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ALLAMA IQBAL OPEN UNIVERSITY ISLAMABAD
(Department of Business Administration)
BUSINESS MATHEMATICS (BBA-135)
(CHECKLIST)
SEMESTER: SPRING 2014
This packet comprises the following material:
1. Text Book (one)
2. Course Outline
3. Assignment No. 1 & 2
4. Assignment Forms (2 sets)
If you find anything missing out of the above-mentioned material, please contact at the address given below:
Mailing Officer
Mailing Section, Block No. 28
Allama Iqbal Open University
H-8, ISLAMABAD
Phone: 051-9057611-12
Course Coordinator
ALLAMA IQBAL OPEN UNIVERSITY, ISLAMABAD
(Department of Business Administration)
WARNING
1. PLAGIARISM OR HIRING OF GHOST WRITER(S) FOR SOLVING THE ASSIGNMENT(S) WILL DEBAR THE STUDENT FROM AWARD OF DEGREE/CERTIFICATE, IF FOUND AT ANY STAGE.
2. SUBMITTING ASSIGNMENTS BORROWED OR STOLEN FROM OTHER(S) AS ONES OWN WILL BE PENALIZED AS DEFINED IN AIOU PLAGIARISM POLICY.
ASSIGNMENT No. 1
(Units: 15)
Course: Business Mathematics (135) Semester: Spring 2014
Level: BBA Total Marks: 100
Pass Marks: 40
Note: All questions are compulsory and carry equal marks.
Q. 1 (a) Let A={2,4,6,8,10], B={6,8,11,12} and U={1,2,3,4,5,6,7,8,9,10,11,12}
Find
(1) Ac (2) AB (3) (AB)c (4) AB
(b) A store manager plans to increase the selling price of an item by 7%. If the item costs $6.52 and presently sells for $8.95. How much increase in price occurs after the increase in selling price.
(c) Find the equation of a line containing the points (4, 7) and 3, 6). (20)
Q. 2 (a) A service industry Williamss system has the following input coefficient matrix.
Services
Manufacturing
Farming
If the demand from the consumer section are 21, 5 and 1 units respectively. Find the output needed for these demands.
(b) Find the solution set of the following equations:
1. 6x + 2y = 6 and 12x + 4y = 12
2. 0.02x 0.4y = 0.2; and 0.04x + 0.6y = 3.8 (20)
Q. 3 (a) A company is considering two products Type I and type II. Type I requires Ό hours on a drill and 1/8 hours on a lathe. Type II requires ½ hours on a drill and Ύ hours on a lathe. The profit from Type I is $50 per product, and the profit from Type II is $102 per product. If the machines are limited to 8 hours per day, how many of each product should be produced to maximize profit?
(b) Graph the following functions:
1. 2x2 y2 = 9 2. 3xy = 4 (20)
Q. 4 (a) Minimize 2y1 + 5y2 = C
Subject to:
3y1 + 2y2 ≥ 8
Y1 + 4y2 ≥ 6
Y1 ≥ 0
Y2 ≥ 0
(b) Solve the following system of equations by using the inverse matrix method:
2x + 4y = 10
3x 4y = 6 (20)
Q. 5 Find the payment needed each month to pay off a debt of $1000 at 12% interest compounded semi annually. (20)
ASSIGNMENT No. 2
(Units: 69) Total Marks: 100
Note: All questions are compulsory and carry equal marks.
Q. 1 There are six roads from A to B and four roads between B and C.
(a) In how many ways can the trip be made?
(b) In how many ways can she drive round trip from A to B to C and return to A through B.
(c) Prepare tree diagram to support your answer. (20)
Q. 2 Three manufacturing plants A, Z, and N supply respectively 60%, 10%, and 30% of all shock absorbers used by a certain manufacturer. Records show that the percentage of defective items produced by A, Z and N is 1%, 2%, and 3% respectively. What is the probability that a randomly chosen shock absorber installed by the manufacturer will be defective? (20)
Q. 3 (a) A nationwide promotion promises a first prize of $25000 two second prices of $5000 and four third prices of $1000. A total of 950000 persons enter the lottery. What is the expected value of the lottery if the lottery cost nothing to enter?
(b) Find the fixed probability vector for the matrix (20)
Q. 4 The probability of a person passing the test for a drivers license on the first try is 0.75. The probability that an individual who fails on the first test will pass on the second try is 0.80, and the probability that an individual who fails the first and second tests will pass the third time is 0.70. Find the probability that an individual
(a) fails both the first and second tests;
(b) will fail three times in a row;
(c) will require at least two tries to pass the test. (20)
Q. 5 (a) If a marginal revenue function is given by
MR = 8000 0.8x
Find the total revenue for a sale of 300 items. What is the maximum revenue?
(b) Evaluate the following definite integrals:
1. dx
2. dx (20)
BUSINESS MATHEMATICS
(Course Outline BBA-135)
Unit 1 Fundamental Concepts of Modern Mathematics
Introduction to Set Notation
The Real Numbers
Solution Sets for Equations and Inequalities
Graphs
Slopes and Linear Equations
Applications of Percentages in Business
Unit 2 Equations and Inequalities
Rectangular Co-Ordinates
The Straight Line
Solution of Linear Systems
System of Linear Equalizations and Matrices
Applications
Linear Inequalities
Quadratic Equations
Unit 3 Graphs and Functions
Exponents and Radicals
Concept of a Function
Basic Operations with Algebraic Expressions
Quadratic Functions and Quadratic Equations
Aids to Graphing Functions
Introduction to Graphs of Polynomial and Rational Functions
Exponential Functions
Logarithmic Functions
Unit 4 Introduction to Matrices with Application
Addition of Matrices
Matrix Multiplication
Row Operations
Inverse of a Matrix
Systems of m Equations in Unknowns
Application of Matrices in Business
Unit 5 Introduction to Linear Programming
Introduction to Linear Programming
Geometric Approach to Linear Programming
The Simplex Method
The Smilax Method of Maximization
Minimization Using the Dual Problem
Unit 6 Mathematics of Finance
Simple and Compound Interest
Discount
Geometric Progression and Annuities
Sinking Fund
Present Value of an Annuity; Amortization
Future Value of an Annuity; Sinking Funds
Leasing, Capital Expenditure
Unit 7 Probability and its Application
Permutations and Combinations
Experiments, Sample Spaces and Events
Properties of the Probability of an Event
Conditional Probability
Expected Value
Independent Events
Bayess Formula
The Binomial Probability Model
Unit 8 The Derivatives
The Concept of a Limit
Continuous Functions
The Average Rate of Change
Formulas for Derivatives
Relative Maxima and Relative Minima
Absolute Maximum and Absolute Minimum
Application of Derivatives in Business
Unit 9 Integration
The Indefinite Integral
Integration by Substitutions
Integration by Parts
Sponsored Links
Differential Equations
The Definite Integral
Application in Geometry: Area Under a Graph
Application in Business
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