Graphics Programs Reference
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75
70
65
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55
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40
0
5
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35
40
Now let's superimpose on top of this picture a contour plot of the objective
function
P
.
hold on
[U V] = meshgrid(0:40, 40:75);
contour(U, V, 143.*U + 60.*V); hold off
75
70
65
60
55
50
45
40
0
5
10
15
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35
40
It seems apparent that the maximum value of
P
will occur on the level curve
(that is, level line) that passes through the vertex of the polygon that lies
near (23, 53). In fact we can compute
[x, y] = solve('x + y = 75', '110*x + 30*y = 4000')
x=
175/8
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