The diet problem revisited
You are reviewing the financials for a farmer who asked you to revisit the diet of his pigs and cut on the cost if possible. The current cost minimization diet is based on the vet's recommendation for at least 17% protein, 2% fat, 7lb food following specifications
| Food | Cost ($/lb) | Protein (%) | Fat (%) |
|---|---|---|---|
| corn | 0.11 | 10 | 2.5 |
| soybean | 0.28 | 40 | 1 |
You have the information that the 7 lb was a rounded figure and could decrease to 6.6 lb. You are asked to see how changing the weight or fat constraints one at a time affects the minimum cost. You will solve the original problem as is and examine the slack and shadow price.
pulp has been imported for you and model has been defined as well as the variables C and S for corn and soybean.
Deze oefening maakt deel uit van de cursus
Introduction to Optimization in Python
Oefeninstructies
- Print the slack of the Weight constraint.
- Check if the shadow price of the Weight constraint is greater than 0.
Praktische interactieve oefening
Probeer deze oefening eens door deze voorbeeldcode in te vullen.
model.constraints['Weight'] = C + S >= 7
model.solve()
print(f"Status: {LpStatus[model.status]}\n")
# Print the slack of the weight constraint
print("The slack of the Weight constraint is {}",
____.constraints['Weight'].____)
# Check if the shadow price is greater than 0
if ____.constraints['Weight'].____ > 0:
print('Tightening the constraint will increase minimum cost')