1. should the corporations work together or compete for labor? why?
2. how many people should the corporations hire each round? why?
3. what would be the best starting wage for the corporations to offer? explain.
4. who benefits from this process? how?
5. who might be harmed in this process? how?

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?