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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. [639 5 4 Minivan R=9 4 7 46 SUV 526 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): I 800 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. [639 5 4 Minivan R=9 4 7 46 SUV 526 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): I 800 1

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.1: Matrix Operations
Problem 19EQ: A factory manufactures three products (doohickies, gizmos, and widgets) and ships them to two...
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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 6 SUV 5 2 6 33 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 profit made by the manufacturer on these orders.
Transcribed Image Text: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 6 SUV 5 2 6 33 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 profit made by the manufacturer on these orders.
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