Daniel's Barber Shop at Newark Airport is open $7$ days a week but has fluctuating demand. Daniel Ball is interested in treating his barbers as well as he can with steady work and preferably $5$ days of work with two consecutive days off. His analysis of his staffing needs resulted in the following plan.$$

Daily Staffing Requirement

Day

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

Staff Required

Schedule$$ Daniel's staff with the minimum number of barbers. If a barber works more than $3$ days per$$ week, he needs to be counted as full time.

Part $2$

Number of$$ full$-$time barbers needed$($ensuring that each of them does get two consecutive days$$ off$)=$

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