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A firm allocates staff into two categories: welders, fitters. It is estimated that for their three main products the time spent, in hours, on each item is given in the following matrix.                       Boiler             Water tank           Holding frame Welder              2                       0.75                      1.25    Fitter                 1.4                     0.5                       1.75 The wages, pension contributions, and overheads per hour are known to be:                          Welder        Fitter Wages                 10                8 Pension                1                 2 O/heads              0.5               1 Find the total amount that is paid by the firm per hour in terms of wages. Find the total amount paid by the firm in pension head, if the firm produces 3 boilers and 5 holding frames. Estimate the total cost of producing 10 boilers, 25 water tanks, and 30 holding frames to be paid by the firm in all heads

A firm allocates staff into two categories: welders, fitters. It is estimated that for their three main products the time spent, in hours, on each item is given in the following matrix.                       Boiler             Water tank           Holding frame Welder              2                       0.75                      1.25    Fitter                 1.4                     0.5                       1.75 The wages, pension contributions, and overheads per hour are known to be:                          Welder        Fitter Wages                 10                8 Pension                1                 2 O/heads              0.5               1 Find the total amount that is paid by the firm per hour in terms of wages. Find the total amount paid by the firm in pension head, if the firm produces 3 boilers and 5 holding frames. Estimate the total cost of producing 10 boilers, 25 water tanks, and 30 holding frames to be paid by the firm in all heads

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
Problem 41EQ
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A firm allocates staff into two categories: welders, fitters. It is estimated that for their three main products the time spent, in hours, on each item is given in the following matrix.

                      Boiler             Water tank           Holding frame

Welder              2                       0.75                      1.25   

Fitter                 1.4                     0.5                       1.75

The wages, pension contributions, and overheads per hour are known to be:

                         Welder        Fitter

Wages                 10                8

Pension                1                 2

O/heads              0.5               1

  1. Find the total amount that is paid by the firm per hour in terms of wages.
  2. Find the total amount paid by the firm in pension head, if the firm produces 3 boilers and 5 holding frames.
  3. Estimate the total cost of producing 10 boilers, 25 water tanks, and 30 holding frames to be paid by the firm in all heads.
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