The following results were obtained when a pressure transducer was tested in a laboratory under the following conditions: I Ambient temperature $20^{\circ} \mathrm{C}$, supply voltage $10 \mathrm{~V}$ (standard) II Ambient temperature $20^{\circ} \mathrm{C}$, supply voltage $12 \mathrm{~V}$ III Ambient temperature $25^{\circ} \mathrm{C}$, supply voltage $10 \mathrm{~V}$ \begin{tabular}{ccccccc} \hline \begin{tabular}{c} Input (barg) \\ Output (mA) \end{tabular} & 0 & 2 & 4 & 6 & 8 & 10 \\ I & 4 & 7.2 & 10.4 & 13.6 & 16.8 & 20 \\ II & 4 & 8.4 & 12.8 & 17.2 & 21.6 & 28 \\ III & 6 & 9.2 & 12.4 & 15.6 & 18.8 & 22 \\ \hline \end{tabular} (a) Determine the values of $K_{M}, K_{l}, a$ and $K$ associated with the generalised model equation $O=\left(K+K_{M} I_{M}\right) I+a+K_{I} I_{I}$. (b) Predict an output value when the input is $5 \mathrm{barg}, V_{S}=12 \mathrm{~V}$ and ambient temperature is $25^{\circ} \mathrm{C}$
