Digby's Elite product Dome has an awareness of 72%. Digby's Dome product manager for the Elite segment is determined to have more awareness for Dome than Andrews' Elite product Ace. She knows that the first $1M in promotion generates 22% new awareness, the second million adds 23% more and the third million adds another 5%. She also knows one-third of Dome's existing awareness is lost every year. Assuming that Ace's awareness stays the same next year (77%), out of the promotion budgets below, what is the minimum Digby's Elite product manager should spend in promotion to earn more awareness than Andrews' Ace product

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?