You are required to plan the weekly schedule for a medical clinic. The clinic works $7$ days a

week, in three shifts; first shift is between $08$:$00$ AM$-4$:$00$ PM$,$ the second between $4$:$00$ PM$12$:$00$ AM and the third between $12$:$00$ AM and $08$:$00$ AM$.$ The experiences and the wages of

the $10$ employees are given in Table $1.$ In the first shift $(08$:$00$ AM$-4$:$00$ PM$),$ at least one

employee with minimum $3$ years of experience should be present. In the second shift $(12$:$00$

AM and $08$:$00$ AM$)$ at least one employee with minimum $5$ years of experience should be

present. In each shift, at least two employees should be working.