2. A bank is attempting to determine where its assets should be invested during the current year. At present, $500,000 is available for investment in bonds, home loans, auto loans, and personal loans. The annual rates of return on each type of investment are known to be the following: bonds, 10%; home loans, 16%; auto loans, 13%; personal loans, 20%. To ensure that the bank’s portfolio is not too risky, the bank’s investment manager has placed the following three restrictions on the bank’s portfolio: • The amount invested in personal loans cannot exceed the amount invested in bonds. • The amount invested in home loans cannot exceed the amount invested in auto loans. • No more than 25% of the total amount invested may be in personal loans. Develop a linear model to help the bank determine the optimal amount to invest in each type of investment to maximize the annual return on its investment portfolio.

Depreciation on the company's equipment for 2017 is computed to be $18,000.the prepaid insurance account had a $6,000 debit balance at december 31, 2017, before adjusting for the costs of any expired coverage. an analysis of the company's insurance policies showed that $1,100 of unexpired insurance coverage remains.the office supplies account had a $700 debit balance on december 31, 2016; and $3,480 of office supplies were purchased during the year. the december 31, 2017, physical count showed $300 of supplies available.two-thirds of the work related to $15,000 of cash received in advance was performed this period.the prepaid insurance account had a $6,800 debit balance at december 31, 2017, before adjusting for the costs of any expired coverage. an analysis of insurance policies showed that $5,800 of coverage had expired.wage expenses of $3,200 have been incurred but are not paid as of december 31, 2017.

Simon, aged 10, is invited to a classmate's birthday party at an exclusive ski resort on march 15th. the day will include 4 hours of snowboarding, lunch and birthday cake. simon's mother checks a box on the invitation that says "yes, we will attend" and returns it to the classmate's address. unfortunately, they later don't attend the party when simon comes down with the flu. on march 17th, simon's mother receives an invoice in the mail from simon's classmate for $35 that says, "party no-show fee." can simon's classmate collect the fee?

Popeye produces 20 cans of spinach in 8 hours. wimpy produces 15 hamburgers in 10 hours. if each hamburger trades for 1.5 cans of spinach, then: a.wimpy’s production and productivity are greater than popeye’s. b.popeye’s production is greater than wimpy’s, but his productivity is less. c.wimpy’s production is greater than popeye’s, but his productivity is less. d.popeye’s production and productivity are greater than wimpy’s.