You have been asked to analyze the queue for registrations for a popular msom seminar at a major national conference. conference attendees arrive to register at the rate of 5 people every 15 minutes (poisson distributed). it takes each host, any number of which can be hired directly through the conference at the cost of $17 per hour, 7 minutes to register a guest, following a negative exponential distribution. the conference recognizes a waiting cost of $40 per hour per guest in line. a single waiting line is set up, but can accommodate multiple servers.

what is the minimum number of hosts that could be hired for this system?
what is the optimal number of servers needed to minimize total costs?
rounded to the nearest dollar, what is total cost for the system (including waiting and service costs) at the optimal number of servers if the registration desk is open for an 8 hour day?
at the optimal number of servers, what is the average time a guest would spend waiting to register?

Miller mfg. is analyzing a proposed project. the company expects to sell 8,000 units, plus or minus 2 percent. the expected variable cost per unit is $11 and the expected fixed costs are $287,000. the fixed and variable cost estimates are considered accurate within a plus or minus 5 percent range. the depreciation expense is $68,000. the tax rate is 32 percent. the sales price is estimated at $64 a unit, plus or minus 3 percent. what is the earnings before interest and taxes under the base case scenario?

Cardinal company is considering a project that would require a $2,725,000 investment in equipment with a useful life of five years. at the end of five years, the project would terminate and the equipment would be sold for its salvage value of $400,000. the company’s discount rate is 14%. the project would provide net operating income each year as follows: sales $2,867,000 variable expenses 1,125,000 contribution margin 1,742,000 fixed expenses: advertising, salaries, and other fixed out-of-pocket costs $706,000 depreciation 465,000 total fixed expenses 1,171,000 net operating income $571,000 1. which item(s) in the income statement shown above will not affect cash flows? (you may select more than one answer. single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer. any boxes left with a question mark will be automatically graded as incorrect.) (a)sales (b)variable expenses (c) advertising, salaries, and other fixed out-of-pocket costs expenses (d) depreciation expense 2. what are the project’s annual net cash inflows? 3.what is the present value of the project’s annual net cash inflows? (use the appropriate table to determine the discount factor(s) and final answer to the nearest dollar amount.) 4.what is the present value of the equipment’s salvage value at the end of five years? (use the appropriate table to determine the discount factor(s) and final answer to the nearest dollar amount.) 5.what is the project’s net present value? (use the appropriate table to determine the discount factor(s) and final answer to the nearest dollar amount.)

Portia grant is an employee who is paid monthly. for the month of january of the current year, she earned a total of $8,388. the fica tax for social security is 6.2% of the first $118,500 earned each calendar year and the fica tax rate for medicare is 1.45% of all earnings. the futa tax rate of 0.6% and the suta tax rate of 5.4% are applied to the first $7,000 of an employee's pay. the amount of federal income tax withheld from her earnings was $1,391.77. what is the total amount of taxes withheld from the portia's earnings?