Caso 1 Staffinf a Call Center

 (1) How many Spanish-speaking operators and how many English speaking operators does the hospital need to staff the call center during each 2-hour shift of the day in order to answer all calls?Please provide an integer number since half a human operator makes no sense.

Requerimiento
Horario
Inglés
Español
7AM - 9AM
6
2
9AM - 11AM
12
3
11AM - 1PM
10
3
1PM - 3PM
13
4
3PM - 5PM11
3
5PM - 7PM
5
2
7PM - 9PM
2
1

(2) Lenny needs to determine how many full-time employees who speak Spanish, full-time employees who speak English, and part time employees he should hireto begin on each shift. Creative Chaos Consultants advise him that linear programming can be used to do this in such a way as to minimize operating costs while answering all calls. Formulate a linearprogramming model of this problem.
MIN
40x1+40x2+40x3+40x4+40x5+40x6+40x7+40x8+40x9+40x10+40x11+40x12+40x13+44x14+44x15+44x16+44x17+48x18
ST
x1>=6










x1+x4+x5>=10x2+x3>=12










x2+x3+x6+x7>=13










x4+x5+x8+x17>=11










x6+x7+x17+x18>=5










x8+x18>=2










x9>=2x10+x11>=3










x9+x12+x13>=3










x10+x11+x14+x15>=4










x12+x13+x16>=3










x14+x15>=2










x16>=1
END
GIN18











(3) Obtain an optimal solution for the linear programming model formulated in question (2) to guide Lenny’s decision.






SOLUCIÓN
x1
Tiempo completo inglés, 7AMque comienza atendiendo llamadas


6
x2
Tiempo completo inglés, 7AM que comienza con papeleo


0
x3
Tiempo completo inglés, 9AM que comienza atendiendo llamadas


12
x4
Tiempo completoinglés, 9AM que comienza con papeleo


0
x5
Tiempo completo inglés, 11AM que comienza atendiendo llamadas


4
x6
Tiempo completo inglés, 11AM que comienza con papeleo


0
x7
Tiempo...