the city council wants to curb emissions by half and decides to auction off four permits, each of which entitles the bearer to emit 1 ton of smoke per day. no smoke may be emitted without a permit. suppose the government conducts the auction by starting at $1 and asking how many permits each firm wants to buy at that price. if the total is more than four, it then raises the price by $1 and asks again, and so on, until the total quantity of demanded permits falls to four.

Five times the sum of a number and 27 is greater then or equal to six times the of that number and 26. what is the solution set to this proportion?

You are the new chief information officer for the video-game developer, necturus games. the company has recently undergone a major expansion of its primary product, and you must staff up the is department and determine the best way to develop new game "capsules" for the game, "escape velocity."

Electronics assembly inc. is a contract manufacturer that assembles consumer electronics for a number of companies. currently, the operations manager is assessing the capacity requirements as input into a bid for a job to assemble cell phones for a major global company. the company would assemble three models of cell phones in the same assembly cell. setup time between the phones is negligible. electronics assembly inc. operates two 8-hour shifts for 275 days per year. cell phone demand forecast (phones/year) processing time (minutes/phone) mars 47,000 19.8 saturn 35,000 20.7 neptune 7,500 16.2 a. calculate total capacity required by line. b. determine the total operating time available. c. calculate the total number of assembly cells. (round up your answer to the next whole number.)