Leonard started a systematic investment program by buying $$$$350\mathrm{.}00$ worth of mutual funds on the first day of every month starting on March $1.$ Mutual funds are purchased in units. Leonard purchased as many units as he could with his $$$$350\mathrm{.}00,$ including fractions of units. Unit prices for the first six months were $$$$9\mathrm{.}00,$$$9\mathrm{.}60,$$$10\mathrm{.}50,$$$8\mathrm{.}75,$$$8\mathrm{.}20,$ and $$$$11\mathrm{.}65$ respectively. Complete parts $($a$)$ through $($d$)$ below.