The base of an aquarium with given volume v is made of slate and the sides are made of glass. if slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials. (let x, y, and z be the dimensions of the aquarium. enter your answer in terms of v.)

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

You are chairman of the board of a successful technology firm. there is a nominal federal corporate tax rate of 35 percent, yet the effective tax rate of the typical corporation is about 12.6%. your firm has been clever with use of transfer pricing and keeping money abroad and has barely paid any taxes over the last 5 years; during this same time period, profits were $28 billion. one member of the board feels that it is un-american to use various accounting strategies in order to avoid paying taxes. others feel that these are legal loopholes and corporations have a fiduciary responsibility to minimize taxes. one board member quoted what the ceo of exxon once said: “i’m not a u.s. company and i don’t make decisions based on what’s good for the u.s.” what are the alternatives? what are your recommendations? why do you recommend this course of action?

Fabian got into an accident on his way to work. he had multiple fractures in his leg. his doctor advised strict bed rest for at least three months.fabian is a freelance wildlife photographer who usually works on a contract basis, and this is his primary source of income. before the accident, fabian was planning his finances. which goal of his financial plan would fabian in getting through without pay for the next three months? the goal that requires the creation of a/an would fabian get through the next three months without pay.