Lucia lives in Miami and loves to eat desserts. She spends her entire weekly allowance on yogurt and pie. A bowl of yogurt is priced at $1.50, and a piece of pecan pie is priced at $4.50. At her current consumption point, Lucia's marginal rate of substitution (MRS) of yogurt for pie is 3. This means that Lucia is willing to trade three bowls of yogurt per week for one piece of pie per week. Does Lucia's current bundle maximize her utility in other words, make her as well off as possible? If not, how should she change it to maximize her utility? a. Lucia's current bundle maximizes her utility, and she should keep it unchanged.
b. Lucia could increase her utility by buying more yogurt and less pie per week.
c. Lucia could increase her utility by buying less yogurt and more pie per week.

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