You have been asked to compile a summary of your company's current competitive position for a specific product line. The report will be used as a key input to business and product goal setting for the coming year. Define the four factors you will need to consider to ensure the usefulness of the report and provide an example of how you could incorporate each factor.

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?