In a simple scenario of with only two factors of production, suppose that capital’s share of income is 0.4 and labour’s share is 0.6 and that annual growth rate of capital and labour are 6 and 2 percent, respectively. Assume there is no technical change.

a) At what rate does output grow?

b) How long will it take for output to double?

c) Now suppose technology grows at a rate of 2 percent. Recalculate your answers to (a) and (b).

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Acompany is developing a new high­performance wax for cross country ski racing. in order to justify the price marketingwants, the wax needs to be very fast. specifically, the mean time to finish their standard test course should be less thanseconds for a former olympic champion. to test it, the champion will ski the course 8 times. the champion's times(selected at random) are 59.9 61.9 48.8 52.2 46.6 45.3 50.6 and 41.1 seconds to complete the test course. complete parts a and b below. a) should they market the wax? assume the assumptions and conditions for appropriate hypothesis testing are metfor the sample. assume=0.05. what are the null and alternative hypotheses? choose the correct answer below. b) suppose they decide not to market the wax after the test, but it turns out that the wax really does lower the champion'saverage time to less thanseconds. what kind of error have they made? explain the impact to the company of such anerror.

Sweeten company had no jobs in progress at the beginning of march and no beginning inventories. the company has two manufacturing departments--molding and fabrication. it started, completed, and sold only two jobs during march—job p and job q. the following additional information is available for the company as a whole and for jobs p and q (all data and questions relate to the month of march): molding fabrication total estimated total machine-hours used 2,500 1,500 4,000 estimated total fixed manufacturing overhead $ 10,000 $ 15,000 $ 25,000 estimated variable manufacturing overhead per machine-hour $ 1.40 $ 2.20 job p job q direct materials $ 13,000 $ 8,000 direct labor cost $ 21,000 $ 7,500 actual machine-hours used: molding 1,700 800 fabrication 600 900 total 2,300 1,700 sweeten company had no underapplied or overapplied manufacturing overhead costs during the month. required: for questions 1-8, assume that sweeten company uses a plantwide predetermined overhead rate with machine-hours as the allocation base. for questions 9-15, assume that the company uses departmental predetermined overhead rates with machine-hours as the allocation base in both departments. 1. what was the company’s plantwide predetermined overhead rate? (round your answer to 2 decimal places.) next