Hi I would like to know which algorithm is best suited to solve this Cost Minimisation problem:
Total Cost =
FC1 if 0 < W < 30 FC2 if 30 < W < 150 FC3 if W > 150 + W* ECL if q(e,b,W) ≤ BOD W* ECH if q(e,b,W) > BOD + Price*Labor + Price*Capital + Price*Water + Price*Abatement
FC1, FC2, FC3 are constants while BOD is pollution standard, ECL and ECH are also constants
q is like the pollution concentration like BOD/liters of wastewater, I defined it as a function of e (emission), b (the firm's pollution abatement efforts) and W (water).