Solucion Caso Administracion Escolar

SOLUCION

a.- Modelo de Programación Lineal
Sea: Xijk
i: Area de residencia.
J: Grado de estudio
K: Escuela
Min 300x161+300x171+300x181+ 700x163+700x173+700x183 +400x262+400x272+400x282+500x263+500x273+500x283 +600x361+600x371+600x381+300x362+300x372+300x382 +200x363+200x373+200x383+200x461+200x471+200x481 +500x462+500x472+500x482+400x563+400x573+400x583+500x661+500x671+500x681+300x662+300x672+300x682
st
x161+x171+x181+x162+x172+x182+x163+x173+x183=450
x262+x272+x282+x263+x273+x283=600
x361+x371+x381+x362+x372+x382+x363+x373+x383=550
x461+x471+x481+x462+x472+x482=350
x561+x571+x581+x563+x573+x583=500
x661+x671+x681+x662+x672+x682+x663+x673+x683=450
x161+x171+x181+x361+x371+x381+x461+x471+x481+x561+x571+x581+x661+x671+x681<=900x162+x172+x182+x262+x272+x282+x362+x372+x382+x462+x472+x482+x662+x672+x682<=1100
x163+x173+x183+x263+x273+x283+x363+x373+x383+x563+x573+x583+x663+x673+x683<=1000
x161+x162+x163=144
x171+x172+x173=171
x181+x182+x183=135
x262+x263=222
x272+x273=168
x282+x283=210
x361+x362+x363=165
x371+x372+x373=176
x381+x382+x383=209
x461+x462=98
x471+x472=140
x481+x482=112
x561+x563=195x571+x573=170
x581+x583=135
x661+x662+x663=153
x671+x672+x673=126
x681+x682+x683=171
0.7x161+0.7x361+0.7x461+0.7x561+0.7x661-0.3x171-0.3x371-0.3x471 -0.3x571-0.3x671-0.3x181-0.3x381-0.3x481-0.3x581-0.3x681>=0
0.7x171+0.7x371+0.7x471+0.7x571+0.7x671-0.3x161-0.3x361-0.3x461 -0.3x561-0.3x661-0.3x181-0.3x381-0.3x481-0.3x581-0.3x681>=00.7x181+0.7x381+0.7x481+0.7x581+0.7x681-0.3x161-0.3x361-0.3x461 -0.3x561-0.3x661-0.3x171-0.3x371-0.3x471-0.3x571-0.3x671>=0
0.7x162+0.7x262+0.7x362+0.7x462+0.7x662-0.3x172-0.3x272-0.3x372 -0.3x472-0.3x672-0.3x182-0.3x282-0.3x382-0.3x482-0.3x682>=0
0.7x172+0.7x272+0.7x372+0.7x472+0.7x672-0.3x162-0.3x262-0.3x362 -0.3x462-0.3x662-0.3x182-0.3x282-0.3x382-0.3x482-0.3x682>=00.7x182+0.7x282+0.7x382+0.7x482+0.7x682-0.3x162-0.3x262-0.3x362 -0.3x462-0.3x662-0.3x172-0.3x272-0.3x372-0.3x472-0.3x672>=0
0.7x163+0.7x263+0.7x363+0.7x563+0.7x663-0.3x173-0.3x273-0.3x373 -0.3x573-0.3x673-0.3x183-0.3x283-0.3x383-0.3x583-0.3x683>=0
0.7x173+0.7x273+0.7x373+0.7x573+0.7x673-0.3x163-0.3x263-0.3x363-0.3x563-0.3x663-0.3x183-0.3x283-0.3x383-0.3x583-0.3x683>=0
0.7x183+0.7x283+0.7x383+0.7x583+0.7x683-0.3x163-0.3x263-0.3x363 -0.3x563-0.3x663-0.3x173-0.3x273-0.3x373-0.3x573-0.3x673>=0
0.65x161+0.65x361+0.65x461+0.65x561+0.65x661-0.35x171-0.35x371 -0.35x471-0.35x571-0.35x671-0.35x181-0.35x381-0.35x481-0.35x581 -0.35x681<=00.65x171+0.65x371+0.65x471+0.65x571+0.65x671-0.35x161-0.35x361 -0.35x461-0.35x561-0.35x661-0.35x181-0.35x381-0.35x481-0.35x581 -0.35x681<=0
0.65x181+0.65x381+0.65x481+0.65x581+0.65x681-0.35x161-0.35x361 -0.35x461-0.35x561-0.35x661-0.35x171-0.35x371-0.35x471-0.35x571 -0.35x671<=0
0.65x162+0.65x262+0.65x362+0.65x462+0.65x662-0.35x172-0.35x272-0.35x372-0.35x472-0.35x672-0.35x182-0.35x282-0.35x382-0.35x482 -0.35x682<=0
0.65x172+0.65x272+0.65x372+0.65x472+0.65x672-0.35x162-0.35x262 -0.35x362-0.35x462-0.35x662-0.35x182-0.35x282-0.35x382-0.35x482 -0.35x682<=0
0.65x182+0.65x282+0.65x382+0.65x482+0.65x682-0.35x162-0.35x262 -0.35x362-0.35x462-0.35x662-0.35x172-0.35x272-0.35x372-0.35x472 -0.35x672<=00.65x163+0.65x263+0.65x363+0.65x563+0.65x663-0.35x173-0.35x273 -0.35x373-0.35x573-0.35x673-0.35x183-0.35x283-0.35x383-0.35x583 -0.35x683<=0
0.65x173+0.65x273+0.65x373+0.65x573+0.65x673-0.35x163-0.35x263 -0.35x363-0.35x563-0.35x663-0.35x183-0.35x283-0.35x383-0.35x583 -0.35x683<=0
0.65x183+0.65x283+0.65x383+0.65x583+0.65x683-0.35x163-0.35x263...