Provide the LP formulation: decision variables, objective function and contraints:

Based on the number of students dine in Deer Park Tavern, the manager determines that following number of waiters and waitresses are needed for each day of a week:

Mon	Tue	Wed	Thur	Fri	Sat	Sun
5	7	9	8	10	9	5

The manager hires full time workers (waiters or waitresses) who normally work consecutively for 5 days followed by 2 day off. Up to 30% of the total hired workers are allowed to work an extra day (6 consecutive days of work followed by a day off). The manager pays 50% more for the work done on the extra day. Assuming that all workers are equally paid (you may assume $1/day in the normal shift, $1.50/day for the extra day), formulate the problem as an LP to create a shift schedule for the manager to minimize the weekly operating cost.