Consider a consumer whose utility function for income is given by square root of x. this consumer is offered a choice between: (1) a certain outcome of obtaining $225 and (2) a risky gamble which generates either an outcome of x1=$100 with probability pr(x1)=0.5, or an outcome of x2=$400 with probability pr(x2)=0.5. which of the following statements is true?
a. such a person prefers option 1 and she is risk averse. b. she is risk averse but still prefers option 2 since the expected value is higher c. such a person is indifferent between both option so that makes her risk neutral d. such a person is indifferent between the two choices and is risk averse. e. she prefers option 2 so that makes her risk loving.

Responsible for setting the goals and planning for the future as well as leading and controlling the work of others. out the decisions of top management. often responsible for various departments such as the production, marketing, and accounting departments. process or function of planning organizing leading and controlling. the resources arranged in an orderly and functional way to accomplish goals and objectives. the company on track and making sure goals are met. for the daily operations of a business. examples of this are supervisors, office managers, and crew leaders. act or process of creating goals and objectives as well as the strategies to meet them. for the daily operations of a business. examples of this are supervisors, office managers, and crew leaders. how the firm is structured and who is in charge of whom. direction and vision

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

If a hotel has 100 rooms, and each room takes 25 minutes to clean, how many housekeepers working 8-hour shifts does the hotel need at 50 percent occupancy?