A production line has three machines A,B, and C, with rebabilites of 98,91 , and 81 , respectively The machines are arranged so that if one breaks down, the others must shut down. Engineers are weighing two alternative designs for increasing the hine's reliablity. Plan 1 involves adding an identical backup hine, and plan 2 involves providing a backup for each machine in either case, three machines (A. B, and C ) would be used with rellabilities equal to the onginal three a. Compute overall system reliability under Plan 1 (Round your intermedlate colculations and final ancwer to 4 decimal places.) b. Compute overall system rellabity under Plan 2 (Round your Intermediate calculations ond finol onswer to 4 declmal ploces.) c. Which plan will provide the higher rellability? Pran 1 Pian20