(b) Gloria operates three self-service gasoline stations in On a certain day, station A sold 600 liters of premium, 800 liters of 1000 liters of regular gasoline, and 700 liters of diesel fuel; station B sold 700 liters of premium, 600 liters of super, 1200 liters of regular gasoline, and 400 liters of diesel fuel; station C sold 900 liters of premium, 700 liters of super, 1400 liters of regular gasoline, and 800 liters of diesel fuel. Assume that the price of gasoline was Sh3.80/liters for premium, Sh3.60/liters for super, and Sh3.40/liters for regular and that diesel fuel sold for Sh3.70/liters. Use matrix algebra to find the total revenue at each station. super,

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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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STUDENT POR... O WhatsApp
2/ 2
67%
of town.
(b) Gloria operates three self-service gasoline stations in different parts
On a certain day, station A sold 600 liters of premium, 800 liters of super,
1000 liters of regular gasoline, and 700 liters of diesel fuel; station B sold 700
liters of premium, 600 liters of super, 1200 liters of regular gasoline, and 400
liters of diesel fuel; station C sold 900 liters of premium, 700 liters of super,
1400liters of regular gasoline, and 800 liters of diesel fuel. Assume that the
of gasoline was Sh3.80/liters for premium, Sh3.60/liters for super, and
Sh3.40/liters for regular and that diesel fuel sold for Sh3.70/liters. Use matrix
algebra to find the total revenue at each station.
(c) In the previous year, at Hub Motors Itd, for a partieular model of Mercedes,
Nissan and Ford, one could purchase (in million shillings) all three cars for a
total of Ksh 150. This year, due to inflation, the same cars would cost Ksh
161. The cost of the Mercedes increased by 8%, the Nissan by 6%, and the
Ford by 12%. If the price of last year's Nissan was Ksh 7 less than the price
of last year's Mercedes, Use matrix inverse to find the price of each of the
three cars last year?
(d)A two secetor economy has the following input-output technieal matrix
04:
03
The final demand for the next year is estimated as sh 60 million for
sector R and sh 90 million for seetor S. Determine
(1) Total production from each sector in order to satisfy both
intermediate and final demand.
(11)Total worth of primary inputs for the production level in (i)
Account for the usage of sector Routput
(TI1)
24
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Transcribed Image Text:STUDENT POR... O WhatsApp 2/ 2 67% of town. (b) Gloria operates three self-service gasoline stations in different parts On a certain day, station A sold 600 liters of premium, 800 liters of super, 1000 liters of regular gasoline, and 700 liters of diesel fuel; station B sold 700 liters of premium, 600 liters of super, 1200 liters of regular gasoline, and 400 liters of diesel fuel; station C sold 900 liters of premium, 700 liters of super, 1400liters of regular gasoline, and 800 liters of diesel fuel. Assume that the of gasoline was Sh3.80/liters for premium, Sh3.60/liters for super, and Sh3.40/liters for regular and that diesel fuel sold for Sh3.70/liters. Use matrix algebra to find the total revenue at each station. (c) In the previous year, at Hub Motors Itd, for a partieular model of Mercedes, Nissan and Ford, one could purchase (in million shillings) all three cars for a total of Ksh 150. This year, due to inflation, the same cars would cost Ksh 161. The cost of the Mercedes increased by 8%, the Nissan by 6%, and the Ford by 12%. If the price of last year's Nissan was Ksh 7 less than the price of last year's Mercedes, Use matrix inverse to find the price of each of the three cars last year? (d)A two secetor economy has the following input-output technieal matrix 04: 03 The final demand for the next year is estimated as sh 60 million for sector R and sh 90 million for seetor S. Determine (1) Total production from each sector in order to satisfy both intermediate and final demand. (11)Total worth of primary inputs for the production level in (i) Account for the usage of sector Routput (TI1) 24 Home
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