Suppose 20 people each have the demand q=20−p for streetlights, and 5 people have the demand q=18−2p for streetlights. the cost of building each streetlight is $10. if it is impossible to purchase a fractional number of streetlights, how many streetlights are socially optimal?

Abakery wants to determine how many trays of doughnuts it should prepare each day. demand is normal with a mean of 5 trays and standard deviation of 1 tray. if the owner wants a service level of at least 95%, how many trays should he prepare (rounded to the nearest whole tray)? assume doughnuts have no salvage value after the day is complete.

Eliminating entries (including goodwill impairment) and worksheets for various years on january 1, 2013, porter company purchased an 80% interest in the capital stock of salem company for$850,000. at that time, salem company had capital stock of $550,000 and retained earnings of $80,000.differences between the fair value and the book value of the identifiable assets of salem company were asfollows: fair value in excess of book valueequipment$130,000land65,000inventory40,000the book values of all other assets and liabilities of salem company were equal to their fair values onjanuary 1, 2013. the equipment had a remaining life of five years on january 1, 2013. the inventory was sold in2013.salem company’s net income and dividends declared in 2013 and 2014 were as follows: year 2013 net income of $100,000; dividends declared of $25,000year 2014 net income of $110,000; dividends declared of $35,000required: a.prepare a computation and allocation schedule for the difference between book value of equity acquired andthe value implied by the purchase price.b.present the eliminating/adjusting entries needed on the consolidated worksheet for the year endeddecember 31, 2013. (it is not necessary to prepare the worksheet.)lo6lo1

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?