MTH 101 (Final Sample)
1. A survey of 850 family houses showed that 220 own Laptops, 450 own PCs, and 130 own
both Laptops and PCs.
a. How many houses in the survey own either a Laptop or a PC?
(a) 28
132 C H A P T E R 3 Mathematics of Finance
Now using formula (2) with A = 2,539.62,P = 2,443.02, and t = £02 2 we
h 360 9
ave
A = P(1 + rt)
2,539.62 = 2,443.02(1 + gr)
= 2,443.02 + 1,357.23r
10/30/2016
Section 4.3
Gauss-Jordan Elimination
Reduced Row Echelon Form
MEMORIZE
Identify reduced row echelon form
Identify number of solutions
Be able to solve systems by Gauss-Jordan elimination.
B
Solve the following liner programming problems.
Note that the feasible regions have been determined in Section 5.2.
If the region is bounded both maximum and minimum exist.
If region is unbounded maxi
1. The cost for labor associated with fixing a washing machine is computed as
follows: There is a fixed charge of $25 for the repairman to come to the house, to
which a charge of $20 per hour is added
11/12/2016
Section 6.1
Linear Programming - Simplex Method
6.1 Geometric Introduction to the
Simplex Method
The geometric method of linear
programming from the previous
section is limited in that it i
9/18/2016
Section 2.2
Piecewise Functions
Motivation
Main Objectives (typical exam questions)
Be able to solve applications involving piecewise
functions
Note that we will only consider piecewise l
9/27/2016
Section 3.2 - Compound Interest
Compound Interest
Unlike simple interest, compound interest on an amount
accumulates at a faster rate than simple interest.
The basic idea is that after the
Solve the following graphically. Indicate if the region is bounded or unbounded and
determine the coordinates of the corner points.
Example 1:
Example 2:
Example 3:
Example 4:
1. Based on the table above, how many people are males or are heavy
smokers?
2. Based on the table above, how many people are females and are heavy
smokers?
3. Based on the table above, what is the pr
Linear Programming in Two
Dimensions: A Geometric Approach
Chapter 5
Linear Inequalities and Linear
Programming
Section 3
Linear Programming in Two Dimensions: A
Geometric Approach
In this section, we
Example 1 Find the dual
Example 2 If the final tableau of Example 1 is given
below, find the solution to Example 1.
Example 3
Find the dual
Example 4 If the final tableau of the dual in Example
3 is g
9/20/2016
Chapter 2.3 Applications
Objectives
Break-Even and Profit-Loss Analysis
Calculate the revenue function given a price function
Any business has costs and revenue
x denotes quantity
C(x) d
11/14/2016
Learning Objectives for Section 6.3
Dual Problem: Minimization with
Problem Constraints of the Form >
Initial Matrix
Consider matrix:
1 1 3 12
2 1 1 16
A
16 9 21 1
Barnett/Ziegler/Byle
9/25/2016
3.1 Simple Interest
Definitions
Basic idea: money in the future is worth more than today.
If we borrow some money today (denoted P), then we will
have to pay back more in the future (denote
Formulae
[1]
fx ax 2 bx c 0
b b 2 4ac
2a
Vertex : h, k where h b and k fh
2a
Solution : x
[2]
A P1 rt
A
P
1 rt
I Prt A P
[3]
r
i m
n mt
[4]
A P1 i n
A
P
1 i n
I AP
r
APY 1 m
m
1
[5]
A Pe rt
P Art
e
I
Systems of Linear Inequalities
in Two Variables
Chapter 5
Linear Inequalities and Linear
Programming
In this section, we will learn how to
graph linear inequalities in two
variables.
Section 1
Linear
10/14/2016
Example Commission
Solution
Example Commission
Many investment firms charge commissions on transactions based on the amount of the
transaction. Suppose that an investment firm charges 1% co
10/14/2016
Present Value of an Annuity
Present Value
Present value of an annuity represents the value of n future
payments of size PMT
Payments are made at the end of the n periods
The first paymen
8/28/2016
Section 1.2
Graphs and Lines
The Cartesian Coordinate System
Main Objectives (typical exam questions)
Be able to solve applications of linear equations
Be able to solve questions involvin
Chapter 2 Selected Homework Solutions
Exercise 2-12 and Problems 2, 3, & 7
Exercise 212 (page 94)
Requirement 1
BLUEBOY CHEESE CORPORATION
Income Statement
For the Year Ended December 31, 2018
Sales r
MTH 101 - Quiz 1
Name:
Student number:
Question 1
From collecting market data, a seller found the following information.
At a price of $1400 per diamond ring, the demand is 500 and the supply is 50.
A
MTH 101 - Quiz 2
m. SOLUTION
Student number:
Question 1 (20 points)
A shipping company charges according to the packages weight. There is a base charge of $10.
If the package weighs 20 kilograms or le
OLULT/9/L/
MTH 101 - Quiz 3
Name:
Student number:
Question 1
A real estate developer makes three kinds of houses. A small house costs $100,000 and requires 2
working days to build. A medium house cost
Math 101
Quiz 3
N ame_._ Student number
Show all work
Closed book.
Scientic calculatos allowed.
x) = at: + bx + c = 0
_ 4mm
Solution : x 7
_a
Vertex : (hJc) where h = ;_3- and k =h)
1. (Each part 4
Math 101
Quiz 6
N am_*_ Student number
Show all work!
Closed book. Alib cfw_51 Mi VG (A "
Scientic calculates allowed. TO SQIC. i F 'i' i/Q
\re Si 9 n be i o v0
1. (10 points) Maximize and minimiz
SOLMTlON
MTH 101 - Quiz 7
Name:
Student number:
Question 1 Solve the following linear system using the augmented matrix method. If there is no
solution, then state so.
:cl+2xI +3x3=6
2xI +42:z +6x3 =1