At the break-even point, a. total revenue equals variable cost. b. total margin of safety equals variable cost. c. total contribution margin equals total fixed cost. d. total sales equals total fixed cost. e. total fixed cost equals variable cost.

The county collector of suncoast county is responsible for collecting all property taxes levied by funds and governments within the boundaries of the county. to reimburse the county for estimated administrative expenses of operating the tax agency fund, the agency fund deducts 1.5 percent from the collections for the town, the school district, and the other towns. the total amount deducted is added to the collections for the county and remitted to the suncoast county general fund.the following events occurred in 2017: 1. current-year tax levies to be collected by the agency were: county general fund $ 10,333,000 town of bayshore general fund 4,840,000 suncoast county consolidated school district 6,550,000 other towns 3,120,000 total $ 24,843,000 2. $13,700,000 of current taxes was collected during the first half of 2017.3. liabilities to all funds and governments as a result of the first half-year collections were recorded. (a schedule of amounts collected for each participant, showing the amount withheld for the county general fund and net amounts due the participants, is recommended for determining amounts to be recorded for this transaction.)4. all cash in the tax agency fund was distributed.requireda. prepare journal entries for each of the foregoing transactions that affected the tax agency fund. (if no entry is required for a transaction/event, select "no journal entry required" in the first account field. do not round intermediate calculations. round your answers to the nearest whole dollar amount.)1. record the current-year tax levies to be collected by the agency.2.record the current taxes collected during the first half of 2017.3.record the liabilities due to all funds and governments at the end of first half-year.4. record the distribution of all cash in the tax agency fundb. prepare journal entries for each of the foregoing entries that affected the town of bayshore general fund. begin with the tax levy entry, assuming 2 percent of the gross levy will be uncollectible. (if no entry is required for a transaction/event, select "no journal entry required" in the first account field. do not round intermediate calculations. round your answers to the nearest whole dollar amount.)1.record the revenues receivable and uncollectible.2. record the taxes collected

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $

Imagine us is a startup that offers high definition 3d prenatal ultrasounds for high-end customers. the service process includes four activities that are conducted in the sequence described below. (the time required for each activity is shown in parentheses): activity 1: welcome a patient and explain the procedure. (20 minutes)activity 2: prep the patient (e.g., show them to the room, apply ultrasound gel). (17 minutes) (*your id number represents the amount of time needed to complete this task)activity 3: take images. (5 minutes)activity 4: discuss diagnostic with patient. (20 minutes)at each location there are employees (servers) s1, s2, and s3. the assignment of tasks to servers is the following: s1 does activities 1 and 2.s2 does activity 3.s3 does activity 4.a. what is the capacity of this process (in customers per hour)? b. suppose 3 patients arrive every hour on average. ignoring any “start of day” or “end of day” effects, what are the utilizations of all three servers (%)? c. suppose each activity can be done by any server and any server can do any set of activities. however, each activity is done by only one server. for example, a possible assignment includes: s1 does activity 1, s2 does activity 2, and s3 does activities 3 and 4. of course, the original assignment of servers to activities is also feasible. what is the maximum capacity of the process (in customers per hour)? d. now consider the capacity measures in (c) and (a), what is the percentage change? why can you improve capacity without using additional resources? (there is no free lunch, right? )note: for all hw assignments, show your process of getting the results. only providing the final answers is not acceptable and will get 0%. if necessary, use a separate sheet of paper to show your work.