Last month, when 10,000 units of a product were manufactured, the cost per unit was $60. At this level of activity, variable costs are 30% of total unit costs for $18. If 9,500 units are manufactured next month and cost behavior patterns remain unchanged then: unit variable cost will remain unchanged; total fixed costs will not increase; fixed cost per unit will increase; and total cost per unit will decrease.

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?