4. Clancy's Casino, in Muledeer, Nevada, is open 24 hours a day, seven days a week. Along with all the other attractions and diversion, Clancy's operates a variety of gaming tables. Dealers at these tables are interchangeable. The casino has the following daily requirements for dealers: Time Minimum # of dealers 0100 -0500 0500-0900 0900 - 1300 1300 1700 1700 - 2100 2100-0100 A dealer may start work at the beginning of any one of the six shifts and having begun, works eight consecutive hours. A. Find the employee schedule that minimizes the total number of dealers required, meeting the minimum level of each shift's requirements. B. Suppose in problem 4, Clancy's Casino pays a wage differential depending on the hours worked. In particular, between midnight and 0700, it pays dealers $16 per hour, between 0700 and 1900 $10 per hour and between 1900 and midnight $12 per hour. Modify your formulation to problem 4, and determine the minimum cost shift schedule for Clancy's. Eastern Engineering Company is trying to decide which of 6 projects to perform during the next quarter. The net present value, the estimated cost, and the number of engineers and staff personnel required for each project are given in the following table. Project Net Present Value Cost ($1000's) Engineers Staff Required ($1000's) Required 100 145 on a 200 250 500 695 475 Eastern has a $550,000 budget and 30 engineers and 15 staff available. Which projects should Eastern perform during the quarter