The concert promoters of a heavy-metal band, WeR2Loud, know that there are two types of concert-goers: die-hard fans and casual fans. For a particular WeR2Loud concert, there are 1,000 die-hard fans who will pay $150 for a ticket and 500 casual fans who will pay $50 for a ticket. There are 1,500 seats available at the concert venue. Suppose the cost of putting on the concert is $50,000, which includes the cost of the band, lighting, security, etc. How much additional profit can the concert promoters earn by charging each customer their willingness to pay relative to charging a flat price of $50 per ticket?

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