A factory manufactures three products (doohickies, gizmos, and widgets) and ships them to two warehouses for storage. The number of units of each product shipped to each warehouse is given by the matrix B = A = (where a,; is the number of units of product i sent to warehouse j and the products are taken in alphabetical order). The cost of ij shipping one unit of each product by truck is $1.50 per doohickey, $1.00 per gizmo, and $2.00 per widget. The corresponding unit costs to ship by train are $1.75, $1.50, and $1.00. Organize these costs into a matrix B and then use matrix multiplication to show how the factory can compare the cost of shipping its products to each of the two warehouses by truck and by train. The cost of shipping one unit of each product is given by 200 75 150 100 100 125 BA = where the first row gives the costs of shipping each product by truck, and the second row the costs when shipping by train (and the products are taken in alphabetical order). Then BA gives the costs of shipping all the products to each of the warehouses by truck or train.

A factory manufactures three products (doohickies, gizmos, and widgets) and ships them to two warehouses for storage. The number of units of each product shipped to each warehouse is given by the matrix B = A = (where a,; is the number of units of product i sent to warehouse j and the products are taken in alphabetical order). The cost of ij shipping one unit of each product by truck is $1.50 per doohickey, $1.00 per gizmo, and $2.00 per widget. The corresponding unit costs to ship by train are $1.75, $1.50, and $1.00. Organize these costs into a matrix B and then use matrix multiplication to show how the factory can compare the cost of shipping its products to each of the two warehouses by truck and by train. The cost of shipping one unit of each product is given by 200 75 150 100 100 125 BA = where the first row gives the costs of shipping each product by truck, and the second row the costs when shipping by train (and the products are taken in alphabetical order). Then BA gives the costs of shipping all the products to each of the warehouses by truck or train.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

A factory manufactures three products (doohickies, gizmos, and widgets) and ships them to two warehouses for storage. The
number of units of each product shipped to each warehouse is given by the matrix
B =
A =
(where a,; is the number of units of product i sent to warehouse j and the products are taken in alphabetical order). The cost of
ij
shipping one unit of each product by truck is $1.50 per doohickey, $1.00 per gizmo, and $2.00 per widget. The corresponding unit
costs to ship by train are $1.75, $1.50, and $1.00. Organize these costs into a matrix B and then use matrix multiplication to
show how the factory can compare the cost of shipping its products to each of the two warehouses by truck and by train.
The cost of shipping one unit of each product is given by
200 75
150 100
100 125
BA =
where the first row gives the costs of shipping each product by truck, and the second row the costs when shipping by train (and
the products are taken in alphabetical order). Then BA gives the costs of shipping all the products to each of the warehouses by
truck or train.

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