b$)$ NORAN employees work $40$ hours per week. Currently a single worker performs both chassis fabrication and radio assembly. Fabrication of each chassis takes $20$ minutes, and assembly of a radio also takes $20$ minutes. Show that under the plan you generated in part $($a$),$ the capacity of the worker is exceeded in at least one week. Furthermore, show how the chassis fabrication plan devised in part $($a$)$ can be modified so as to meet the master schedule requirements without exceeding the worker's capacity, and without changing the plans for electronic board purchase or radio assembly. $(15$ points$)$