Concept explainers
Interpretation: Contour lines for the problem of locating a machine shop described in Problem 28, needs to be drawn.
Concept Introduction: The line that passes through or drawn through points having the same value is called a contour line.
Answer to Problem 33P
Contour lines have been drawn along the plotted points.
Explanation of Solution
Given information: Contour lines for locating the machine shop is drawn from the values of points derived.
The procedure for drawing contour lines is as follows:
- The points need to be plotted on a graph paper, and horizontal and vertical lines need to be drawn along their respective axis.
- The horizontal and vertical lines, needs to be clearly numbered from left to right.
- It is being assumed,
- Following is the method for computing numbers:
Where
A region
After calculating the slopes of the contour lines, it is drawn by starting from any point, moves forward along the predetermined slopes, as calculated from the above mentioned formula and at an angle
The weights and coordinates of the locations of machines are being tabulated as follows:
| Location of machines | Weight |
| (3,3) | |
| (3,7) | |
| (8,4) | |
| (12,3) | 1 |
| (14,6) |
Let us assume the following:
and
Further, in order to find the slope, the ratios are calculated:
From the derived points, the contour lines has been plotted as shown in the figure below: 
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Chapter 11 Solutions
EBK PRODUCTION AND OPERATIONS ANALYSIS
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Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,