Suppose a t-shirt manufacturer currently sells 5,000 t-shirts per week and makes a profit of $10,000 per week. a manager at the plant observes, "although the last 400 t-shirts we produced and sold increased our revenue by $4,000 and our costs by $4,800, we are still making an overall profit of $10,000 per week so i think we're on the right track. we are producing the optimal number of t-shirts

Aproduction line has three machines a, b, and c, with reliabilities of .96, .86, and .85, 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 line’s reliability. plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. in either case, three machines (a, b, and c) would be used with reliabilities equal to the original three. a. compute overall system reliability under plan 1. (round your intermediate calculations and final answer to 4 decimal places.) reliability b. compute overall system reliability under plan 2. (round your intermediate calculations and final answer to 4 decimal places.) reliability c. which plan will provide the higher reliability? plan2plan1