Problem P 6-16
A hospital is planning an $8 million addition to its existing facility. The architect has been asked to consider the following design parameters: (1) There should be at least 10 and no more than 20 intensive care unit (ICU) rooms; (2) there should be at least 10 and no more than 20 cardiac care unit (CCU) rooms; (3) there should be no more than 50 double rooms; (4) there should be at least 35 single rooms; and (5) all patient rooms should fit inside the allotted 40,000-square-foot space (not including hallways). The following table summarizes the relevant room data:
SINGLE DOUBLE ICU CCU
Cost per room to build and furnish ($thousands) $45 $54 $110 $104
Minimum square feet required 300 360 320 340
Profit per room per month ($thousands) $21 $28 $ 48 $ 41
How many rooms of each type should the architect include in the new hospital design?
Problem P 6-30
6-30 Sandy Edge is president of Edge File Works, a firm that manufactures two types of metal file cabinets. The demand for the two-drawer model is 650 cabinets per week; demand for the three- drawer cabinet is 400 per week. Edge has a weekly operating capacity of 1,600 hours, with the two- drawer cabinet taking 1.5 hours to produce and the three-drawer cabinet requiring 2 hours. Each two-drawer model sold yields a $12 profit, and the profit for the three-drawer model is $14. Edge has listed the following goals, in rank order:
Rank 1: Attain a profit as close to $12,000 as possible each week.
Rank 2: Avoid underutilization of the firm's production capacity.
Rank 3: Sell as many two- and three-drawer cabinets as the demand indicates.
Set up and solve this problem as a goal programming model.
Problem 7-18
7-18 A plant engineering group needs to set up an assembly line to produce a new product. The table in the next column describes the relationships between the activities that need to be completed for this product to be manufactured.
(a) Develop a project network for this problem.
(b) Determine the expected duration and variance for each activity.
(c) Determine the EST, EFT, LST, LFT, and slack for each activity. Also determine the total project completion time and the critical path(s).
(d) Determine the probability that the project will be completed in less than 34 days.
(e) Determine the probability that the project will take more than 29 days.
ACTIVITY DAYS IMMEDIATE
PREDECESSORSa m b
Problem 7-18
Activity Pred Optim time (a) Most likely time (m) Pessim time (b) Expected time Variance Standard deviation EST EFT LST LFT Slack Critical?
0.00 0.00 0.00 0.00 0.00 Y
0.00 0.00 0.00 0.00 0.00 Y
Critical path =
Project length = 0.00 days
Project variance = 0.00
Project std deviation = 0.00 days
P(Finish < = 34 days) = #NUM! P(Finish >= 29 days) = #NUM!