operation of System Of Dams 4. Personnel Assignment Problem 5. Other Applications: (a). manufacturing plants, (b). distribution centres, (c). production management and manpower management.
º c State Board is planning to build new plant for ten years. ½ coal energy ½ Hydroelectric power with no reservoirs ½ Hydroelectric power with small reservoirs(to meet daily fluctuations) ½ Hydroelectric power with Large reservoirs(to meet seasonal fluctuations) c ! ½ Total Annual Usage ½ Peak usage Of Power ½ Guaranteed Power Output Unit Of capacity-to produce 1 billion killowatt hour per year
characteristics Of Annual Plant !
" #
#
$ % &&&
' c &&&
Steam
0.15
.20
1200
2600
Hydroelectric Without reservoir
0.10
.10
1600
1680
Hydroelectric With small reservoir
0.10
.40
2400
2560
Hydroelectric With large reservoir
0.80
.90
4000
4400
c (
1) Help the company in developing a 10 year plan that would detail how many capacity of each type of plant to be build.
2) Develop a LP model and solve it to minimize the total discount cost. however there is a restriction that no more than Rs. 140000 million can be used for investment in plant over the ten years.