Answers to 2nd Exam
Economics 130
1st Sem, 2011-2012
8/25/2011
Tirso Paris, UPLB
1.
a.
Find dy/dx or dy/dt
15 pts
5 pts each
y 8(11x 2 7)13
y 8u13
dy dy du
104u12 (22 x)
dx du dx
2288 x (11x 2 7)12
where u 11x 2 7
1.
Find dy/dx or dy/dt
b.
15 pts - tota
Economics 130 1st Sem. 2011-12
Elements of Mathematical Economics
Exercise 6 - ANSWERS
1.
Production function: Q 1000 80 L 0.5 L2 ,
P 40, PL 80
Profit Total Revenue - Total Cost
P Q PL L 40(1000 80 L 0.5L2 ) 80 L
d
dL
40(80 L) 80 0
3200 40 L 80
40 L 320
Economics 130
Elements of Mathematical Economics
Third Examination ANSWERS
October 4, 2011
1.
2
2
Find the extreme value(s) of the following function: z x xy y 5 . Test whether
these are minimum or maximum.
z x 2 xy y 2 5
zx 2 x y 0
x 0, y 0, z 5
z y x 2
Economics 130 1st Sem 2011-12
Elements of Mathematical Economics
Exercise 7 - ANSWERS
Prepared by Tirso B. Paris
Dept. of Economics, CEM, UP Los Banos
1. Find the extreme value(s) of the following function:
Test whether these are minimum or maximum.
a)
z
Economics 130 1st Sem 2011-12
Elements of Mathematical Economics
Exercise 8 - ANSWERS
Prepared by Tirso B. Paris
Dept. of Economics, CEM, UP Los Banos
1.
Z 10 y 2 xy (50 2 x y )
Z 50 2 x y 0
Z x 2 y 2 0
you may eliminate then solve for
Z y 10 2 x 0
or
x 5
In 2002, there were three female soldiers who died in their cots of
dehydration in Iraq, because they would not drink liquids at night for
fear of being raped by their fellow soldiers on the way to the latrines,
and their screams for help would not be hea
The balloon-blowers and bell-ringers hate Clinton more than they
love anybody on the Republican side, so its just the thing to shore
up Trumps support going into the summer. But in the general it
will turn out housewives and grandmothers against him, ever