UNIVERSIDAD TECNOLÓGICA AMERICANA EXAMEN: PARCIAL I
CICLO: 2015-3
FECHA: 9 DE JUNIO 2015
MATERIA: ECONOMIAA MATEMATICA II LIC.: ACTUARIA TURNO VES
CUATRIMESTRE 8VO
PROFESOR: LEOBARDO JIMÉNEZ BARROSO TIEMPO DE APLICACIÓN 2 HORAS NOMBRE DEL (LA) ALUMNO (A): VALOR TO TOTAL DE DEL EX EXAMEN 70 %
TOTAL DE DE PU PUNTOS
PUNTOS OB OBTENIDOS
CALCIFICACIÓN
56
P!"# I E$%&# $ !#'()#'" *+!!#*" #, * !#*"%.+ 1
2
3
a) 2) !) +) a) 2) !) +) a) 2) !) +)
a) 2) !) +) 5
8
9
V$+! # $ '#**%/, 1 (),"+'
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a) 2) !) +)
E, ,/# +$, *3"$'# $"$ ,#' '$!#"$' +$ 9#3a"$' 1 $3#!*#' E, ,/# +$, *3"$'# $"$ ,#' '$!#"$' +$ 3#2*$"# 1 $3#!*#' E, ,/# +$, *3"$'# $"$ ,#' '$!#"$' +$ 9#3a"$' @ $3#!*#' 1 3#2*$"#' E, ,/# +$, *3"$'# $"$ ,#' '$!#"$' +$ 9#3a"$' 1 3#2*$"# 10 E / #+$,# +$ '$!#" "*-a+# a) E, a9#""# +$ ,#' 9#3a"$' $' / $'!a$ +$, ,/# !*"!/,a" 2) La *-$"'* $' /a *1$!!* +$, 3a'# !) L#' $'!a$' #" a9#""# '# *3/a,$' a ,a' *1$!!*#$' +$ *-$"'* +) N*3/a +$ ,a' a$"*#"$' 11 S/#3a /$ $, PNB $' +$ ;500 $ / a# =@ '* $, +$,a!#" +$, PNB '$ +/,*!a a"a $, '*3/*$$ a# *$"a' /$ ,a "#+/!!* "$a, 9a a/$a+# / 0% @ ,a "#+/!!* #*a, $ $, a# '$*' $' *3/a, a : a) ;?000 2) ;=00 !) ;=000 +) ;750 12 C/a+# $, PNB #*a, $' +$ ;==00 1 $, PNB "$a, $' +$ ;=000@ $, +$,a!#" +$, PNB $' +$ a) <.0< 2) <0.<= !) =.== +) ==0 13 S* $, *3"$'# $"'#a, $' *3/a, ;570 *$"a' /$ $, */$'# '#2"$ ,a "$a $"'#a, $' +$ ;<0@ $, !#'/# $' +$ ;G0@ ,#' a3#' #" *$"$'$' '/a ;=0 1 $, a9#""# $"'#a, $' +$ ;0 $, *3"$'# +*'#*2,$ $' +$ $) ;500 a) ;>0 2) ;70 !) ;00 1 D$ ,a' '*3/*$$ a*"a!*#$' !/a, # $' !#""$!a a) PNN $#' */$'#' +*"$!#' $' *3/a,a a, *3"$'# a!*#a, 2) PNN a' a'*3a!*#$' #" !#'/# +$ !a*a, $' *3/a, a PNB !) La *-$"'* 2"/a $' *3/a, a *-$"'* $a a' +$"$!*a!* +) I3"$'# $"'#a, $' *3/a, a, *3"$'# $"'#a, +*'#*2,$ a' */$'#' +*"$!#' 15 E / #+$,# +$ "$' '$!#"$' a) E, a9#""# +$ ,#' 9#3a"$' '*$"$ $' *3/a, a ,a *-$"'* 2"/a 2) E, a9#""# +$ ,#' 9#3a"$' '*$"$ $' *3/a, a ,a *-$"'* $a !) E, a9#""# +$ ,#' 9#3a"$' ' ,a +$"$!*a!* '*$"$ $' *3/a, a ,a *-$"'* 2"/a ' 3a'#' +$, 3#2*$"# +) E, a9#""# +$ ,#' 9#3a"$' ' ,a +$"$!*a!* '*$"$ $' *3/a, a ,a *-$"'* $a ' 3a'#' +$, 3#2*$"#. 1 E / #+$,# $ $, /$ $*'$ '$!#"$' +$ 9#3a"$'@ $3#!*#'@ 3#2*$"#@ 1 +$, $"a$"# $, PNB $' ,a '/a +$: a) C#'/#@ *-$"'* 2"/a@ 3a'# +$, 3#2*$"# $ $"!a!&a' 1 '$"-*!*#' 1 $#"a!*#$' $a' 2) C#'/#@ *-$"'* $a@ 3a'# +$, 3#2*$"# $ $"!a!&a' 1 '$"-*!*#' 1 $#"a!*#$' $a' !) C#'/#@ *-$"'* 2"/a@ 3a'# +$, 3#2*$"# $ $"!a!&a' 1 '$"-*!*#' 1 $#"a!*#$' 2"/a' +) Sa,a"*#' @ a,/*,$"$'@ *$"$'$' 3aa!*a' 1 +$"$!*a!* P!"# II C+,"#'" * !#*"%.+ #, 4+! *$! 6 (!#*%' 1
V$+! # $ '#**%/, 20 (),"+'
E,*/$ 1 +*'*3a $"$ PNB "$a, 1 PNB #*a,: PNB "$a *+$ $ -a,#" #a, +$ a' $"!a!&a' *a,$' "#+/!*+a' #" /a $!##&a +/"a$ / a# @ *$"a' $ PNB #*a, *!,/1$ ,#' $$!#' +$ ,#' !a2*#' $ "$!*#' (*,a!*) 18 /$ $' $, &+*!$ +$ "$!*#': $ ,a "$,a!* $"$ ,#' "$!*#' +$ +#' $"*#+#' #a+# a /# +$ $,,#' !## 2a'$ 1 *+$ $, a/$# # +$ !"$!**$# #"!$/a, 19 /$ *+$ $, +$,a!#" +$, PNB: $' / &+*!$ +$ "$!*#' +$$"*a+# #" $, !#!*$$ +$ PNB #*a, 1 $, PNB "$a, @ $' ,a $+*!* +$ ,#' "$!*#' +$ ,a "#+/!!* a3"$3a+a
20 21 22 23 2
25
C/, '$" ,a "$,a!* $"$ $,$# +$, "a2a# 1 PNB "$a,: /$ $*'$ "#+/!!* !/a+# '$ $,$a ,#' "$!/"'#' a a1#" $,$# a1#" *-$, +$ PNB C/, '$" ,a "$,a!* $"$ ,a a'a +$ !"$!**$# $ $, PNB 1 ,a a'a +$ +$'$,$#: D$2$"&a $*'*" $#' +$'$,$# a a1#" *-$, +$ "#+/!!* $' +$!*" 9a1 /a "$,a!* *-$"'a$$ "##"!*#a, /$ $' / !*!,# $!#*!#: '# ,/!/a!*#$' "$$**-a $"# # $"*+*!a' /$ #!/""$ a,"$+$+#" +$ ,a $$!*a '$!/,a" +$, PNB /$ $' ,a #,&*!a +$ $'a2*,*8a!*: '# a!!*#$' #a+a' #" $, 3#2*$"# a"a "#+/!*" / !9#/$ '#2"$ ,a +$a+a a3"$3a+a !# $, * +$ #+$"a" ,a' a'$' +$ $a'* 1 !#"a!!* +$ ,#' !*!,#' $!#*!#' P#,&*!a #$a"*a 1 *'!a,: $' $'a2*,*8a" ,a a!*-*+a+ $!#*!a $+*a$ $, !#"#, +$ ,a #$"a 1 ,a +$a+a +$ +*$"# # +$ *-$, +$ ,a a'a +$ *$"' *$"a' ,a *'!a, /*,*8a a"a ,#' *'# #2$*-#' ,#' !a2*#' $ ,a a'a' +$ *$"' # 3a'#' 3/2$"a$a,$'
E*'$ /a +*$"$!*a $"$ /a 3"a*!a@ /a !/"-a 1 /a $!/a!*J N# 1a /$ '# #"a' a,$"a' +$ "$"$'$a" ,a' "$,a!* $"$ ,a' -a"*a2,$' 2 R$a,*!$ / a,*'*' +$ ,a $!/a!* C = 100 + 0.89Yd *+$ $, !#'/# $ "$,a!* a, *3"$'# +*'#*2,$@ =00 "$"$'$a #"#' a!#"$' !#'a$' 1 0.>< $, !a2*# +$ !##"a*$# $"$ $, *3"$'# 1 $, !#'/#
P!"# III R#')#$.# * (!+7$# #, 4+! +!#, 2
V$+! # $ '#**%/, 20 (),"+'
E / #+$,# +$ +#' '$!#"$' (9#3a"$' 1 $3#!*#') '/#3a /$ ,#' 9#3a"$' "$!*2$ +$ ,#' $3#!*#' ,a '*3/*$$ "$/$"a!*: 'a,a"*#';5?0@ *$"$'$' ;G0@ a,/*,$"$' ;=0@ 3aa!*a' ;>0@ $, 3a'# +$ !#'/# $' +$ ;550 1 ,a *-$"'* +$, $3#!*# $' +$ ;<0. D$$"*$: a) E, -a,#" +$ $"!a+# +$ ,a "#+/!!* 1 +$, a9#""# +$ ,#' 9#3a"$' alor de ercado = 640 = salarios
+
al'"iler + ga!a!cia
520 + &0 + 10 + 80 = 640 % 640 = gas#o de co!s"o + i!ersio! de !egocio 550 + 90 = 640 el ahorro de los hogares es 90 = gas#o de co!s"o e!os de los 640 recibidod por los hogares 640 - 550 = 90
2) C/a, $' ,a "$,a!* $"$ a9#""# $ *-$"'* #a!#o el ahorro coo la i!ersio! so! ig"ales a $90, sipre se c"ple e! es#e #ipo de odelos, (a '"e el escape por harro es ig"al a las i!(eccio!es por gas#oss
28
S$ *$$ ,#' +a#' +$ !#'/# +$ !/a"# 9#3a"$': hogar A A B C D
función de consumo C = 100 + 0.89Yd
C = 90 + 0.5Yd C = 100 + 0.95Yd
C = 60 + 0.0Yd
D$$"*a ,a /!* +$ !#'/# a3"$3a+# a) L#' 9#3a"$' A 1 B *$$ "$' -$!$' $, *-$, +$ *3"$'# /$ C 1 D 2) E, 9#3a" A *$$ 5 -$!$' $, *-$, +$ *3"$'# /$ C 1 C 1 B '#,# ,a *a+ +$ D C = (100 + 90 + 100 + 6 ) +
a) C = ( 296 ) +
& * .95 + & * .0 + .95 + .0 Yd 4
6.6 Yd = 296 + 1.65Yd 4
C = (100 + 90 + 100 + 6 ) +
2) C = ( 296 ) +
29
5 * .95 + .5 * .0 + .5 * .0 + .0 Yd 4
6.15 Yd = 296 + 1.5&Yd 4
S$ *$$ a"&!/,#' 1 $, "$3*'"# +$ "$!*#' 1 !a*+a+$' $ +#' $"*#+#' Articulo
1 2 3 4
Precio
Cantidades
2000
2005
2000
2005
2.5 3.25 4.75 2.75
3.7 6 5.5 5
124750 95680 10080 138005
195830 110000 34060 178080
D$$"*a" ,#' &+*!$' +$ "$!*# 1 !a*+a+ +$ a) La'$1"$' 2) Paa'!9$ !) F*'9$"
30
S/3a'$ ,a '*3/*$$ *#"a!* "$$"$$ a /a $!##&a /$ "#+/!$ aa' a3/a!a$ 1 !$2#,,a
2008
2010
2012
a)
Canidad !recio "niario #a#as 300 14 aguacae 800 17.5 ce$o%%a 500 3.50 #a#as 450 16 aguacae 750 25 ce$o%%a 450 4.5 #a#as 500 18 aguacae 850 35 ce$o%%a 600 7
Ca,!/,a" $, PIB #*a, +$ !a+a a#@ $, PIB "$a, !# 2a'$ $ $, a# ?00> 1 $, D$,a!#" +$, PIB $ !a+a a#. + o2008 = &00 *14 + 800 *1.5 + 500 * &.5 = 19950 + o2010 = 450 *16 + 50 * 25 + 450 * 4.5 = 295 + o2012 = 500 *18 + 850 * &5 + 600 * = 42950 +/eal2008 = &00 *14 + 800 *1.5 + 500 * &.5 = 19950 +/eal2010 = 450 *14 + 50 *1.5 + 450 * &.5 = 21000 +/eal2012 = 500 *14 + 850 *1.5 + 600 * &.5 = 2&95
19950 x100 = 100 19950 295 e 2010 = x100 = 1&& .214 21000 42950 e 2012 = x100 = 19 .14 2&95 e 2008 =
2)
KC/# 9a !"$!*+# $ "*#' "$a,$' $'a $!##&a $"$ $, ?00> 1 $, ?0=?J Creciie!#o 2008- 2012 =
!)
2&95 − 19950 19950
*100 = 20.1
KC/# 9a !"$!*+# !a+a a#J I$""$a ,#' "$'/,a+#'. Creciie!#o 2008- 2010 =
21000 − 19950
*100 = 5.26 19950 2&95 − 21000 Creciie!#o 2010 - 20012 = *100 = 14.16 21000
+)
D$$"*a" $, IPC a"a $, $"*#+# ?00>?0=?. C#'*+$"a" ?00> !## a# 2a'$.
7as#o #o#al a6o base 19950 proporcio! papas = 0.2105 19950
→
100
4200 → 3 ag"aca#e = 0.)01) 19950
→
100
14000
→
3
cebollas = 0.08)) 19950 → 100 1)50
→
3
+C2012 =
∑
θ
18 &5 *100 = 184.95 + 100 = 0.2105 + 0.01 + 0.08 14 1.5 &.50 Pi0
P i1
