Gorilla Summary
Compte rendu : Gorilla Summary. Recherche parmi 300 000+ dissertationsPar Khalil Safia • 5 Avril 2020 • Compte rendu • 278 Mots (2 Pages) • 492 Vues
CMT company wishes to maximize its daily revenue. So, how many tons of zinc, lead and silver should it use respectively?
Inputs:
- Let the total number of zinc daily input be = Z
- Let the total number of lead daily input be = L
- Let the total number of silver daily input be = S
Parameters:
- CT: Cycle time for machine 6 to 9
- P (z): Price of zinc
- P (l) : Price of lead
- P (s): Price of silver
Objective Function:
The total profit the company makes is given by the total number of daily inputs of Z, L and S multiplied by their per unit price respectively:
MAX X = L * P(l) + Z * P(z) + S * P(s)
which means we have to maximize X.
Constraints:
The company will try to produce as many units of Z, L and S to maximize the profit. But the resources are available in limited amount.
St:
Minimum production of Lead (in ton) | 80 | >= | 80 |
Minimum production of Zinc (in ton) | 10 | >= | 10 |
Minimum production of Silver (in ton) | 504,05 | >= | 150 |
Maximum raw material resources obtained from supply | 594,05 | <= | 1100 |
Time constraint (less than a day) | 24 | <= | 24 |
Results:
After entering the Linear program into the solver, it shows that in order to maximize its total daily revenue CMT needs requires a daily input:
- Lead : 80 tons
- Zinc : 10 tons
- Silver : 504,05 tons
Given these findings, the maximized total daily revenue X is 277.412.552,7 MAD
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