By studying, will can produce a higher grade, gw, on an upcoming economics exam. his production function depends on the number of hours he studies marginal analysis problems, a, and the number of hours he studies supply and demand problems, r. specifically, gw = 2.5(a)^(0.36)b^(0.64). his roommate david's grade production function is gd=2.5a^(0.25)b^(0.75).

a. what is will's marginal productivity from studying supply and demand problems? what is david's?
b. what is will's marginal rate of technical substitution (mrts) between studying the two types of problems? what is davids?
c. is it possible that will and david have different marginal productivity functions but the same marginal rate of technical substitution functions? explain.

Nellie lumpkin, who suffered from dementia, was admitted to the picayune convalescent center, a nursing home. because of her mental condition, her daughter, beverly mcdaniel, signed the admissions agreement. it included a clause requiring the par- ties to submit any dispute to arbitration. after lumpkin left the center two years later, she filed a suit against picayune to recover damages for mistreatment and malpractice. [covenant health & rehabilitation of picayune, lp v. lumpkin, 23 so.2d 1092 (miss. app. 2009)] (see page 91.) 1. is it ethical for this dispute—involving negligent medical care, not a breach of a commercial contract—to be forced into arbitration? why or why not? discuss whether medical facilities should be able to impose arbitration when there is generally no bargaining over such terms.

Richardson hired j.c. flood company, a plumbing contractor, to correct a stoppage in the sewer line of her house. the plumbing company's 'snake' device, used to clear the line leading to the main sewer, became caught in the underground line. to release it, the company excavated a portion of the sewer line in richardson's backyard. in the process, the company discovered numerous leaks in a rusty, defective water pipe that ran parallel with the sewer line. to meet public regulations, the water pipe, of a type no longer approved for such service, had to be replaced either then or later, when the yard would have to be excavated again. the plumbing company proceeded to repair the water pipe. though richardson inspected the company's work daily and did not express any objection to the extra work involved in replacing the water pipe, she refused to pay any part of the total bill after the company completed the entire operation. j.c. flood company then sued richardson for the costs of labor and material it had furnished. (c) for what, if anything, should richardson be liable? explain."

Florence invested in a factory requiring. federally-mandated reductions in carbon emissions. how will this impact florence as the factory's owner? a. her factory will be worth less once the upgrades are complete. b. her factory will likely be bought by the epa. c. florence will have to invest a large amount of capital to update the factory for little financial gain. d. florence will have to invest a large amount of capital to update the factory for a large financial gain.