Rumba Dance Hall is considering offering a wedding reception package that includes the ballroom rental, decorations, a wedding cake, punch, and paper goods for $6,000. Currently, the company is renting the ballroom with no extras at $4,500. The extras will cost $800. Determine if the new package is profitable and by how much.

Acompany manufactures hair dryers. it buys some of the components, but it makes the heating element, which it can produce at the rate of 920 per day. hair dryers are assembled daily, 250 days a year, at a rate of 360 per day. because of the disparity between the production and usage rates, the heating elements are periodically produced in batches of 2,300 units. a. approximately how many batches of heating elements are produced annually? b. if production on a batch begins when there is no inventory of heating elements on hand, how much inventory will be on hand 4 days later? c. what is the average inventory of elements, assuming each production cycle begins when there are none on hand?

Rachel died in 2014 and her executor is finalizing her estate tax return. the executor has determined that rachel’s adjusted gross estate is $10,120,000 and that her estate is entitled to a charitable deduction in the amount of $500,000. using 2014 rates, calculate the estate tax liability for rachel’s estate.

When a company produces and sells x thousand units per week, its total weekly profit is p thousand dollars, where upper p equals startfraction 800 x over 100 plus x squared endfraction . the production level at t weeks from the present is x equals 4 plus 2 t. find the marginal profit, startfraction dp over dx endfraction and the time rate of change of profit, startfraction dp over dt endfraction . how fast (with respect of time) are profits changing when tequals8?