4.4 Do problem 3 parts c (construct payoff table) and e (converting payoff table
ID: 3265547 • Letter: 4
Question
4.4 Do problem 3 parts c (construct payoff table) and e (converting payoff table to opportunity table) in page 671 (10 pts) Converting the payoff table to opportunity loss (OL) table Refer Table 3 or Table 4 in pages 670-1 of textbook For the Payoff table (Table 3) You may think this way AT: Gradual A2 Concentrated -5 10 E2: High demand . if in Low demand, E1, you will choose gradual alternative and profit is 1, OL of gradual action is 0, but OL of the Concentrated alternative is 6, because you lose 5 in fact you could make 1, so the amount of regret(OL) is 6 OL-largest payoff in the line (event)-the payoff of the cell If in High demand. E2, you will choose Concentrated, OL is 0, for Gradual OL= · 10-4=6 Key is to think in one event i.e. low demand at a time and move to next event i.e. high demand The Opportunity Loss table is: :Grac A2 Concentrated ET:Tow demand E2: High demand 6 (104) 0Explanation / Answer
Solution:
If a small factory has a capacity of 50,000 and a cost of $200,000, then the profit for various levels of demand can be calculated. If demand is 10,000, payoff will be as follows:
Payoff = Revenue -Cost
= Quantity *Price -Cost
= 10000*10 - 200000
= -100000
Similarly, if demand is 20,000, payoff will be as follows:
Payoff = 20000*10 - 200000
= 0
Then, if demand is 50,000
Payoff = 50000*10 - 200000
= 300000
If demand is 100,000 the factory will still only be able to supplu 50,000, so the payoff will be 300000.
b) If a small factory has a capacity of 100,000 and a cost of $400,000, then the profit for various levels of demand can be calculated. If demand is 10,000, payoff will be as follows:
Payoff = Revenue -Cost
= Quantity *Price -Cost
= 10000*10 - 400000
= -300000
Similarly, if demand is 20,000, payoff will be as follows:
Payoff = 20000*10 - 400000
= -200000
Then, if demand is 50,000
Payoff = 50000*10 - 400000
= 100000
If demand is 100,000
Payoff = 100000*10 - 400000
= 600000
c) The payoff possibilities found in a and b into the following payoff table:
Payoff Table:
small Factory Large Factory
10,000 -100000 -300000
20,000 0 -200000
50,000 300000 100000
100,000 300,000 600,000
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