Economists use the word marginal to mean an extra or additional benefit or cost of a decision. An optimal decision occurs when

Goods and services that can be used for the same purpose are and goods and services that are used together are

Mr. smith recently faced a choice between being (a) an economics profes-sor, which pays $60,000/yr, or (b) a safari leader, which pays $50,000/yr. after careful deliberation, smith took the safari job, but it was a close call. "for a dollar more," he said, "i'd have gone the other way."now smith's brother-in-law approaches him with a business proposition. the terms are as follows: - smith must resign his safari job to work full-time in his brother-in-law's business.- smith must give his brother-in-law an interest-free loan of $100,000, which will be repaid in full if and when smith leaves the business. (smith currently has much more than $100,000 in the the business will pay smith a salary of $70,000/yr. he will receive no other payment from the business.the interest rate is 10 percent per year. apart from salary considerations, smith feels that working in the business would be just as enjoyable as being an economics professor. for simplicity, assume there is no uncertainty regarding either smith's salary in the proposed business or the security of his monetary investment in it. should smith join his brother-in-law and, if so, how small would smith's salary from the business have to be to make it not worthwhile for him to join? if not, how large would smith's salary from the business have to be to make it worthwhile for him to join?

Explain whether each of the following events increases, decreases, or has no effect on the unemployment rate and the labor-force participation rate.a. after a long search, jon finds a job.b. tyrion, a full-time college student, graduates and is immediately employed.c. after an unsuccessful job search, arya gives up looking and retires.d. daenerys quits her job to become a stay-at-home mom.e. sansa has a birthday, becomes an adult, but has no interest in working.f. jaime has a birthday, becomes an adult, and starts looking for a job.g. cersei dies while enjoying retirement.h. jorah dies working long hours at the office.