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Introduction to Management Science
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Introduction to Management Science Management - managing the organization Science - Analytical, systematic way Management science - is defined as helping people make better decisions. It is also known as Operational Research. It applies advanced analytical methods to business decision problems History of Management Science United Kingdom World War II (1939-1945) The UK government applies science in fighting a war. They use the knowledge of different scientists in their respective fields to know what is the most effective strategies are to use, especially for military defense. With this, the UK won. 1948 Operational Research Club of Great Britain. They continue the operational research. 1953 Operational Research Club becomes OR Society. It became a society, and it expanded. Its focus is not only in military defense anymore but also in economics, financial problem, and etc. Many countries also started to adapt management science. 1951 First Masters and Pd.D academic programmes in OR were established at Case Institute, Cleveland Ohio 1959 International Federation of Operational Research societies was founded Management Science Applications Assignment
MS Models Iconic models - physical replicas Mathematical models - quantitative approach to decision making P = profit x = number of units sold 10 = selling price per unit P and x are variables P is a dependent variable. x is an independent variable 10 is a parameter Exact numerical value can vary Value depends on x Value does not depend on another variable Constant value
((x) =^3000 +2x
((x) =^3000 +^ 21580) = (^3) , 000 + (^1) , 000 C(x) =^1 , (^000) // 7 unit^ produced :^200 ((X) = 3 , 000 +^ 2(200) = (^3) , 000 + (^400) C(x) =^3 , 400/ & cost :^10 , 000 10 , 000 =^3 , 000 +^ 2x (^2) x = (^10) , 000 - (^3) , 000 2x =^7 , 000 X =^3 , 500 11
cost :^700 C(x7 = (^3) , 000 + (^) 4( C(X) =^3 ,^000 +^2 , 800 ((x) =^5 , 800
((x) =^3 ,^000 +^ 2(500)^ ((x)^ =^3000 +^ 2(501) : (^3) , 000 + (^1) , 000 : (^3) , 000 + (^1) , 002 ((X) = 4 , 000 ((x) =^4 , 002
P(x) = R(x) - ((x) V ↓ ↓ Profit Revenue cost P(x) =^ 5x^ - 13000 +^ 2x) (^7) unit sold :^500 P(x) =^ 5(500)^ - (^13) , 000 + 2(5001) = (^2) , 500 - 13 , 000 + (^1) , 000) = (^2) , 500 - (^1) /, 000
7 Unit^ sold :^2 , 000 P(x) =^ 5(2, 000) - (3, 000 +^ 2(2 (^) , 0001) = (^10) , 000 - 13 ,^000 +^4 , 000)
(^10) , 000 :^ 5x -^13 , 000 + 2x) (^10) , 000 = 3x - 3 , 000 3x =^13 , 000