Find the profit function if marginal revenue and marginal costs are given as follows

and if fixed costs are $90$ :

$MR=80-4Q-Q^2,MC=7\mathrm{.}5e^{0\mathrm{.}15Q}$

Find the aggregate consumption function if:

$mpc=0\mathrm{.}5+\frac{0\mathrm{.}2}{Y^{\frac{1}{2}}},$ and where consumption $=60if$ income $=100$