A manufacturer of bicycles builds racing, touring, and mountain models. The bicycles are made of both steel and aluminum. The company has available 110,200 units of steel and 45,000 units of aluminum. The racing, touring, and mountain models need 19, 29, and 38 units of steel, and 12, 21, and 15 units of aluminum, respectively. Complete parts (a) through (d) below. (a) How many of each type of bicycle should be made in order to maximize profit if the company makes $9 per racing bike, $11 per touring bike, and $23 per mountain bike? Let x₁ be the number of racing bikes, let x₂ be the number touring bikes, and let x3 be the number of mountain bikes. What is the objective function? z = 9 x₁ + 11 x₂ + 23 X3 (Do not include the $ symbol in your answers.) To maximize profit, the company should produce mountain bike(s). (Simplify your answers.) racing bike(s), touring bike(s), and

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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A manufacturer of bicycles builds racing, touring, and mountain models. The bicycles are made of both
steel and aluminum. The company has available 110,200 units of steel and 45,000 units of aluminum.
The racing, touring, and mountain models need 19, 29, and 38 units of steel, and 12, 21, and 15 units
of aluminum, respectively. Complete parts (a) through (d) below.
(a) How many of each type of bicycle should be made in order to maximize profit if the company makes
$9 per racing bike, $11 per touring bike, and $23 per mountain bike?
Let x₁ be the number of racing bikes, let x₂ be the number touring bikes, and let x3 be the number of
mountain bikes. What is the objective function?
z = 9 x₁ + 11 x₂ + 23 X3
(Do not include the $ symbol in your answers.)
To maximize profit, the company should produce
mountain bike(s).
(Simplify your answers.)
racing bike(s), touring bike(s), and
Transcribed Image Text:A manufacturer of bicycles builds racing, touring, and mountain models. The bicycles are made of both steel and aluminum. The company has available 110,200 units of steel and 45,000 units of aluminum. The racing, touring, and mountain models need 19, 29, and 38 units of steel, and 12, 21, and 15 units of aluminum, respectively. Complete parts (a) through (d) below. (a) How many of each type of bicycle should be made in order to maximize profit if the company makes $9 per racing bike, $11 per touring bike, and $23 per mountain bike? Let x₁ be the number of racing bikes, let x₂ be the number touring bikes, and let x3 be the number of mountain bikes. What is the objective function? z = 9 x₁ + 11 x₂ + 23 X3 (Do not include the $ symbol in your answers.) To maximize profit, the company should produce mountain bike(s). (Simplify your answers.) racing bike(s), touring bike(s), and
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