Combined Use of Mathematical Optimization and Design of Experiments for the Maximization of Profit in a Four-Echelon Supply Chain

Table 1

Summary of costs varying capacity, quality, delivery time, and interest rate.

Capacity	Low	High	Low	High	Low	High	Low	High	Medium
Quality	Low	Low	High	High	Low	Low	High	High	Medium
Delivery time	Low	Low	Low	Low	High	High	High	High	Medium
Interest rate	Low	High	High	Low	High	Low	Low	High	Medium
Profit	1,360,043.06	1,339,641.58	1,938,024.37	1,968,573.25	1,056,599.59	1,062,040.54	1,690,604.70	1,718,832.69	1,509,100.96
Total cost	2,018,956.94	2,039,358.42	1,440,975.63	1,410,426.75	2,322,400.41	2,316,959.46	1,688,395.30	1,660,167.31	1,869,899.04
Quality	647,879.86	654,540.73	62,696.05	57,216.61	690,396.33	699,020.20	84,562.67	81,746.51	352,695.05
Delivery time	20,584.56	19,327.68	16,054.17	14,683.14	264,412.27	244,240.99	254,161.18	222,891.04	154,772.51
Raw material	201,599.51	204,765.54	204,376.27	200,467.45	202,948.60	205,726.42	200,148.33	203,940.97	203,482.32
Production	178,788.40	181,096.20	177,191.20	175,918.60	182,851.60	184,320.40	181,272.20	181,497.00	180,978.53
Transportation	832,004.20	850,951.80	842,811.00	835,318.00	840,620.80	848,430.20	827,294.80	840,946.40	840,930.60
Operation	136,256.00	126,928.60	136,191.60	125,320.40	138,975.80	133,240.80	138,920.20	127,206.80	135,125.47
Interest rate	1,844.40	1,747.87	1,655.34	1,502.55	2,195.02	1,980.45	2,035.92	1,938.59	1,914.56