Given the production function (,K) = 1 3K 1 3 , find the long-run cost minimizing input combination L and K as functions of q, w and r, where q is the output level the firm is producing. Write the cost function.

Upscale hotels in the united states recently cut their prices by 20 percent in an effort to bolster dwindling occupancy rates among business travelers. a survey performed by a major research organization indicated that businesses are wary of current economic conditions and are now resorting to electronic media, such as the internet and the telephone, to transact business. assume a company's budget permits it to spend $5,000 per month on either business travel or electronic media to transact business. graphically illustrate how a 20 percent decline in the price of business travel would impact this company's budget set if the price of business travel was initially $1,000 per trip and the price of electronic media was $500 per hour. suppose that, after the price of business travel drops, the company issues a report indicating that its marginal rate of substitution between electronic media and business travel is 1. is the company allocating resources efficiently? explain.

cranium, inc., purchases term papers from an overseas supplier under a continuous review system. the average demand for a popular mode is 300 units a day with a standard deviation of 30 units a day. it costs $60 to process each order and there is a five−day lead−time. the holding cost for a paper is $0.25 per year and the company policy is to maintain a 98% service level. cranium operates 200 days per year.what is the reorder point r to satisfy a 98% cycleminus−service level? a. greater than 1,700 unitsb. greater than 1,600 units but less than or equal to 1,700 unitsc. greater than 1,500 units but less than or equal to 1,600 unitsd. less than or equal to 1,500 units

Agovernment receives a gift of cash and investments with a fair value of $200,000. the donor specified that the earnings from the gift must be used to beautify city-owned parks and the principal must be re-invested. the $200,000 gift should be accounted for in which of the following funds? a) general fund b) private-purpose trust fund c) agency fund d) permanent fund