location factors and ratings

Make sure to show all your work to get full credit. The instructor needs to know the formulas and calculations you used to get to your final answer. You can do part of the exam in Excel and Paste your Excel work into this document.
Problem 1.
Arsenal Electronics is going to construct a new $1.2 billion semiconductor plant and has selected four towns in the Midwest as potential sites. The important location factors and ratings for each town are as follows:
Scores (0 to 100)
Location Factor   Weight   Abbeton   Bayside   Cane Creek   Dunnville
Work ethics   0.18   80   90   70   75
Quality of life   0.16   75   85   95   90
Labor laws/unionization   0.12   90   60   60   70
Infrastructure   0.10   60   50   60   70
Education   0.08   80   90   85   95
Labor skill and education   0.07   75   65   70   80
Cost of living   0.06   70   80   85   75
Taxes   0.05   65   70   55   60
Incentive package   0.05   90   95   70   80
Government regulations   0.03   40   50   65   55
Environmental regulations   0.03   65   60   70   80
Transportation   0.03   90   80   95   80
Space for expansion   0.02   90   95   90   90
Urban proximity   0.02   60   90   70   80

Recommend a site based on these location factors and ratings.
Answer 1:

Problem 2.
Sawyer Furniture is one of the few remaining domestic manufacturers of wood furniture. In the current competitive environment, cost containment is the key to its continued survival. Demand for furniture follows a seasonal demand pattern with increased sales in the summer and fall months, culminating with peak demand in November.
The cost of production is $16 per unit for regular production, $24 for overtime, and $33 for subcontracting. Hiring and firing costs are $500 per worker. Inventory holding costs are $20 per unit per month. There is no beginning inventory. Ten workers are currently employed. Each worker can produce 50 pieces of furniture per month. Overtime cannot exceed regular production. Given the following demand data, use Excel Solver to design an aggregate production plan for Sawyer Furniture that will meet demand at the lowest possible cost.
Input:   Beg. Wkrs   10   Regular   $16   Hiring   $500
Units/wkr   50   Overtime   $24   Firing   $500
Beg. Inv.   0   Subk   $33   Inventory   $20
Month   Demand   Reg   OT   Subk   Inv   #Wkrs   #Hired   #Fired
Jan   500   500   0   0   0   10   0   0
Feb   500   500   0   0   0   10   0   0
Mar   1000   1,000   0   0   0   20   10   0
Apr   1200   1,000   200   0   0   20   0   0
May   2000   1,000   1,000   0   0   20   0   0
Jun   400   400   0   0   0   8   0   12
Jul   400   400   0   0   0   8   0   0
Aug   1000   1,000   0   0   0   20   12   0
Sep   1000   1,000   0   0   0   20   0   0
Oct   1500   1,500   0   0   0   30   10   0
Nov   7000   3,500   3,500   0   0   70   40   0
Dec   500   500   0   0   0   10   0   60
Total   17,000   12,300   4,700   0   0   246   72   72
Answer 2:

Problem 3.
Complete the following MRP matrix for Item X. Determine when orders should be released and the size of those orders.
Item: X   LLC: 0   Period
Lot Size: Min 50   LT: 2   1   2   3   4   5   6   7   8
Gross Requirements      25   30   56   25   100   40   30   20
Scheduled Receipts         50
Projected on Hand   30
Net Requirements
Planned Order Receipts
Planned Order Releases
Release orders in periods 1 through 5 for quantities of 50, 50, 56, 50, and 50 respectively.
Answer 3:

Problem 4.
Fibrous Incorporated makes products from rough tree fibers. Its product line consists of five items processed through one of five machines. The machines are not identical, and some products are better suited to some machines. Given the following production time in minutes per unit, determine an optimal assignment of product to machine:
Machine
Product   A   B   C   D   E
1   17   10   15   16   20
2   12   9   16   9   14
3   11   16   14   15   12
4   14   10   10   18   17
5   13   12   9   15   11

Answer 4:

Problem 5.
The following probabilistic activity time estimates are for a CPM/PERT network.
Time Estimates (days)      Time Estimates (days)
Activity   a   m   b   Activity   a   m   b
1   1   2   6   7   1   1.5   2
2   1   3   5   8   1   3   5
3   3   5   10   9   1   1   5
4   3   6   14   10   2   4   9
5   2   4   9   11   1   2   3
6   2   3   7   12   1   1   1
Determine the following:
a.   Expected activity times
b.   Earliest start and finish times
c.   Latest start and finish times
d.   Activity Slack
e.   Critical Path
Expected Project duration and standard deviation.
Answer 5: