$3.$ An SI engine operating on a four$-$stroke air$-$standard cycle using stoichiometric gasoline is to have a maximum cylinder pressure of $\backslash (11,000\backslash$mathrm$\{$kPa$\}\backslash )$ at WOT. Inlet pressure can be $100$ kPa without supercharging, or it can be as high as $150$ kPa with a supercharger. Pick a compression ratio and inlet pressure combination to give maximum indicated thermal efficiency. Pick a compression ratio and inlet pressure to give maximum imep.