Q$6\mathrm{.}3($Algo$)$ Philly Air $[6\mathrm{.}2,6\mathrm{.}3]$

PhillyAir Inc. offers low cost air travel between Philadelphia and Atlantic City. Philly Air's invested capital is $\backslash$$$2,000,000,$ corresponding to the investment in the $2$ planes the company owns. Each of the $2$ planes can carry $25$ passengers. Each plane does $10$ daily trips from Philadelphia to Atlantic City and $10$ from Atlantic City to Philadelphia. The price is $\backslash (\backslash$$ $80\backslash )$ for each one$-$way ticket. The current load factor is $80$ percent $($i$.$e$.,20$ seats are sold on the average flight$).$ The annual cost of operating the service and running the business is $\backslash (\backslash$$ $22,000,000\backslash )($including all costs, such as labor, fuel, marketing, gate fees, landing fees, maintenance, etc.$).$ The company operates $365$ days a year.

a$.$ What is the current ROIC? $($Round your answer to one decimal place.$)$

Return on invested capital $($ROIC$)$ is

b$.$ What is the minimum load factor at which the company breaks even? $($Round your answer to two decimal places.$)$

c$.$ What load factor would the company have to achieve so that it obtained a $10$ percentage$-$point increase in the ROIC $($e$.$g$.,$ an ROIC increasing from $5$ percent to $15$ percent$)?($Round your answer to two decimal places.$)$