1. consider the production function q = (0.5k1/3 + 0.5l1/3)3 . suppose the firms want to minimize the cost of producing 8 units of output. it pays a wage rate w of $40 and capital cost r of $10. how many units of labor and capital should the firm use?

12. nelson corporation, which has only one product, has provided the following data concerning its most recent month of operations: selling price $ 115 units in beginning inventory 380 units produced 5,900 units sold 6,070 units in ending inventory 210 variable costs per unit: direct materials $ 46 direct labor $ 27 variable manufacturing overhead $ 3 variable selling and administrative $ 12 fixed costs: fixed manufacturing overhead $ 112,100 fixed selling and administrative $ 36,420 the company produces the same number of units every month, although the sales in units vary from month to month. the company's variable costs per unit and total fixed costs have been constant from month to month. a. prepare a contribution format income statement for the month using variable costing. unit product cost under variable costing direct materials direct labor variable manufacturing overhead variable costing unit product cost (formula)

Ben collins plans to buy a house for $166,000. if the real estate in his area is expected to increase in value by 2 percent each year, what will its approximate value be five years from now?

Galwaysc electronics makes two products. model a requires component a and component c. model b requires component b and component c. new versions of both models are released each year with updated versions of all components. all components are sourced overseas, and abc contracts annually for a quantity of each component before seeing that year’s demand. components are only assembled into finished products once demand for each model is known. for the coming year, alwaysc’s purchasing manner has proposed ordering 500,000 units of component a, 630,000 of component b, and 1,000,000 units of component c. her boss has asked why she has recommended purchasing so much of components a and b when alwaysc will not have enough of component c to fully use all of the inventory of a and b. what factors might the purchasing manager cite to explain her recommended order? explain your reasoning.