I will cash app any money you need.
1 answer:
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Answer:
9644
Explanation:
cost of paper on which a card is printed = $0.40 per card
cost of printing = $0.10 per card
profit made per card sold = $3.75
number of areas where customers are located (n)= 4
mean of customers from each region = 2300
standard deviation for each region = 200
note : each region is independent
The optimal production quantity for the card can be calculated going through these steps
first we determine
the cost of card = $0.10 + $0.40 = $0.50
selling value = $3.75
salvage value = 0
next we calculate for the z value
= ( selling value - cost of card) / ( selling price - salvage value )
= ( 3.75 - 0.50 ) / 3.75 = 0.8667
Z( 0.8667 ) = 1.110926 ( using excel formula : NORMSINV ( 0.8667 )
next we calculate
<em>u</em> = n * mean demand
= 4 * 2300 = 9200
б = = 200 * 2
= 400
Hence optimal production quantity for the card
= <em>u</em> + Z (0.8667 ) * б
= 9200 + 1.110926 * 400
= 9644.3704
≈ 9644
Answer:
a. Maximin = 19.0
b. Minimax = 17.6
c. Hurwicz ( 0.40) = Taiwan
d. Equal likelihood = Taiwan
Explanation:
Remember, we are told to: Note that since the payoff is cost, the maximax criteria becomes minimax and maximin becomes minimax
a) Maximin: Since the payoff is cost, we begin by determining the maximum cost for each alternative and then selecting the one which gives the minimum of these maximums. (minimax)
b) Minimax: Since the payoff is cost, we begin by determining the minimum cost for each alternative and then selecting the one which gives the maximum of these minimums. (maximin).
c) Hurwicz (0.40): In this method, we add and multiply each payoff value by alpha (0.4).
South Korea = 15.2 (0.4) + 21.7 (0.6) = 19.1 ( remember, in $ millions)
China = 17.6 (0.4) + 19.0 (0.6) = 18.44
Taiwan = 14.9 (0.4) + 19.2 (0.6) = 17.48
Poland = 13.8 (0.4) + 22.5 (0.6) = 19.02
Mexico = 12.5 (0.4) + 25.0 (0.6) = 20
From the values above we select the minimum outcome since the company is looking at saving cost. Which is Taiwan; having the lowest cost of $17.48 million.
d) Using the formula where P = payoffs value, n = number of events.
South Korea = 15.2 + 21.7 + 19.1 /3 = 18.66
China = 17.6 + 19.0 + 18.5 /3 = 18.36
Taiwan = 14.9 + 19.2 +17.1 /3 = 17.06
Poland = 13.8 + 22.5 + 16.8 /3 = 17.7
Mexico = 12.5 + 25.0 + 21.2 /3 = 19.56
Taiwan should be selected since it has the lowest cost of $17.06 million.