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Bakery has bought 250 pounds of muffin dough. they want to make waffles or muffins in half-dozen packs out of it. half a dozen of muffins requires 1 lb of dough and a pack of waffles uses 3/4 lb of dough. it take bakers 6 minutes to make a half-dozen of waffles and 3 minutes to make a half-dozen of muffins. their profit will be $1.50 on each pack of waffles and $2.00 on each pack of muffins. how many of each should they make to maximize profit, if they have just 20 hours to do everything?

Nell and kirby are in the process of negotiating their divorce agreement. what should be the tax consequences to nell and kirby if the following, considered individually, became part of the agreement? a. in consideration for her one-half interest in their personal residence, kirby will transfer to nell stock with a value of $200,000 and $50,000 of cash. kirby's cost of the stock was $150,000, and the value of the personal residence is $500,000. they purchased the residence three years ago for $300,000.nell's basis for the stock is $ xkirby's basis in the house is $ xb. nell will receive $1,000 per month for 120 months. if she dies before receiving all 120 payments, the remaining payments will be made to her estate.the payments (qualify, do not qualify) as alimony and are (included in, excluded from) nell's gross income as they are received.c. nell is to have custody of their 12-year-old son, bobby. she is to receive $1,200 per month until bobby (1) dies or (2) attains age 21 (whichever occurs first). after either of these events occurs, nell will receive only $300 per month for the remainder of her life.$ x per month is alimony that is (included in, excluded from) nell's gross income, and the remaining $ x per month is considered (child support, property settlement) and is (nontaxable, taxable) to nell.

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