The function t(x) = 0.15(x-3000)+ 300 represents the tax bill t of a single person whose adjusted gross income is x dollars for income between $3000 and $68, 200, inclusive.

(a) what is the domain of this linear function?
(b) what is a single filer's tax bill if the adjusted gross income is $16,000?
(c) which variable is independent and which is dependent?
(d) graph the linear function over the domain specified in part (a).
(e) what is a single filer's adjusted gross income if the tax bill is $4170?

Assume that the following conditions exist: a. all banks are fully loaned up- there are no excess reserves, and desired excess reserves are always zero. b. the money multiplier is 5 .     c. the planned investment schedule is such that at a 4 percent rate of interest, investment =$1450 billion. at 5 percent, investment is $1420 billion. d. the investment multiplier is 3 . e.. the initial equilibrium level of real gdp is $12 trillion. f. the equilibrium rate of interest is 4 percent now the fed engages in contractionary monetary policy. it sells $1 billion worth of bonds, which reduces the money supply, which in turn raises the market rate of interest by 1 percentage point. calculate the decrease in money supply after fed's sale of bonds: $nothing billion.

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.

1. what are the unique operational challenges to delivering fresh meals? 2. why is speed of delivery so important for delivered meals? what variety of options contribute to this performance metric? 3. how could operations management concepts be utilized to improve the performance of freshly? 4. what are your typical product delivery times? what would be required to speed these up? 5. what are your delivery batch quantities? how could you reduce batch size and reduce delivery cost simultaneously using operations management concepts?