John Carter, the CEO of Carter Steels, is concerned about the sudden rise in employee attrition in his organization. He asks Walter, the human resources manager, to provide him with the last quarter's report showing the rate of attrition. Walter, however, sends the salary details of the new hires for the last quarter. This report is of no use to Carter as it is .

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?