Earl sells lemonade in a competitive market on a busy street corner in Philadelphia. His production function is f(x1, x2) = x1^1/3 x2^1/3, where output is measured in gallons, x1 is the number of pounds of lemons he uses, and x2 is the number of labor-hours spent squeezing them. (i) Does Earl have constant, decreasing, or increasing returns to scale?
(ii) Let w1 and w2 denote the cost of a pound of lemon and the wage rate for lemon squeezers, respectively. Write down Earl’s cost minimization problem.
(iii) Solve Earl’s cost minimization problem.
(iv) What is Earl’s cost function?

Elliott company produces large quantities of a standardized product. the following information is available for its production activities for march. units costs beginning work in process inventory 2,500 beginning work in process inventory started 25,000 direct materials $ 3,725 ending work in process inventory 5,000 conversion 11,580 $ 15,305 status of ending work in process inventory direct materials added 185,750 materials—percent complete 100 % direct labor added 182,375 conversion—percent complete 30 % overhead applied (140% of direct labor) 255,325 total costs to account for $ 638,755 ending work in process inventory $ 62,530 prepare a process cost summary report for this company, showing costs charged to production, unit cost information, equivalent units of production, cost per eup, and its cost assignment and reconciliation. use the weighted-average method. (round "cost per eup" to 2 decimal places.)

University car wash built a deluxe car wash across the street from campus. the new machines cost $219,000 including installation. the company estimates that the equipment will have a residual value of $19,500. university car wash also estimates it will use the machine for six years or about 12,500 total hours. actual use per year was as follows: year hours used 1 3,100 2 1,100 3 1,200 4 2,800 5 2,600 6 1,200 prepare a depreciation schedule for six years using the following methods: 1. straight-line. 2. double-declining-balance. 3. activity-based.

Suppose an economy has only two sectors: goods and services. each year, goods sells 80% of its outputs to services and keeps the rest, while services sells 62% of its output to goods and retains the rest. find equilibrium prices for the annual outputs of the goods and services sectors that make each sector's income match its expenditures.