1- Suppose that an automobile manufacturer has accepted orders for 30 minivans, 25 sport utility vehicles, and 15 sedans. The "raw materials" that go into each type of vehicle are steel, glass, plastic, paint, and labor. The entries in matrix R below give the number of units of each raw material (in this order) which are needed for each type of vehicle. 6 3 9 5 4] Minivan R = 9 4 7 4 SUV 5 2 6 3 3 Sedan Suppose that the cost of steel, glass, plastic, paint and labor per unit are given as cost vector (in the same order): 800 400 C = 300 200 1000 The price the manufacturer negotiated for each minivan is $16,000, for each SUV is $21,000, and for each sedan is $13,000. Find the amount of each raw material the manufacturer will need to fill the orders. a) Steel=480, Glass=220, Plastic=295, Paint=315, Labor%3525 b) Steel-535, Glass=220, Plastic=295, Paint=480, Labor=315 c) Steel=535, Glass=220, Plastic=315, Paint=480, Labor=295 d) Steel-315, Glass=295, Plastic=480, Paint=220, Labor=535 e) Steel 480, Glass=220, Plastic=535, Paint=295, Labor=315

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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1- Suppose that an automobile manufacturer has accepted orders for 30 minivans, 25 sport utility
vehicles, and 15 sedans.
The "raw materials" that go into each type of vehicle are steel, glass, plastic, paint, and labor.
The entries in matrix R below give the number of units of each raw material (in this order)
which are needed for each type of vehicle.
6.
39
5 4] Minivan
R =
9 4 7 4
SUV
5 2 6 3
3
Sedan
Suppose that the cost of steel, glass, plastic, paint and labor per unit are given as cost vector (in
the same order):
800
400
C =
300
200
1000
The price the manufacturer negotiated for each minivan is $16,000, for each SUV is $21,000,
and for each sedan is $13,000.
Find the amount of each raw material the manufacturer will need to fill the orders.
a) O
Steel=480, Glass=220, Plastic=295, Paint=315, Labor%3525
b)
Steel-535, Glass=220, Plastic=295, Paint=480, Labor=315
c)
Steel=535, Glass=220, Plastic=315, Paint=480, Labor=295
d)
Steel-315, Glass=295, Plastic=480, Paint=220, Labor=535
e)
Steel 480, Glass=220, Plastic=535, Paint=295, Labor=315
Transcribed Image Text:1- Suppose that an automobile manufacturer has accepted orders for 30 minivans, 25 sport utility vehicles, and 15 sedans. The "raw materials" that go into each type of vehicle are steel, glass, plastic, paint, and labor. The entries in matrix R below give the number of units of each raw material (in this order) which are needed for each type of vehicle. 6. 39 5 4] Minivan R = 9 4 7 4 SUV 5 2 6 3 3 Sedan Suppose that the cost of steel, glass, plastic, paint and labor per unit are given as cost vector (in the same order): 800 400 C = 300 200 1000 The price the manufacturer negotiated for each minivan is $16,000, for each SUV is $21,000, and for each sedan is $13,000. Find the amount of each raw material the manufacturer will need to fill the orders. a) O Steel=480, Glass=220, Plastic=295, Paint=315, Labor%3525 b) Steel-535, Glass=220, Plastic=295, Paint=480, Labor=315 c) Steel=535, Glass=220, Plastic=315, Paint=480, Labor=295 d) Steel-315, Glass=295, Plastic=480, Paint=220, Labor=535 e) Steel 480, Glass=220, Plastic=535, Paint=295, Labor=315
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