Suppose that the linear equation for consumption in a hypothetical economy is $\backslash (\backslash$mathrm$\{$C$\}=600+0\mathrm{.}8\backslash$mathrm$\{$Y$\}\backslash ).$ Also suppose that income $\backslash ((\backslash$mathrm$\{$Y$\})\backslash )$ is $750.$ Determine the following:

$($a$)$ MPC

$($b$)$ MPS

$($c$)$ level of consumption

$($d$)$ level of saving

$($e$)$ APC

$($f$)$ APS.