Two people are engaged in a joint project. If each person i puts in the effort xi, a nonnegative number equal to at most 1, which costs her c(xi), the outcome of the project is worth f(x1,x2). The worth of the project is split equally between the two people, regardless of their effort levels. Formulate this situation as a strategic game. Find the Nash equilibria of the game when (a) f(x1,x2) = 3x1x2 and c(xi) = x2i for i = 1,2, and (b) f(x1,x2) = 4x1x2 and c(xi) = xi for i = 1,2. In each case, is there a pair of effort levels that yields higher payoffs for both players than do the Nash equilibrium effort levels?

Walsh company manufactures and sells one product. the following information pertains to each of the company’s first two years of operations: variable costs per unit: manufacturing: direct materials $ 25 direct labor $ 12 variable manufacturing overhead $ 5 variable selling and administrative $ 4 fixed costs per year: fixed manufacturing overhead $ 400,000 fixed selling and administrative expenses $ 60,000 during its first year of operations, walsh produced 50,000 units and sold 40,000 units. during its second year of operations, it produced 40,000 units and sold 50,000 units. the selling price of the company’s product is $83 per unit. required: 1. assume the company uses variable costing: a. compute the unit product cost for year 1 and year 2. b. prepare an income statement for year 1 and year 2. 2. assume the company uses absorption costing: a. compute the unit product cost for year 1 and year 2. b. prepare an income statement for year 1 and year 2. 3. reconcile the difference between variable costing and absorption costing net operating income in year 1.

Which term best fits the sentence? is the process of reasoning, analyzing, and making important decisions. it’s an important skill in making career decisions. a. critical thinking b. weighing pros and cons c. goal setting

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.