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May 7th, 2016, 03:53 PM
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PTU MBA QT Notes
I am MBA student of I. K. Gujral Punjab Technical University and looking for the Quantitative Techniques for Management Syllabus and Notes. Can you please provide complete QA syllabus and some notes in the PDF format so that I can prepare well for my university examination? I. K. Gujral Punjab Technical University is a State university located at Kapurthala highway, Jalandhar, India. As per your request below I am providing you the MBA Quantitative Techniques for Management Syllabus and Notes: PTU MBA Quantitative Techniques Syllabus: UNIT I QT – Introduction – Measures of Central Tendency – Mean, Median, Mode. Mathematical Models – deterministic and probabilistic – simple business examples – OR and optimization models – Linear Programming – formulation – graphical solution –simplex – solution. UNIT II Transportation model – Initial Basic Feasible solutions – optimum solution for non – degeneracy and degeneracy model – Trans-shipment Model – Assignment Model – Travelling Salesmen problem. UNIT III Network Model – networking – CPM – critical path – Time estimates – critical path – crashing, Resource levelling, Resources planning. Waiting Line Model – Structure of model – M/M/1 for infinite population. UNIT IV Probability – definitions – addition and multiplication Rules (only statements) – simple business application problems – probability distribution – expected value concept – theoretical probability distributions – Binomial, Poison and Normal – Simple problems applied to business. UNIT V Inventory Models – Deterministic – EOQ – EOQ with Price Breaks – Probabilistic Inventory Models - Probabilistic EOQ model – Game theory-zero sum games: Arithmetic and Graphical Method. Simulation – types of simulation – Monte Carlo simulation – simulation problems. Decision Theory – Pay off tables – decision criteria – decision trees. MBA Quantitative Techniques Notes: MBA Quantitative Techniques Notes1 Question1: Define “Problem”? Answer: A Problem is defined as a cultural artifact, which is especially visible in a society‟s economic and industrial decision making process. Those managers that make effective decision concerning a known problem are good administrators. Question 2: What is set and what are various notations to define set? Answer: A collection of well defined objects is called a set. The objects are called elements. The elements are definite and distinct. Notations: Sets are usually denoted by capital letters A, B, C, D….. And their elements are denoted by corresponding small letters a, b, c, d… If a is an element of set A, then this fact is denoted by the symbol a ∈ A and read as “a belongs to A”. If a is not an element of A, then we write a ∉ A and read it as “a does not belongs to A.” Question 3: Differentiate between singleton Set and Empty Set. Answer: Empty Set: A set which does not contain any element is called the empty set or the null set or the void set. Let A = {x: 1 < x < 2, x is a natural number}. Then A is the empty set, because there is no natural number between 1 and 2. Singleton Set: If a set A has only one element, we call it a singleton set. Thus, {a} is a singleton set. Question 4: Differentiate between Subset Set and Proper Subset. Answer Subset: A set A is said to be a subset of a set B if every element of A is also an element of B. i.e. A ⊂B if whenever a ∈ A, then a ∈B. we can write the definition of subset as follows: A ⊂B if a ∈A for all a ∈B Proper Subset: Let A and B be two sets. If A ⊂B and A ≠ B , then A is called a proper subset of B and B is called superset of A. For example, A = {1, 2, 3} is a proper subset of B = {1, 2, 3, 4}. Question 5: Differentiate between Equal Set and Equivalent Set. Answer Equal Set: Two sets A and B are said to be equal if they have exactly the same elements and write A = B. Otherwise, the sets are said to be unequal and we write A ≠B. For Examples Let A = {1, 2, 3, 4} and B = {3, 1, 4, 2}. Then A = B. Equivalent Set: Two sets are called equivalent set, if and only if there is one to one correspondence between their elements. If A= {a, b, c} and B= {1, 2, 3}, then correspondence in the elements of A and B is one to one, A is equivalent to B, and we write it as A ~ B. Question 6: What is Set of Sets? Answer: If the elements of a set ate sets, then the set is called a set of sets. Example: {{a}, {a, b}, {a, b, c}} Question 7: Define Finite and Infinite Set. Answer Finite Set: A set is said to be finite set if in counting its different elements, the counting process comes to an end. Thus a set with finite number of elements is a finite set. E.g.: The set of vowels = {a, e, i, o, u}. Infinite Set: A set, which is neither set nor a finite set, is called infinite set. The counting process can never come to an end in counting the elements of this set. E.g.: The set of natural number= {1, 2, 3, 4…} Question 8: Prove that “Every set is subset of itself.” Proof: Let A be any set and ∅ be the empty set. It is clear that ∅ has no element of A. Thus ∅ is a subset of A. Question 9: What is Venn diagram? Answer Venn diagrams or set diagrams are diagrams that show all hypothetically possible logical relations between a finite collection of sets (groups of things). Venn diagrams were invented around 1880 by John Venn. They are used in many fields, including set theory, probability, logic, statistics, and computer science. Question 10: Define Log. Answer: The logarithm of a number to a given base is the power or exponent to which the base must be raised in order to produce the number. For example, the logarithm of 1000 to the base 10 is 3, because 3 is how many 10s you must multiply to get 1000: thus 10 × 10 × 10 = 1000; the base 2 logarithm of 32 is 5 because 5 is how many 2s one must multiply to get 32: thus 2 × 2 × 2 × 2 × 2 = 32. Question 11: What is use of log in real life? Answer Logarithms are useful in solving equations in which exponents are unknown. They have simple derivatives, so they are often used in the solution of integrals. The logarithm is one of three closely related functions. In the equation Last edited by Neelurk; May 16th, 2020 at 02:23 PM. |