A Grove TMS$500$E hydraulic crane is being considered to lift a rooftop HVAC unit $($weight $=4,000$ lb$)$ onto a building. The building is $90$ ft tall. The crane can get no closer than $30$ ft $($measured from the center of rotation of the crane$)$ to the exterior wall of the building. The center of the final location of the unit is $20$ feet from the outside of the building. The total height from the bottom of the unit to the hook, including spreaders, is $16$ ft$.$ A single part of line will be used. The hook block, link, and spreaders weigh $500$ lb$.$ Can this machine make the lift $($considering both geometry and load capacity$)?$ If so$,$ what will be the configuration of the crane $($main boom w$/$ or w$/$o one of the two extensions$),$ boom angle, and boom length? $($Hint: discuss across multiple configurations. Note: the length between the hook can be assumed to be $8$ ft according to the bottom figures on the page of $$working range$)$