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?

Down under products, ltd., of australia has budgeted sales of its popular boomerang for the next four months as follows: unit salesapril 74,000may 85,000june 114,000july 92,000the company is now in the process of preparing a production budget for the second quarter. past experience has shown that end-of-month inventory levels must equal 10% of the following month’s unit sales. the inventory at the end of march was 7,400 units. required: prepare a production budget by month and in total, for the second quarter.

The cost of the beginning work in process inventory was comprised of $3,000 of direct materials, $10,000 of direct labor, and $10,000 of factory overhead. costs incurred during the period were comprised of $15,000 of direct materials costs, and $100,000 of conversion costs. the equivalent units of production (eup) for the period were 9,000 for direct materials and 6,000 for conversion. the costs per eup were:

River corp's total assets at the end of last year were $415,000 and its net income was $32,750. what was its return on total assets? a. 7.89%b. 8.29%c. 8.70%d. 9.14%e. 9.59%