University of South Florida Simple Quantitative Methods Questions

Question Description

Assume that you are planning to go for a Medical tour to Thailand. Describe ( 200 -250 words) how you plan your trip. List atleast 6 activities involved in it. Estimate the time required to complete each activity by properly doing a research in internet. Cite the internet resources and give the references. Write the predecessor relations among the activities in a tabular form. (10 Marks)
Sulaiman is planning to take his car for regular service. The work required in servicing is divided into several activities and represented in the below table along with the time taken for each task:

ACTIVITY TASK	Activity symbol	IMMEDIATE PREDECESSORS	Duration (min)
Open the petrol tank cap	A	–	a+1
Add petrol (Paid service)	B	A	b+5
Close the petrol tank cap	C	B	d+1
Open bonnet, check and add engine oil (Paid service)	D	–	d+10
Check radiator coolant, Check battery, Close bonnet	E	D	e+8
Clean the wind shield, Check air pressure in tires	F	–	f+6
Prepare bill	G	B, E	a+e+6
Collect payment	H	G	a+b+5

Draw the network diagram and find the earliest start and latest finish time of all the activities. Also determine the total project time for which Sulaiman will stay at the service station and list out the critical activities.

(20 Marks)

3. Ali have been invited to play the Wheel of Fortune game on television. The wheel operates electronically with two buttons that produce hard (H) and soft (S) spin of the wheel. The wheel itself is divided into white (W) and red (R) half-

circle regions. The wheel is designed to stop with a probability of (??+??+??) in the white region. There is no chance 30

that the wheel will stop inbetween two regions. The payoffs of the game are:

Alternatives	States of nature
		W (R.O.)	R (R.O.)
	H	800	200
	S	-2500	1000
	Probabilities	0.3	0.7

Draw the associated decision tree and specify the course of action.

The research department of company has recommended to the marketing department to launch three varieties of biscuits. The marketing manager has to decide one of the types of Biscuit to be launched under the following estimated payoffs for various levels of sales:What will be the marketing managers decision under the following decision criterias?
1. Pessimistic criterion (4 Marks)
2. Laplace criterion (6 Marks)
The owner of a boat has estimated the following distribution of demand for a particular kind of boat.Each boat costs him (?? + ??) rials and he sells them for (2 ? ?? + 2 ? ??) rials each. Prices are given in hundreds rial units. Boats that are left unsold at the end of the season must be disposed off for (?? + ?? ? 2) rials each. How

	Estimated levels of sales
Type of Biscuit	15,000	10,000	5,000
Milk Biscuit	30	10	10
Digestive Biscuit	40	15	5
Cream Biscuit	55	20	3

No. demanded

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Probability

0.10

0.20

0.30

0.40

many should be stocked so as to maximize his expected profit?

6. Solve the following game for optimal strategy based on algebraic method.

??1 ??2 ??3

(20 Marks)

9+??

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12+??

6+??

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1???

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14+??

7+??

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