represent the constraints that show the availabilities of the related resources

Represent the constraints that show the

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avail. represent the constraints that show the availabilities of the related resources. Adjustable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $A$2 DRG1 10 0 2000 550 1E+30 $B$2 DRG2 50 0 1500 1500 300 $C$2 DRG3 40 0 500 150 1E+30 $D$2 DRG4 220 0 300 75 112.5 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price R.H. Side Increase Decrease $J$5 Diagnostic avail. 570 250 570 210 36 $J$8 bed-day avail. 190 0 1000 1E+30 810 $J$11 Nursing avail. 1220 0 50000 1E+30 48780 $J$14 Drugs avail. 50000 1 50000 4500 10500 $F$17 Min DRG1 10 -550 10 23.33 10 $F$20 min DRG2 50 0 15 35 1E+30 $F$23 min DRG3 40 -150 40 45 40 $F$26 min DRG4 220 0 160 60 1E+30
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(a) What is the maximum amount the hospital should be willing to pay for 10,000 extra hours of nursing? For 20,000 extra hours of nursing? (b) If the hospital discovers that it can increase its diagnostic services availability from 570 to 800 hours with a total cost of $50,000, should it implement this? (c) If the hospital’s drug availability increases from $50,000 to $54,000, will the basis change? What will be the new optimal profit? (d) Which is worse for the hospital: Losing 30 hours of its diagnostic availability or having to handle 15 more DRG1 cases? (e) If the profit of the DRG4 case increases to $350, what will be the new optimal mix of DRGs and the new maximum profit? (f) If a supplier offers the hospital an additional $5000 worth of drugs weekly at a price of $4000, should the hospital accept this offer? (g) The hospital currently has 1000 available bed days. What is the minimum value for available bed days that will result in the same basis? (h) Which is better for the hospital: Having to handle 20 less DRG3 cases or having $3500 worth of additional drugs? (i) If the profit of a DRG2 case increases to $2500, what will be the new optimal mix of DRGs and the new maximum profit?
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