Mitch needs to get his taxes sent out by April 15th. He decides that he will have all of his material ready to bring to the accountant by February 1st. He will set up an initial meeting with the accountant on March 1st and follow-up meeting to finalize his return on April 1st. He can then send his return to the IRS by the deadline. Mitch is most clearly using to help him meet the tax deadline.

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?