Table 3 Prices and gross profits when X 0=a 0+G 0 and X 1=a 0+b 1 G 1 with independent G 0,G 1∼Ga(α,β) and varying parameter b 1 values
α | β | σ G | Π(p 0,max,p 1,max) | p 0,max | p 1,max | \(\Pi (p^{\max }_{0},p^{\max }_{1})\) | \(p^{\max }_{0}\) | \(p^{\max }_{1}\) | |
|---|---|---|---|---|---|---|---|---|---|
b 1=0.5 | 100 | 2 | 5 | 238.2429 | 238.3686 | 218.6924 | 241.1509 | 243.4476 | 218.6442 |
25 | 0.5 | 10 | 229.9149 | 230.1152 | 214.1065 | 235.7860 | 240.6705 | 214.1065 | |
6.25 | 0.125 | 20 | 217.1670 | 217.3732 | 207.1570 | 228.2490 | 238.4532 | 207.1570 | |
2.78 | 0.056 | 30 | 207.4754 | 207.5638 | 202.3953 | 223.0999 | 238.8913 | 202.3953 | |
b 1=1.1 | 100 | 2 | 5 | 238.3830 | 238.3686 | 242.3547 | 241.4216 | 243.7144 | 220.6309 |
25 | 0.5 | 10 | 230.1187 | 230.1152 | 233.4259 | 240.3086 | 246.1226 | 233.3253 | |
6.25 | 0.125 | 20 | 217.3363 | 217.3732 | 219.6358 | 231.6847 | 242.9417 | 219.6334 | |
2.78 | 0.056 | 30 | 207.5313 | 207.5638 | 208.8733 | 224.8072 | 241.2413 | 208.8733 | |
b 1=2.1 | 100 | 2 | 5 | 238.6217 | 238.3686 | 282.7481 | 241.4216 | 243.7144 | 220.6309 |
25 | 0.5 | 10 | 230.4780 | 230.1152 | 267.7370 | 250.7337 | 252.1044 | 248.5686 | |
6.25 | 0.125 | 20 | 217.6737 | 217.3732 | 245.0225 | 241.6766 | 253.5593 | 244.0345 | |
2.78 | 0.056 | 30 | 207.6767 | 207.5638 | 226.2926 | 229.9190 | 247.4248 | 225.7422 |