Suppose life expectancy in years (L) is a function of two inputs, health expenditures (H) and nutrition expenditures (N) in hundreds of dollars per year. The production function is Upper L equals cH Superscript 0.80 Baseline Upper N Superscript 0.20L=cH0.80N0.20. Beginning with c = 1, a health input of $300300 per year (Hequals=33) and a nutrition input of $500500 per year (Nequals=55), show that the marginal product of health expenditures and the marginal product of nutrition expenditures are both decreasing. The marginal product of health expenditures when H goes from 33 to 44 is nothing, and the marginal product of health when H goes from 55 to 66 is nothing. (Round your answers to three decimal places.) The marginal product of nutrition expenditures when N goes from 55 to 66 is nothing, and the marginal product of nutrition when N goes from 77 to 88 is nothing. (Round your answers to three decimal places.)

Fred smithers, a recent college graduate decided to open his own portable juice bar, smithers smoothies, to wheel around newport beach. you, a trusted friend of fred, are a business major that has also recently graduated and agreed to handle the books for a while to get some practical experience and have a favor that you can ask of fred in the future. given the following five transactions concerning the new venture, prepare the necessary journal entries for the transactions, post the journal entries to appropriate t accounts and prepare a trial balance as of the end of the month in order to answer to the necessary may 2: fred invests $12,000 of his own money to start the new company. this money was obtained from a part-time job working at a legal firm while he was in school. may 3: fred spent $5,100 cash to purchase a refrigerated trailer that he can pull behind his car and set up at the beach. under your advice, fred agrees to place the new asset under an account called "equipment." may 6: fred bought $640 of supplies on account from the flav-o-rite confectioners company. because they will last longer than a single accounting period fred agrees to record them as, "supplies" as per your suggestion. may 13: fred sat on the beach for six hours without a single sale and was feeling very down. right before he left, however, a plumber escorting his family reunion along the beach stopped by his stand and bought $800 worth of smoothies for the entire family. under your advice, fred agrees to call this cash revenue, "sales." may 15: excited about his new venture, fred withdraws $350 from the company to take his girlfriend out to dinner. what would be the balance in the cash account at the end of the period following the posting of all the transactions?

Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers. firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?

He interest rate effect is the change in real gdp caused by the federal reserve adjusting target interest rates. is the change in consumer and investment spending due to changes in interest rates resulting from changes in the aggregate price level. is the change in exports and imports, resulting from changes in the interest rate caused by changes in the aggregate price level. is the change in investment spending and government purchases caused by changes in money demand. is the change in interest rates, caused by changes to government purchases.