(i) What quantity of each type of raw material should he obtain to fulfill his contract? ii) Determine the total cost of raw materials for all the houses he will build.

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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A building contractor has accepted orders for 5 type A houses, 7
type B houses and 12 type C houses. The contractor is familiar with
the kinds of raw materials that go into each type of house. These
raw materials are steel, wood, glass, paint and labour. The various
quantities of steel, wood, glass, paint, and hours of labour required
to build each type of house are identified in appropriate units for
each type by the matrix:
steel wood Glass Paint Labour
20
16
7
17
7.
C
6.
18
12
9.
21
25
13
It is known that steel costs GHC2500 per unit, wood costs GH¢1200
per unit, glass costs GH¢800 per unit, paint costs GH¢150 per unit,
and labour costs GHC1500 per hour.
(i) What quantity of each type of raw material should he obtain to
fulfill his contract?
ii) Determine the total cost of raw materials for all the houses he
will build.
8.
Transcribed Image Text:A building contractor has accepted orders for 5 type A houses, 7 type B houses and 12 type C houses. The contractor is familiar with the kinds of raw materials that go into each type of house. These raw materials are steel, wood, glass, paint and labour. The various quantities of steel, wood, glass, paint, and hours of labour required to build each type of house are identified in appropriate units for each type by the matrix: steel wood Glass Paint Labour 20 16 7 17 7. C 6. 18 12 9. 21 25 13 It is known that steel costs GHC2500 per unit, wood costs GH¢1200 per unit, glass costs GH¢800 per unit, paint costs GH¢150 per unit, and labour costs GHC1500 per hour. (i) What quantity of each type of raw material should he obtain to fulfill his contract? ii) Determine the total cost of raw materials for all the houses he will build. 8.
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