(27)
有教 日六廿月九年未辛麿夏
1992 中學會考預習專欄
明德出版社
MILL & DALE PRESS
Economic & Public Affair (4)
The interaction of Demand, Supply and Price
M.T. Kwok
Excess Supply.. Excess Demand
and Equilibrium
EQUILIBRIUM PRICE 15:
Effects/Illustration
The PRICE at which the quantity demanded equals the quantity supplied and there is no tendency for the Brice to change.
1. When the price is 1 P1, there is excess supply, fi.e. quantity supplied is greater than quantity Gemanded.
報日僑
六期星:日二月一十(一九九一)年十八國民華中
·日六廿月九年未
Contents
Excess
Supply, Excess!
Equilibrium
Dertand and
Price
Increase in
. Demand Only.
(Supply held constant):
Decrease. fn
Demand Only
(Supply held
constant):
Effects/llustration
2. When price is at Pz, thare is an excess demand.
(1.e quantity demanded is greater than quantity supplied)
(a) The producers would increase the price and increase
production because of greater profitability.
(b). The consumers, seeing an increase in price, would
decrease the quantity demanded.
(c) This continued until the price Po. (the equilibrium
price) is reached..
3. At the equilibrium price, the quantity demanded equals the quantity supplied. There is no tendency for the brice to change..
Conclusion: The interaction of market demsed and market
supply determines the equilibrium price.
(1) Demand curve shifting, rightward (00009;01].
(2) No change' in supply curve.
(3) Price must rise (From Po to Pƒ).
(4) Quantity traded must increase
(From Qo to Q1)
(1) Demand curve shifting-
leftward (CoD0Dqr?
{2},No change in. supply curve
(3):Price must.fall:
(From PD to P1)
(4) Quantity traded must
decrease
[From 0 to 01)
Contents
Decrease.in
Supply Only
(Demand held constant)
Increase in Both Demand
and Supply
-Decrease in both Demand and Supply
Increase in Demand and Decrease in Supply
Decrease in Demand and Increase in Supply
Changes. in Equilibrium Price, and Quantity (Summary)
Effects/lustration
(1) Supply curve shifting
leftward (Soso-511).
(2) No change in demand curvé:
(3) Prica. must Increase
(4)Quōneity traded must
decrease (pta Q;)· ́
(1).Demand curve shifting
rightward (DoD-001). (2) Supply curve shifting
rightward (Sosp~~$1$1) {3} Price Indeterminate (may
increase or decrease), {4}Quantity traded must.
Increase (90 to 91).
{1} Demand curve. shifting.
leftward (POD00101). {2} Supply curve. shifting. leftward (S0S0S157) (3):Price indeterminate (may increase or decrease)
(4) Quantity.traded must
decrease (Qg to Q1)
(1) Demand curve shifting -
rightward (DoD¤—~010;')·
(2) Supply curve shifting
(3) Price must rise Po te P)'
(4) Quantity traded
indeterminate (may increase or decrease)
(1) Demand curve: shifting
leftward (DoDo—010;) (2) Supply curve shifting
rightward (SoSo-S51): (3) Price must fall
(4) Quantity traded
Indeterminate (may Increase or decrease)
D0 increase in demand 0202: decrease in demand 51S1 increase in supply -5252: decrease in supply DoDo SoSo: original position
Sp
$1
Q1.
S
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(a) To attract consumers to buy more the
producer would lower the price.
(b) The consumers, seeing a decrease in price,
would. increase the quantity demanded.
fc) Such state of affair would continue until the
price, Po Loquilibrium price), is reached.
Po, quantity. demanded Is equal to the
.quantity supplied and there is.so tendency
for the price to. change.
find the equation
Increase in Supply Only (Demand held sonstant)
(1) Supply Curve shifting.
rightward (SoSo÷151)
(2) change in demand curve, (3)•Price'must:fall (Pg to Py) (a) Quantity trades must
increase (p to Q;).
are.
(-6)2=4(k)(3)=0
12k=36
(Ans.)
(2« - P}.and (23
ation
1992 中學會考預習專欄
*明德出版社 MILL & DALE PRESS
Mathematics (4)
7. Find the value
has
8. If the d
of the. equation
(a) The equation. is
(x-3)(x-3)=0
are a
f respectively, find
器
(a) the value of k
IANS.
Changes in Equilibrium -Price and Quantity (Summary)
(1) Uriginal Equilibrium.
52
Da B
$
14
5
(2) 1hcrease in Dermaid + Supply coristàint (Pig!) (3) Increase in Demand + Increase in Supply {Q}} (4) Demand constant + Increase in Supply (eigi) (5) Decrease in Demand increase in Supply (PI). (5) Becrease di Hemand + Supply constant (PIQI) (7) Decrease in Demand + Decrease to Supply (01) (8) Demand constant. Decrease in Supply (elgi) (9) Increase in Demand + Decrease in Supply (P)
Arisa
(b)
Multiply both sides by 6
6x2+11x10=D
(Anse)
Section B
6. Let the
4. Let'the equation. be.
x2+px+q=0
W. K. Lo
Exercise 4 Quadratic Equation (II).
Sum and Product of roots
Section A
1. one.root of the equation.4x?-8x+k=0
is 3 times of the other ront: Find.
(a) the roots, and
(b) the value of ke
2. Find the value of k if each of the.
following equation has equal roots:
(a) 3x2-6x+k=0
(b):3xt-(k-2}x+12=0
(c) kx-6x+3=0
3. Form a quadratic equation which has
roots:
(a)
and 3
(b) - and
Give your
(b) the value of a.
9. In the equation 15x7+6pu1}x-U=0, the
product of the roots exceeds the sum. of the roots by
(a) Find the value of p..
(b) SaT ve the aquation.
Solutions to exerci Section A
1.
(a) Let the roots of the
3 a.
be a
(-8)
ON
the roots are and. (Ans.)
(b) (@)(3)=
the form are
物 answer Ax2+Bx+C=0 where A, B and C integers.
4. Form an equation such that the sum of roots is. - and the product of
roots is ㄡˊ (Give your ariswer in.the.
form Ax2+Bx+C=O where A, Band Care Integers);
5. lfw, p are the roots of 2x*-5x+3=C,
find the values of
{a} {20+$}{0+2}
(b)
4
+
3xF-Bx+k=0 has equal roots
(-B)*-4(3)(k)=0
(Arns)
(b) 3xz-(k-2}x+12=0 has equal roots
(k-2)2-4(3)(12)=0°
(k-2)2=122
Multiply both sides by 2.
2x2-7x+3=0.
(D)/(x+2)(x-x)=0
PUBLIC
X?-
=
the equation is
Multiply both sides by 7
7x2-2x+5=0
20 (-6.667
7.
•2x2-7x-94-0
X(X-1)+(k+1).
(x-1)(k-1)~ ~ *
(x*-x+k+1)k=x(x-1){k-1)
-kx2-kx+k2 + k = x2x2-kx+x^
X2+x+k(k+1)=0.
(-1)2=4(1}k{k+1}=0
-4+ T-1QIC))
2(4)
0.2071
or -1.2071 (Ans.)
8.
(Ans.)
(a) The product of roots
{a)(一)
ARIES
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你有沒有考慮讓孩 應學習先修課程。 加香港區TOFLE公 讀速成班大得多門 「 美國大學試」的 電'5786127、何女士
(Ans.)
座九套,
(b) The sum of roots
-(k-4)
-(— - 4) = a +
情
̇12k=64
(a)
k= 1 (-5.333) (Ans.)
3a3-108+3-0 (3a-1)(a-3)=0
(Anse)
(2-B)(28) --22-2⋅p +508
(Ans.)
(a) The sum of roots.
−2{ œ 2+ pˆ 2)+5° 8
=-2[{+ $77-2月]+508 *=~2{ # + })2+9.«
w
-(2)
The product of roots = "
(2 + p )( a +2 μ }
=-47
»2 +508 +2 p2
p=15
(Ans.)
鼴拿
性感
K-2-12 or -12
=2{ a *+ ƒ1) +5 ag
the equation is
(b) The equation is
Section B
6. If and are roots of 2x2-7x-5=0,
馬、星、泰
.. k=14 or k=-10.. (c)•kxz-6x+3=0. has equal roots
(Ans.)
• 2 + ¿ 3 = { œ + § } 2 - 2 ×ß
**- 2x-47-0
15x+(15-1)x-8=0
- (2)2 = 21)
the required equation is
15x*+14x-8#0
(Ans.)
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