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3 years ago

N industry consists of three firms with sales of $360,000, $650,000, and $265,000.

Business

1 answer:

Yanka [14]3 years ago

5 0

These three together form total market, so here we have to add up everything to know volume of the market

A+B+C = 1,275,000 is the total market

Then we have to calculate individual market share

which would eb 1) 28.2%, 2) 50.9%, 3) 20.8%

This can be calcualated by simple percetage calculation. ( 1275000-360000/1275000*100)-100 will give what share each has.

Then we apply HHI formula

HHI = s1^2 + s2^2 + s3^2 + ... + sn^2

HHi is nothing but squaring of each of the percentages and adding them up

(28.2)2 +(50.9)2 +(20.8)2

812+2590+432 = 3834

HHI of 3834 shows it is highly competitve market.

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Given data: One flight with total seats = 100

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Discount fare passengers, cost per ticket=$100, mean=88 passengers, SD=44

(a) Here, though there is a hint to use the CDF, since the confidence interval is not given we will make some simplying assumptions that will reduce the complexity of the question, of course keeping the question statistically correct.

this question wants us to maximize total revenue per flight (one way), we can do that by taking only full fare passengers or total revenue will be 150*100=$15,000, but since historical probability shows a mean of 56 with a standard deviation of 23, we can assume in best case scenario total full fare ticket passengers will be 56+23=79, leaving 21 tickets for discount passenger, in this case the total revenues will be 79*150+21*100=$13,950

(b) Now, the new constrained policy is giving a clear cut number of seats to each category of pasengers, 44 for discount (total revenues 44*100) and 56 for full fare (total revenues 56*150) both of which are within the probabilities given earlier (full fare mean=56, discount mean=88). Total revenues in case will be 44*100+56*150=$12,800.

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