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Manuals/calci/Exampleslp (view source)
Revision as of 08:41, 28 September 2018
, 08:41, 28 September 2018no edit summary
==Examples==
==Examples==
'''ExampleS1: Chocolate Problem<br>'''
'''ExampleLP1: Chocolate Problem<br>'''
Shannon's Chocolates produces semisweet chocolate chips and milk chocolate chips at its plants in
Shannon's Chocolates produces semisweet chocolate chips and milk chocolate chips at its plants in
Wichita, KS and Moore, OK. The Wichita plant produces 3000 pounds of semisweet chips and 2000
Wichita, KS and Moore, OK. The Wichita plant produces 3000 pounds of semisweet chips and 2000
'''ExampleS2: Coffee Problem<br>'''
'''ExampleLP2: Coffee Problem<br>'''
Fred's Coffee sells two blends of beans: Yusip Blend and Exotic Blend. Yusip Blend is one-half
Fred's Coffee sells two blends of beans: Yusip Blend and Exotic Blend. Yusip Blend is one-half
Costa Rican beans and one-half Ethiopian beans. Exotic Blend is one-quarter Costa Rican beans and
Costa Rican beans and one-half Ethiopian beans. Exotic Blend is one-quarter Costa Rican beans and
yusip: 270,
yusip: 270,
exotic: 260 }</source>
exotic: 260 }</source>
'''ExampleLP3: Farmer Problem<br>'''
Fred's Coffee sells two blends of beans: Yusip Blend and Exotic Blend. Yusip Blend is one-half
Costa Rican beans and one-half Ethiopian beans. Exotic Blend is one-quarter Costa Rican beans and
three-quarters Ethiopian beans. Profit on the Yusip Blend is $3.50 per pound, while profit on the Exotic
Blend is $4.00 per pound. Each day Fred receives a shipment of 200 pounds of Costa Rican beans and
330 pounds of Ethiopian beans to use for the two blends. How many pounds of each blend should be
prepared each day to maximize profit? What is the maximum profit?<br>
<div id="z3lp3" style="font-size:16px">'''z3 code: Farmer Problem'''</div>
<source lang="cpp">
var solver = require('javascript-lp-solver'),
results,
model = {
"name": "farmer Problem",
"optimize": "profit",
"opType": "max",
"constraints": {
"storage": {
"max": 15000
},
"expense": {
"max": 4000
},
"plant": {
"max": 75
}
},
"variables": {
"wheat": {
"storage": 120,
"expense": 110,
"plant": 1,
"profit": 143
},
"barley": {
"storage": 210,
"expense": 30,
"plant": 1,
"profit": 60
}
}
};
console.log(solver.Solve(model));</source>
<div style="font-size:18px">'''Solution:'''</div>
<source lang="cpp">
{ feasible: true,
result: 6315.625,
bounded: true,
wheat: 21.875,
barley: 53.125 }</source>