Chapter 2An Introduction to Linear Programming
MULTIPLE CHOICE
1. The maximization or minimization of a quantity is the
a. goal of management science.
b. decision for decision analysis.
c. constraint of operations research.
d. objective of linear programm
EX 4: MATHEMATICAL MODELLING: Linear Regression (on Cale):
The following table gives the data of retail sales of prescription drugs for certain years. Model the data
with a linear function, using linear regression on your calculator. Estimate the total sa
MATH 140 1.1 Introduction to Graphing
A: LINEAR FUNCTIONS:
and
EX: 3): + 2y = 6 a) Graph >
X
0 5 (5-;mme)
L O . b) IS pt. (1;4) on the line?
(x.Maur*)cl.got_ 30,) +2) I No
@ 5 351, J
c) Pt. (1;k) is on the line. Find In
5('3+?»CK)=~6
2K 2 3
l; 371.
DISTAN
GRAPHING CALCULATOR
To graph a function:
0 Enter mction y z
0 Set Window :
0 Trace > use to locate a point if x- coordinate is given
0 Xintercept(s)/ Zeros: y2 = 0 enter and use
intersection key
o Intersections of functions
0 Max / Min Value:
EX 1: Give
1.2 FUNCTIONS AND GRAPHS
FUNCTIONS
H: I) A chircalgc rchhauskc'fg MM 'a 74:7,3V7
IIW Vd/ux/ (K 3 John}. )3 @2139 Malt 014 (011/7 0W6)
We Value, Cy) . rave)
Functions can be expressed as:
L awn/) Jive-1+3 2_ 1:2»
X 5 l
3. #av Aces . 4. Wale; an/u; 7/m/
I 7
CHECK UP:
1. Find the length of AB, with A (8, -5) and B{-2, 4) . Express answer to two decimal places.
5145 90674. (AW .- g/ m i ; v.82
2? 25
2. Find the equation of the circle in which a diameter has endpoints A (8, ~5) and B(2, 4). n/
(Same points
TWO MORE FORMULAS
The General Form of the linear function:
PRACTICE:
Rewrite the following functions in general form:
y=-:-x+4
3g; 3:] : 2x+|z
QXIBJ : ~41
6?"
"
vaad +\2 r 0
TWO SPECIAL CASES:
b constant function
Ly
Slope:
mMyietm 47+8J;C
5 P05 7; '4,
Owgcg lob-I)+(§~DT& -MOLLL .
: S3 l v
4. Find the Equation of the circle with CENTRE: (~6;5) , and the circle passes through the point: (1;7) .
l 1 g z
Lx¢®>+(jvsy:g3_' (ad:
5. Given the points: A( -7 , -5) and B( 3 , -9)
a) Find the length of AB . Leave