A company is taking bids on four construction jobs. Their bids, in thousands of dollars, are given below.    Job 1 Job 2 Job 3 Job 4 Contractor 1 50 46 42 40 Contractor 2 51 48 44 - Contractor 3 - 47 45 45 A dash indicates that the contractor did not bid on the given job.  Contractor 1 can do only one job, but contractors 2 and 3 can each do up to 2 jobs.  Determine the minimum cost assignment of contractors to jobs.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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  1. A company is taking bids on four construction jobs. Their bids, in thousands of dollars, are given below. 
 

Job 1

Job 2

Job 3

Job 4

Contractor 1

50

46

42

40

Contractor 2

51

48

44

-

Contractor 3

-

47

45

45

A dash indicates that the contractor did not bid on the given job.  Contractor 1 can do only one job, but contractors 2 and 3 can each do up to 2 jobs.  Determine the minimum cost assignment of contractors to jobs.

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