ABG Company produces three models of television sets: the Ultra, Deluxe, and Slim. Each Ultra set requires 1 hours of electronics work, 2 hours of assembly time, and 2 hours of finishing time. Each Deluxe set requires 3 hours of electronics work, 1 hours of assembly time, and 5 hours of finishing time. Each Slim set requires 1.1 hour of electronics work, 1.2 hours of assembly time, and 2 hours of finishing time. There are a total of 500 hours available for electronics work, 350 hours for assembly, and 870 hours for finish work. General question: How many of each type of television set should be manufactured if all available time is to be used up? Set up a system of equations, and then solve using your calculator. a) There are actually an infinite number of solutions to this system. Write the solutions here, using t as the parameter as needed. 110 - 0.5t vo Ultra tv's; y = t 130 - Deluxe tv's ; and Slim tv's. b) If the company planned to manufacture 40 Slim televisions, how many of the other two types could they also manaufacture? Ultra tv's = 90 V o ; Deluxe tv's = 122 c) How many tv sets of each type should be manufactured if they want to make the largest possible number of Slim tv sets? {Show your work as demonstrated in the lecture videos on D2L.} Ultra tv's ; Deluxe tv's ; and Slim tv's.

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Chapter2: Second-order Linear Odes
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ABG Company produces three models of television sets: the Ultra, Deluxe, and Slim. Each Ultra set requires
1 hours of electronics work, 2 hours of assembly time, and 2 hours of finishing time. Each Deluxe set
requires 3 hours of electronics work, 1 hours of assembly time, and 5 hours of finishing time. Each Slim set
requires 1.1 hour of electronics work, 1.2 hours of assembly time, and 2 hours of finishing time. There are
a total of 500 hours available for electronics work, 350 hours for assembly, and 870 hours for finish work.
General question: How many of each type of television set should be manufactured if all available time is
to be used up? Set up a system of equations, and then solve using your calculator.
a) There are actually an infinite number of solutions to this system. Write the solutions here, using t as the
parameter as needed.
110 – 0.5t v o
Ultra tv's;
y =
130 –
Deluxe tv's ; and
Z =
t
Slim tv's.
b) If the company planned to manufacture 40 Slim televisions, how many of the other two types could they
also manaufacture?
Ultra tv's = 90
V o ; Deluxe tv's = 122
c) How many tv sets of each type should be manufactured if they want to make the largest possible number
of Slim tv sets? {Show your work as demonstrated in the lecture videos on D2L.}
Ultra tv's ;
Deluxe tv's ; and
Slim tv's.
Transcribed Image Text:ABG Company produces three models of television sets: the Ultra, Deluxe, and Slim. Each Ultra set requires 1 hours of electronics work, 2 hours of assembly time, and 2 hours of finishing time. Each Deluxe set requires 3 hours of electronics work, 1 hours of assembly time, and 5 hours of finishing time. Each Slim set requires 1.1 hour of electronics work, 1.2 hours of assembly time, and 2 hours of finishing time. There are a total of 500 hours available for electronics work, 350 hours for assembly, and 870 hours for finish work. General question: How many of each type of television set should be manufactured if all available time is to be used up? Set up a system of equations, and then solve using your calculator. a) There are actually an infinite number of solutions to this system. Write the solutions here, using t as the parameter as needed. 110 – 0.5t v o Ultra tv's; y = 130 – Deluxe tv's ; and Z = t Slim tv's. b) If the company planned to manufacture 40 Slim televisions, how many of the other two types could they also manaufacture? Ultra tv's = 90 V o ; Deluxe tv's = 122 c) How many tv sets of each type should be manufactured if they want to make the largest possible number of Slim tv sets? {Show your work as demonstrated in the lecture videos on D2L.} Ultra tv's ; Deluxe tv's ; and Slim tv's.
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