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Manuals/calci/Exampleslp (view source)
Revision as of 10:09, 28 September 2018
, 10:09, 28 September 2018no edit summary
<source lang="cpp">
<source lang="cpp">
{ feasible: true, result: 2625, bounded: true, mb: 75, ma: 45 }</source>
{ feasible: true, result: 2625, bounded: true, mb: 75, ma: 45 }</source>
'''ExampleLP6: Manufacturing Problem<br>'''
A factory manufactures three products, which require three resources – labor, materials and administration.
The unit profits on these products are $10, $6 and $4 respectively. There are 100 hr of labor, 600 lb of
material, and 300hr of administration available per day. In order to determine the optimal product mix,
the following LP model is formulated and solve:<br>
<div id="z3lp6" style="font-size:16px">'''z3 code: Manufacturing Problem'''</div>
<source lang="cpp">
var solver = require('javascript-lp-solver'),
results,
model = {
"name": "Factory Problem",
"optimize": "profit",
"opType": "max",
"constraints": {
"labor": {
"max": 100(h)
},
"material": {
"max": 600(lb)
},
"administration": {
"max": 300(h)
}
},
"variables": {
"a": {
"labor": 1(h),
"material": 10(lb),
"administration": 2(h),
"profit": 10(USD)
},
"b": {
"labor": 1(h),
"material": 4(lb),
"administration": 2(h),
"profit": 6(USD)
},
"c": {
"labor": 1(h),
"material": 5(lb),
"administration": 6(h),
"profit": 4(USD)
}
},
};
console.log(solver.Solve(model));</source>
<div style="font-size:18px">'''Solution:'''</div>
<source lang="cpp">
{ feasible: true,
result: 733.33333333,
bounded: true,
b: 66.66666667,
a: 33.33333333 }</source>