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?

Northington, inc. is preparing the company's statement of cash flows for the fiscal year just ended. using the following information, determine the amount of cash flows from operating activities using the indirect method: net income$182,000gain on the sale of equipment12,300proceeds from the sale of equipment92,300depreciation expense—equipment50,000payment of bonds at maturity100,000purchase of land200,000issuance of common stock300,000increase in merchandise inventory35,400decrease in accounts receivable28,800increase in accounts payable23,700payment of cash dividends32,000 $189,400.$332,200.$236,800.$261,400.$186,800.

The wall street journal reported that walmart stores inc. is planning to lay off 2,300 employees at its sam's club warehouse unit. approximately half of the layoffs will be hourly employees (the wall street journal, january 25-26, 2014). suppose the following data represent the percentage of hourly employees laid off for 15 sam's club stores. 55 56 44 43 44 56 60 62 57 45 36 38 50 69 65 (a) compute the mean and median percentage of hourly employees being laid off at these stores. (b) compute the first and third quartiles. (c) compute the range and interquartile range. (d) compute the variance and standard deviation. (e) do the data contain any outliers? (f) based on the sample data, does it appear that walmart is meeting its goal for reducing the number of hourly employees?

Evaluate a real situation between two economic actors; it could be any scenario: two competing businesses, two countries in negotiations, two kids trading baseball cards, you and another person involved in an exchange or anything else. use game theory to analyze the situation and the outcome (or potential outcome). be sure to explain the incentives, benefits and risks each face.