Suppose a primitive economy consists of two industries, farm products and farm machinery. Suppose also that its technology matrix is represented by the matrix shown below. P M A = 0.6 0.20.2 0.4 ProductsMachineryIf surpluses of 94 units of farm products and 9 units of farm machinery are desired, find the gross production of each industry.products unitsmachinery units

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Answered: Suppose also that its technology matrix…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Determinants

Section3.CM: Cumulative Review

Problem 28CM: A manufacture produce three models of a product and ships them to two warehouse. In the matrix...

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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 A=[20015010075100125] (where aij is the number of units of product i sent to warehouse j and the products are taken in alphabetical order). The cost of 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.
Determine whether the matrix is in row-echelon form. If it is, determine whether it is in reduced row-echelon form. 1024011130000
A manufacture produce three models of a product and ships them to two warehouse. In the matrix A=[200300600350250400] aij represent the number of units model i that the manufacturer ships to warehouse j. The matrix B=[12.509.0021.50] Represent the price of the three models in dollars per unit. Find the product BA and state what each entry of the matrix represents.

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Suppose also that its technology matrix is represented by the matrix shown below. P M A = 0.6 0.2 0.2 0.4 Products Machinery If surpluses of 94 units of farm products and 9 units of farm machinery are desired, find the gross production of each industry.