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Direction: Read, Analyze and calculate what are required. Mary is considering the possibility of opening a small dress shop on Avenue, a few blocks from

Direction: Read, Analyze and calculate what are required.

Mary is considering the possibility of opening a small dress shop on Avenue, a few blocks from the university. She has located a good mall that attracts students. Her options are to open a small shop, a medium-sized shop, or no shop at all. The market for a dress shop can be good, average, or bad. The probabilities for these three possibilities are 0.2 for a good market, 0.3 for an average market, and 0.5 for a bad market. The net profit or loss for the medium-sized and small shops for the various market conditions are given in the following table. Building no shop at all yields no loss and no gain.

Alternative

Good Market

Average Market

Bad Market

Small shop

70,000

80,000

-20,000

Medium Sized shop

65,000

55,000

-45,000

No shop

0

0

0

  1. Calculate the EMV criterion (4Marks)
  2. Prepare the EVPI. (4 Marks)
  3. Develop the opportunity loss table for this situation. What decisions would be made using the minimum EOL criterion? (7 Marks)

PART 2. QUEUES. (15 Marks)

Direction: Read, Analyze and Calculate what required.

ABC Furniture store gets an average of 150 customers per shift. The manager of ABC wants to calculate whether she should hire 1, 2, 3, or 4 salespeople. She has determined that average waiting times will be 8 hours with 1 salesperson, 7 hours with 2 salespeople, 6 hours with 3 salespeople, and 5 hours with 4 salespeople. She has estimated the cost per hour

that customers wait at $ 9. The cost per salesperson per shift (including benefits) is $140.

Number of Sales people

1

2

3

4

(a)Average number of customers per shift

(b) Average waiting time per customer (hours)

(c) Total waiting time per shift (hours)

(d) Cost per hour of waiting time (estimated)

(e) Value of lost time per shift

(f) Salary cost per shift

(g) Total cost per shift

  1. Calculate the total waiting time per shift, value of lost time per shift, Salary cost per shift and total cost per shift ( 14 X 1mark = 14 Marks)
  2. Use the queues model to determine the number of salespeople should be hired (1 Mark)

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