The Knee-Hugger Jeans Company makes designer jeans in six colors under a make-to-stock approach. In response to a new fashion craze, customers have expressed the desire to acquire these jeans in three different styles-namely regular, tight-fit and relaxed-fit styles, with and without "stylish" holes, and with one of four cuts for the pants leg: boot-cut, bell-bottom cut, flared-cut or regular cut. How many different combinations of unique end items would this company have to inventory?

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