# A Discount Technique-Based Inventory Management on Electronics Products Supply Chain
## 4 Theoretical Derivations
### Sensitivity Analysis
\begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{**Parameter**} & \multirow{2}{*}{**\% Change**} & \multicolumn{3}{c}{**With Discount**} & \multicolumn{2}{c}{**Without Discount**} & \multirow{2}{*}{**(\(\mathbf{\psi}^{*}-\mathbf{\psi}^{**}\))\%**} \\ \cline{3-3} \cline{5-6}  & \(p^{*}\) & \(T^{*}\) & \(\mathbf{\psi}^{*}\) & \(\mathbf{\psi}^{**}\) & \(\mathbf{\psi}^{**}\) & \\ \hline \hline \multirow{4}{*}{C} & \(-20\) & 372.922 & 18.560 & 12,122.700 & 14,470.070 & \(-16.22\%\) \\ \cline{2-6}  & \(-10\) & 372.937 & 18.563 & 12,118.930 & 14,466.190 & \(-16.23\%\) \\ \cline{2-6}  & \(10\) & 372.966 & 18.568 & 12,111.390 & 14,458.430 & \(-16.23\%\) \\ \cline{2-6}  & \(20\) & 372.980 & 18.571 & 12,107.620 & 14,454.540 & \(-16.24\%\) \\ \hline \multirow{4}{*}{\(W\)} & \(-20\) & 370.786 & 17.408 & 9576.597 & 12,056.410 & \(-20.57\%\) \\ \cline{2-6}  & \(-10\) & 371.828 & 18.004 & 10,858.480 & 13,266.230 & \(-18.15\%\) \\ \cline{2-6}  & \(10\) & 374.111 & 19.095 & 13,351.800 & 15,647.190 & \(-14.67\%\) \\ \cline{2-6}  & \(20\) & 372.951 & 18.566 & 12,115.160 & 16,822.770 & \(-27.98\%\) \\ \hline \multirow{4}{*}{\(C_{p}\)} & \(-20\) & 352.280 & 15.439 & 18,783.750 & 21,230.690 & \(-11.53\%\) \\ \cline{2-6}  & \(-10\) & 362.195 & 16.765 & 15,297.790 & 17,712.490 & \(-13.63\%\) \\ \cline{2-6}  & \(10\) & 386.700 & 21.553 & 9294.282 & 11,516.450 & \(-19.30\%\) \\ \cline{2-6}  & \(20\) & \(\ldots\) & \(\ldots\) & \(\ldots\) & \(\ldots\) \\ \hline \multirow{4}{*}{\(C_{h}\)} & \(-20\) & 372.902 & 18.556 & 12,145.900 & 14,496.270 & \(-16.21\%\) \\ \cline{2-6}  & \(-10\) & 372.927 & 18.561 & 12,130.530 & 14,479.290 & \(-16.22\%\) \\ \cline{2-6}  & \(10\) & 372.976 & 18.570 & 12,099.800 & 14,445.330 & \(-16.24\%\) \\ \cline{2-6}  & \(20\) & 373.000 & 18.575 & 12,084.430 & 14,428.360 & \(-16.25\%\) \\ \hline \multirow{4}{*}{\(a\)} & \(-20\) & \(\ldots\) & \(\ldots\) & \(\ldots\) & \(\ldots\) \\ \cline{2-6}  & \(-10\) & 356.797 & 23.530 & 8425.492 & 10,169.700 & \(-17.15\%\) \\ \cline{2-6}  & \(10\) & 396.470 & 16.294 & 16,417.390 & 19,396.440 & \(-15.36\%\) \\ \cline{2-6}  & \(20\) & 421.316 & 14.743 & 21,174.930 & 24,849.270 & \(-14.79\%\) \\ \hline \multirow{4}{*}{\(b\)} & \(-20\) & 440.256 & 15.430 & 23,542.580 & 26,605.330 & \(-11.51\%\) \\ \cline{2-6}  & \(-10\) & 402.391 & 16.758 & 17,024.210 & 19,709.090 & \(-13.62\%\) \\ \cline{2-6}  & \(10\) & 351.622 & 21.574 & 8430.589 & 10,448.790 & \(-19.32\%\) \\ \cline{2-6}  & \(20\) & \(\ldots\) & \(\ldots\) & \(\ldots\) & \(\ldots\) \\ \hline \multirow{4}{*}{\(\alpha\)} & \(-20\) & 372.562 & 18.559 & 12,069.910 & 14,412.980 & \(-16.26\%\) \\ \cline{2-6}  & \(-10\) & 372.757 & 18.562 & 12,092.530 & 14,437.640 & \(-16.24\%\) \\ \cline{2-6}  & \(10\) & 373.146 & 18.569 & 12,137.790 & 14,486.980 & \(-16.22\%\) \\ \cline{2-6}  & \(20\) & 373.341 & 18.573 & 12,160.430 & 14,511.660 & \(-16.20\%\) \\ \hline \multirow{4}{*}{\(\beta\)} & \(-20\) & 368.712 & 18.256 & 11,801.260 & 14,129.450 & \(-16.48\%\) \\ \cline{2-6}  & \(-10\) & 370.784 & 18.405 & 11,957.220 & 14,294.920 & \(-16.35\%\) \\ \cline{2-6}  & \(10\) & 375.226 & 18.739 & 12,275.230 & 14,631.730 & \(-16.11\%\) \\ \cline{2-6}  & \(20\) & 377.627 & 18.928 & 12,437.600 & 14,803.340 & \(-15.98\%\) \\ \hline \multirow{4}{*}{\(s\)} & \(-20\) & 372.370 & 20.753 & 12,731.030 & 14,804.060 & \(-14.00\%\) \\ \cline{2-6}  & \(-10\) & 372.435 & 19.538 & 12,496.160 & 14,709.430 & \(-15.05\%\) \\ \cline{2-6}  & \(10\) & 373.801 & 17.786 & 11,596.440 & 14,070.370 & \(-17.58\%\) \\ \cline{2-6}  & \(20\) & 374.922 & 17.169 & 10,948.390 & 13,540.900 & \(-19.15\%\) \\ \hline \multirow{4}{*}{\(t_{1}\)} & \(-20\) & 365.411 & 17.276 & 14,929.950 & 16,843.630 & \(-11.36\%\) \\ \cline{2-6}  & \(-10\) & 368.994 & 17.861 & 13,503.730 & 15,639.110 & \(-13.65\%\) \\ \cline{2-6}  & \(10\) & 377.446 & 19.446 & 10,770.670 & 13,315.880 & \(-19.11\%\) \\ \cline{2-6}  & \(20\) & 382.828 & 20.617 & 9479.562 & 12,203.190 & \(-22.32\%\) \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Sensitivity analysis relating to altered factors.