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?

Needs 83,000 optical switches next year (assume same relevant range). by outsourcing them, worldsystems can use its idle facilities to manufacture another product that will contribute $ 140,000 to operating income, but none of the fixed costs will be avoidable. should worldsystems make or buy the switches? show your analysis.

Gino's restaurant is a popular restaurant in boston, massachusetts. the owner of the restaurant has been trying to better understand costs at the restaurant and has hired a student intern to conduct an activity-based costing study. the intern, in consultation with the owner, identified the following major activities: activity cost pool activity measure serving a party of diners number of parties served serving a diner number of diners served serving drinks number of drinks ordered some costs, such as the cost of cleaning the linens that cover the restaurant's tables, vary with the number of parties served. other costs, such as washing plates and glasses, depends on the number of diners served or the number of drinks served. data concerning these activities are shown below. serving a party serving a dinner serving drinks total total cost $47,600 $153,000 $59,800 $260,400 total activity 7,000 parties 30,000 diners 46,000 drinks prior to the activity-based costing study, the owner knew very little about the costs of the restaurant. she knew that the total cost for the month was $260,400 and that 30,000 diners had been served. therefore, the average cost per diner was $8.68.required: 1. compute the activity rates for each of the three activities 2. according to the activity-based costing system, what is the total cost of serving each of the following parties of diners? a. a party of four diners who ordered three drinks in total b. a party of two diners who do not order any drinks c. a lone diner who orders two drinks 3. convert the total costs you computed in part (1) above to costs per diner. in other words, what is the average cost per diner for serving each of the following parties: a. a party of four diners who order three drinks in total b. a party of two diner who do not order any drinks c. a lone diner who orders two drinks 4. why do the costs per diner for the three different parties differ from each other and from the overall average coast of $9.80 per diner?

Selected data for stick’s design are given as of december 31, year 1 and year 2 (rounded to the nearest hundredth). year 2 year 1 net credit sales $25,000 $30,000 cost of goods sold 16,000 18,000 net income 2,000 2,800 cash 5,000 900 accounts receivable 3,000 2,000 inventory 2,000 3,600 current liabilities 6,000 5,000 compute the following: 1. current ratio for year 2 2. acid-test ratio for year 2 3. accounts receivable turnover for year 2 4. average collection period for year 2 5. inventory turnover for year 2