Suppose that the production function faced by a 30-weight ball bearing producer is given by Q=4K0.5L 0.5. Do both labor and capital display diminishing marginal products? Find the marginal rate of technical substitution for this production function. (Hint: MRTS = MPL/MPK.) Does this production function display a diminishing marginal rate of substitution?

Blue spruce corp. has the following transactions during august of the current year. aug. 1 issues shares of common stock to investors in exchange for $10,170. 4 pays insurance in advance for 3 months, $1,720. 16 receives $710 from clients for services rendered. 27 pays the secretary $740 salary. indicate the basic analysis and the debit-credit analysis.

Areal estate agent is considering changing her cell phone plan. there are three plans to choose from, all of which involve a monthly service charge of $20. plan a has a cost of $.42 a minute for daytime calls and $.17 a minute for evening calls. plan b has a charge of $.52 a minute for daytime calls and $.15 a minute for evening calls. plan c has a flat rate of $80 with 275 minutes of calls allowed per month and a charge of $.38 per minute beyond that, day or evening.a. determine the total charge under each plan for this case: 150 minutes of day calls and 70 minutes of evening calls in a month. (do not round intermediate calculations. round your answer to 2 decimal places. omit the "$" sign in your response.)c. if the agent will use the service for daytime calls, over what range of call minutes will each plan be optimal? (round each answer to the nearest whole number.include the indifference point itself in each answer.)d. suppose that the agent expects both daytime and evening calls. at what point (i.e., percentage of total call minutes used for daytime calls) would she be indifferent between plans a and b?

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