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Chapter 4: Q22-19OQ (page 614)

The following matrix contains the costs (in dollars) associated with assigning Jobs A, B, C, D, and E to Machines 1, 2, 3, 4, and 5. Assign jobs to machines to minimize costs.

Short Answer

Expert verified

A matrix is a set of values organized in a defined number of rows and columns.

Step by step solution

01

Subtracting cost

Subtraction of $3, $5, $7, $4, or $5 costs from rows A, B, C, D, as well as E

02

Subtracting the smallest cost

Subtraction the smallest cost of$0, $7, $5, $0, $4 from every colon in 1,2,3,4,5

03

The number of lines represents zero

Four lines cover 0 and four tasks allocated; thus, the job must be equivalent to thenumber of lines that represent zero.

04

Lowest uncovered line

Subtracting one from thelowest uncoveredline by a line

05

Minimum Cost

Job A- 1 potential machine assignment 4

Job E- 1 potential machine assignment 4

Job D- 1 potential machine assignment 5

Job B- 1 potential machine assignment 3

Job C- 1 potential machine 2 assignment

Total minimum cost = 3 + 10 + 14 + 9 + 5

= $ 41

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