Arectangular storage container with an open top has a volume of 14 m3. the length of its base is twice its width. material for the base costs $5 per square meter; material for the sides costs $4 per square meter. express the cost of materials as a function of the width of the base.

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.

Diversified semiconductors sells perishable electronic components. some must be shipped and stored in reusable protective containers. customers pay a deposit for each container received. the deposit is equal to the container’s cost. they receive a refund when the container is returned. during 2018, deposits collected on containers shipped were $856,000. deposits are forfeited if containers are not returned within 18 months. containers held by customers at january 1, 2018, represented deposits of $587,000. in 2018, $811,000 was refunded and deposits forfeited were $41,000. required: 1. prepare the appropriate journal entries for the deposits received and returned during 2018. 2. determine the liability for refundable deposits to be reported on the december 31, 2018, balance sheet.

U.s. internet advertising revenue grew at the rate of r(t) = 0.82t + 1.14 (0 ≤ t ≤ 4) billion dollars/year between 2002 (t = 0) and 2006 (t = 4). the advertising revenue in 2002 was $5.9 billion.† (a) find an expression f(t) giving the advertising revenue in year t.