Marketing. Three electronics firms are aggressively marketing their graphing calculators to high school and college mathematics departments by offering volume discounts, complimentary display equipment, and assistance with curriculum development. Due to the amount of equipment involved and the necessary curriculum changes, once a department decides to use a particular calculator in their courses, they never switch to another brand or stop using calculators. Each year, 6 % of the departments decide to use calculators from company A , 3 % decide to use calculators from company B , 11 % decide to use calculators from company C . and the remainder decide not to use any calculators in their courses. (A) In the long run, what is the market share of each company? (B) On average, how many years will it take a department to decide to use calculators from one of these companies in their courses?
Marketing. Three electronics firms are aggressively marketing their graphing calculators to high school and college mathematics departments by offering volume discounts, complimentary display equipment, and assistance with curriculum development. Due to the amount of equipment involved and the necessary curriculum changes, once a department decides to use a particular calculator in their courses, they never switch to another brand or stop using calculators. Each year, 6 % of the departments decide to use calculators from company A , 3 % decide to use calculators from company B , 11 % decide to use calculators from company C . and the remainder decide not to use any calculators in their courses. (A) In the long run, what is the market share of each company? (B) On average, how many years will it take a department to decide to use calculators from one of these companies in their courses?
Solution Summary: The author calculates the market share for each company in the long-run.
Marketing. Three electronics firms are aggressively marketing their graphing calculators to high school and college mathematics departments by offering volume discounts, complimentary display equipment, and assistance with curriculum development. Due to the amount of equipment involved and the necessary curriculum changes, once a department decides to use a particular calculator in their courses, they never switch to another brand or stop using calculators. Each year,
6
%
of the departments decide to use calculators from company
A
,
3
%
decide to use calculators from company
B
,
11
%
decide to use calculators from company
C
. and the remainder decide not to use any calculators in their courses.
(A) In the long run, what is the market share of each company?
(B) On average, how many years will it take a department to decide to use calculators from one of these companies in their courses?
ASAP!!
A firm purchases a microchip used in the manufacturing of LED screens from four different suppliers. TechZone supplies 32 percent of the total microchips, Advance Electronics 20 percent, PSP importers 23 percent, and TechParts inc. 25 percent. TechZone tends to have the best quality, as only 1 percent of its microchips arrive defective. Advance Electronics chips are 3 percent defective, PSP importers chips are 6 percent defective, and Parts Inc. are 5.5 percent defective.
If a random chip is selected, what is the probability that the chip is defective
A defective chip was discovered in the latest shipment. What is the probability that it came from TechZone supplies?
A defective chip was discovered in the latest shipment. What is the probability that it came from TechParts Inc.?
The Royal Seas Company runs a three-night cruise to the Caribbean from Port Canaveral. The company wants to run TV ads promoting its cruises to high-income men, high-income women, and retirees. The company has decided to consider airing ads during prime time, afternoon soap operas, and during the evening news. The number of exposures (in millions) expected to be generated by each type of ad in each of the company's target audiences is summarized in the following table:
Prime Time
Soap Operas
Evening News
High-income men
6
3
6
High-income women
3
4
4
Retirees
4
7
3
Ads during prime time, the afternoon soaps, and the news hour cost $120,000, $85,000, and $100,000, respectively. Royal Seas wants to achieve the following goals:
Goal 1: Spend approximately $900,000 on TV advertising.
Goal 2: Generate approximately 45 million exposures among high-income men.
Goal 3: Generate approximately 65 million exposures among high-income women.
Goal 4: Generate approximately 60 million…
Investing: Lesser-Known Stocks The following question is based on the following information about the stocks of Whitestone REIT, HCC Insurance Holdings, Inc., and SanDisk Corporation.†
Price($)
Dividend Yield(%)
WSR(WSR Whitestone REIT)
16
7
HCC(HCC Insurance Holdings, Inc.)
56
2
SNDK(SanDisk Corporation)
80
2
You invested a total of $14,400 in shares of the three stocks at the given prices, and expected to earn $328 in annual dividends. If you purchased a total of 250 shares, how many shares of each stock did you purchase?
having trouble solving
i have set up as
x+y+z=250
16x+56y+80z=14,400
.7(16x)+.2(56y)+.2(80z)=248
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