Consumer's utility is 3x+4y. What is the optimal consumption bundle if income is 60, price of x is 6 and price of y is 5?

Morgana company identifies three activities in its manufacturing process: machine setups, machining, and inspections. estimated annual overhead cost for each activity is $168,000, $315,900, an $97,200, respectively. the cost driver for each activity and the expected annual usage are number of setups 2,100, machine hours 24,300, and number of inspections 1,800. compute the overhead rate for each activity. machine setups $ per setup machining $ per machine hour inspections $ per inspection

In a small group, members have taken on the task roles of information giver, critic/analyzer, and recorder, and the maintenance roles of gatekeeper and follower. they need to fulfill one more role. which of the following would be most effective for their group dynamics? a dominator b coordinator c opinion seeker d harmonizer

Anew 2-lane road is needed in a part of town that is growing. at some point the road will need 4 lanes to handle the anticipated traffic. if the city's optimistic estimate of growth is used, the expansion will be needed in 4 years and has a probability of happening of 40%. for the most likely and pessimistic estimates, the expansion will be needed in 8 and 15 years respectively. the probability of the pessimistic estimate happening is 20%. the expansion will cost $ 4.2 million and the interest rate is 8%. what is the expected pw the expansion will cost?