Please answer questions 1-10!

2- 12180000 PROBLEM 2 Sequola Clinic is a private hospital that has a fluetuating demand for nursing care since some days typically have higher edmissions of patient than others. Management of the Clinic is trying to set up a work schedule for full time nurses that will allow them two consecutive days off each week. Clinic can also hire part-time nurses who will work a Friday-Sunday-Monday schedule. Daily pay for a full-time nurse is $120, exeept for Saturdays and Sundays when they eam $150 and $180 respectively. Part-time nurses eam $240 per 3 -day workweek. The minimum required number of nurses on duty each day of the weck is given in tablo below. A costeminimizing model to determine the number of full-time nurses that should start their workweek each day of the week and the number of part-time nurses that should be hired is formulated and solved below. The following decision variables ere used: MON, TU, WED, TH, FB, SA,SU - the number of full-time nurses who stent 5 consecutive day shifis on Mondey, Ryesdsy, etcen, respectively Pe the number of part-time aurses who work a Friday-Sunday-Monday sehedule. Min Z=600MON+630U+690WBD+690HH+690RR+6905A+660UU+240P Subject to Cl1MON+1TR+1FR+1SA+1SU+1P>=171MON+1TU+1FR+1SA+1SU>141MON+1IU+1WED+15IS+15U>121MON+1IU+1WED+1II+1SU>=151MON+1TU+1WED+1TH+1FR+1P>221JU+1WBD+1TIR+1TR+1iSA>101WED+1TI+1IRR+1iSA+1SU+1P>15 Monday requirement Tuesday requirement Wednesday requirement Thureday requirement Fiday requirement Saturlay requirement Sunday requirement 1) What is the minimum cost of stafing the ellinic for one week? 2) How many fulletime and how many partilime nusses are required? 3) On which day of the week the minimum number of nurses required was exceeded? By how many? 4) By how much ean the wages of partetime aurses herense without their affecting the optimal solution? 5) If you could reduce edmitsions on one of the dys of the week so that this day's nusse requiremeat would be reduced, on which day should you sttempt to do in? Why? O) If you could shef edmissions from one dyy to another and thas reduce stufing requirement from one day to another, what dy's requirement yos would ettempt to reduce and what day's requirement you would attempt to increase? Expltin why. What alicet, if any, will the change hive on weckly cost? 7) If you could cut the dilly pay for those fill-time sunses who's S-day work week does not heclade cither Saturday or Sundry by $10 per day, bow would this affect the weelty cost of sthifing the clinic? Would the optimal staning sechedule change? 8) If one of the part-time aurses called in and informed the hospital that she is not able to work on Friday, but will be working her Monday and Sunday sechedule. Will the hoepitul be able to mect the daily requirement without changing the stafing sechedule? Explain why or why not How does the weekly cost change? 9) Suppose you would tike to reduce the weelty pay for bose aunses who start their 5-dey work week on Thureday and Sunday by of $20 end 510 respectively. Would this affect your optimal stafing schedule? What about the weelly cos? 10) You can reduce the weelly pay for fall-time numses by $20, but only for one type of shinit, ic. you could give this reduction to cither to all nunses who start on Mondly, or to all nusses who start on Tuesdey, ... ete., or to all numes who start on Sundry. Where should you reduce the wages then? Explain why