Dashboard System and
BSC Game
Rizky Fauzia
Syndicate 2
29113344
Nadya Firstyani M
29113374
La Ode M. Idrus
29113483
Delfi Kusumawardani
29113545
Specification of System
KPI :
Machine technology
R&D Speed
Quality of Raw Material
Lead Time
Number of Total
Figure 10: How fast can it go?
said to be exact. An exact differential mdx + ndy is one that can be written
as df = fx dx + fy dy for some function f (x, y). That is, it is associated with a
gradient vector field f = fx~ + fy~. [Associated in this sense:
A main point discovered: that expression for heat added is not a differential of any
function of T and V . This was so important that they even made a special symbol
for the heat added: d/Q which survives to this day in some books.
P RACTICE : Using simpl
dT = 0 and for the other part, dS = 0. Since it is possible to relate the V changes
to the mechanical work of the engine, that allows a computation to proceed. He
worked out how fast that ideal train can go. Youll have to read about it in your
thermo book
x(t0 ) = x0
Choose a stepsize h and look at the points t1 = t0 + h, t2 = t0 + 2h, etc. We
plan to calculate values xn which are intended to approximate the true values of
the solution x(tn ) at those times. The method relies on knowing the denition of
the
E XAMPLE : Well estimate some cube roots by starting with a differential
equation for x(t) = t1/3 . Then x(1) = 1 and x (t) = 1 t2/3 . These give
3
the differential equation
1
x = 2
3x
h
Then Eulers method says xn+1 = xn + 3xn 2 , and we will use x0 = 1,
0.4
0.35
0.3
0.25
0.2
0.15
0.1
0.05
0
10
20
30
40
50
60
Figure 11: You can see the seasonal variation plainly, and there appears to be a trend to
level off. This is a dangerous disease, apparently.
This implies that
x1 = (1 + h)x0 = 1 + h
x2 = (1 + h)x1 =
The prototype for todays subject is x00 = x. You know the solutions to this already, though you may not realize it. Think about the functions and derivatives you
know from calculus. In fact, here is a good method for any differential equation,
not just th
MGT 491- Quiz 4
Chapter 7 Review Questions
1. Some advantages associated with a firms expansion into international markets are: Increase
the market size as well as revenue by branching off to different locations, enhancing the product
growth, and the adva
p = p+340260*sign(t6)
600
500
p
400
300
200
100
0
0
2
4
6
8
10
12
t
Figure 8: A pizza at temperature p(t) heats and then cools. (k = 1 here.) To change the
environment from 600 degrees to 80 degrees at time 6 the equation p0 = (p E) was
written as
p0 = p
function dirf(x1,x2,t1,t2,x0)
% make a direction field for x= ef(x,t) in rectangle [t1,t2] by [x1,x2]
% and compute a solution with initial value x(t1) = x0.
tmarks = linspace(t1,t2,16);
marklg = (t2-t1)/32;
xlong = (x2-x1)/32;
xmarks = linspace(x1,x2,16)
CINEPLEX ENTERTAINMENT :
THE LOYALTY PROGRAM
Rizky Fauzia - 29113344
Nadya Firstyani - 29113374
Laode M. Idrus - 29113483
Delfi Kusumawardhani - 29113545
Company Background
Founded
in 1979
64%
Market
Share
Under the direction of
40 M
visitor
per year
SWO
Try
w(x, t) = f (x 3t)
where we wont specify the function f yet. Without specifying f any further, we
cant find the derivatives we need in any literal sense, but can apply the chain rule
anyway. The intention here is that f ought to be a function of one v
14. What does the initial value w(x, 0) look like in Problem 13, if you graph it as a function
of x?
15. Sketch the profile of the dune shapes w(x, 1) and w(x, 2) in Problem 13. What is
happening? Which way is the wind blowing? What is the velocity of the
number is not defined. However, we emphasize that the main point is to check any
formulas found by such manipulations. So lets check it:
y0 =
a2 c1 eat
(1 + c1 eat )2
We must compare this expression to
ay y 2 =
at ) 1
a2
a2
2 (1 + c1 e
=
a
1 + c1 eat (1 +
We remind you that the partial derivative of a function of several variables is defined to mean that the derivative is constructed by holding all other variables conf
f
stant. For example, if f (x, t) = x2 tcos(t) then
= 2xt and
= x2 +sin(t).
x
t
F UNDAME
Figure 5: A slope eld for the Logistic Equation. Note that solutions starting near 0 have
about the same shape as exponentials until they get near a.
For simplicity we now dispense with the .01, and for exibility introduce a parameter a, and consider the
21. Census data for 1810, 1820, and 1830 show populations of 7.2, 9.6, and 12.8 million.
Trying those as in Problem 19, it turned out that I couldnt fit the numbers due to the
numerical coincidence that
(7.2)(12.8) = (9.6)2 .
That is why I switched to the
x = x*(1x)
2
1.5
x
1
0.5
0
0.5
1
2
0
2
4
6
8
10
t
Figure 6: The slope field and several solutions for the Logistic Equation. Question: Do
these curves really run into each other? Read the Fundamental Theorem again if youre
not sure.
http:/math.rice.edu/df
Case Study: Heineken
Background:
Heineken was established in 1864 in Amsterdam by Gerald Heineken. Three generations of the
Heineken family have built and expanded the brand worldwide. It is the 4 th largest brewery in
the world and it is sold to 170 coun