The reservation office for Central Airlines has two agents answering incoming phone calls for flight reservations. A caller can be put on hold until one of the agents is available to take the call. If all three phone lines (both agent lines and the hold line) are busy, a potential customer gets a busy signal, in which case the call is lost. All calls occur randomly (i.e., according to a Poisson process) at a mean rate of 15 per hour. The length of a telephone conversation has an exponential distribution with a mean of 4 minutes.

(a)Construct the rate diagram for this queueing system.

(b) Find the steady-state probability that: (Show every calculation)

1. A caller will get to talk to an agent immediately.

2. The caller will be put on hold, and

3. The caller will get a busy signal.

The reservation office for Central Airlines has two agents answering incoming phone calls for flight reservations. A caller can be put on hold until one of the agents is available to take the call. If all three phone lines (both agent lines and the hold line) are busy, a potential customer gets a busy signal, in which case the call is lost. All calls occur randomly (i.e., according to a Poisson process) at a mean rate of 15 per hour. The length of a telephone conversation has an exponential distribution with a mean of 4 minutes.

(a)Construct the rate diagram for this queueing system.

(b) Find the steady-state probability that:

1. A caller will get to talk to an agent immediately.

2. The caller will be put on hold, and

3. The caller will get a busy signal.

he reservation office for Central Airlines has two agents answering incoming phone calls for flight reservations. A caller can be put on hold until one of the agents is available to take the call. If all three phone lines (both agent lines and the hold line) are busy, a potential customer gets a busy signal, in which case the call is lost. All calls occur randomly (i.e., according to a Poisson process) at a mean rate of 15 per hour. The length of a telephone conversation has an exponential distribution with a mean of 4 minutes.

(a)Construct the rate diagram for this queueing system.

(b) Find the steady-state probability that: (Show every calculation)

1. A caller will get to talk to an agent immediately.

2. The caller will be put on hold, and

3. The caller will get a busy signal.

    5. A patient is receiving 15 mL/hour using a 20 drop set. How many drops per minute will be administered?

    6. A medication is set to flow at 35 mL/hour using a mini-drip set. How many drops per            minute will be administered?

    7. An order for 500 mg of a drug mixed in a 100 mL bag is set to flow over 30 minutes. Using a 30 drop set, how many drops per minute will be administered?

    8. How many liters will be delivered over 24 hours if the flow rate is 17 gtt/min using a 20 drop set?

    9. How long will a 2 L bag last if the patient receives 40 gtt/min using a 20 drop set?

Determine the infusion rates in drops per minute for the following orders.

10. Give 210 mL over 45 minutes using a 10 drop set.

Your company is undertaking a new project. A building was purchased 10 years ago for $750,000 depreciated straight line to $150,000 (the land value) over 30 years. It is now worth $500,000 (including $150,000 land). The project requires improvements to the building of $100,000. The improvements are depreciated straight line to zero over the life of the project. The project will generate revenues of $325,000, $350,000, $375,000 and $400,000 for years 1-4, respectively. Annual cash operating expenses are $80,000, $100,000, $120,000 and $140,000, respectively. The project will last 4 years, at which time the building will be sold for $600,000. Taxes are 40% and rate of return is 10%. Using Excel, prepare a spreadsheet and upload

5. What is the ending Cash Flow from the sales of the assets?

6. What is the total annual Cash Flows?

7. What is NPV? Show work

8. What is Profitability Index? Show work. (at least 2 decimals)

The process design team at a manufacturer has broken an assembly process into eight basic steps, each with a required time, and predecessor as shown in the table. They work a 7 hour day and want to produce at a rate of 360 units per day. What should their cycle time be?

Task Time (sec) Predecessor

A 45 --

B 50 A

C 40 A

D 55 B, C

E 40 D

F 65 D

G 25 E

H 35 F, G

Options

A: 52 seconds

B: 25 seconds

C: 70 seconds

D: 80 seconds

An electronics company is engaged in the manufacture of two components “Registers”
and “Diodes” used in telecom tower sets. Each unit of “Register” and “Diode” costs the
company Rs.6 and Rs.26 in wages and Rs.7 and Rs.17 in materials respectively.
The company sells both the products on two-period credit terms but the company’s labour and
material expenses must be paid in cash. The selling price per unit of Register is Rs.40 and per
unit of Diode is Rs.90. Due to the strong monopoly of the company for these components, it is
believed that the company can sell as many units as it produces at the prevailing prices.
The company’s production capacity is limited by two considerations: -
 At the beginning of Period, the company has an initial balance of Rs.18000.
 The company has an available 2500 hours of machine time and 1800 hours of assembly
time.
The production of each unit of Register requires 4 hours of machine time, and two hours of
assembly time. Whereas, the production of each unit of Diode requires 3 hours of machine time
and four hours of assembly time. Formulate the LPP. And find the optimal solution.

Black Mountain Ski Resort has been granted a 20 - year permit to develop and operate a skiing operation in a national park. After 20 years the site must be returned to its original condition. The roads may remain, as they can be used for fire prevention purposes. In the spring and summer before the ski hill opened, the following transactions and events occurred:

You must use the following Long-Lived asset accounts

Ski Lift

Ski Chalet

Land improvement

Roads

Parking lot

1. Installed three ski lifts for a total cost of $150,000,000. It is estimated that the scrap metal from the lifts could be sold for $4,000,000 at the end of 20 years.
2. Built a Ski chalet for $70,000,000
3. Removed Trees and cleared the area for ski runs at a cost of $40,000,000
4. Received $ 10,000,000 for the trees that were removed for the ski runs.
5. Put in roads for a cost of $50,000,000.
6. Paved an area at the base of the mountain for a parking lot at a cost of $10,000,000.
7. Estimated that it would cost $20,000,000 to dismantle the ski lifts in 20 years. The chalet could be removed for a cost of $15,000,000. Re-foresting the site would cost $5,000,000. Removing the parking lot will cost $3,000,000. Calculate the PV of Site Restoration using a risk rate of 6% and provide the journal entry.

8. Using Straight Line Depreciation record the depreciation for the first year of operations on the Long-Lived assets and site restoration costs. Put all the depreciation expense in one account and then create accumulated depreciation accounts for each asset that requires depreciation.

9. Allocate the interest expense on the site restoration costs for the first three years

10. Using the table below prepare the balance sheet presentation of all the accounts involved in this question for the end of the third year of operations.

    	Cost	Accumulated Depreciation	Net Carrying Amount
    Property Plant and Equipment
    Ski Lift
    Ski Chalet
    Land Improvement
    Roads
    Parking Lot
    Site Restoration Costs
    Total Property Plant and Equipment

    Long Term Liabilities

    Obligation for future restoration =

11. At the end of the project the actual cost of restoring the site is $43,000,000, as originally estimated. Prepare the journal entry to record the payment of these costs at the end of the project

    Date	Explanation/ Account	Debit	Credit

    what would be the total expenses associated with the site restoration in the first, second and 20^th year?

    Year	Depreciation of Site Restoration Costs	Interest expense accrual on obligation for future site restoration	Total Expense relating to site restoration
    1
    2
    20

    Calculations

SmokeCity, Inc., manufactures barbeque smokers. Based on past experience, SmokeCity has found that its total annual overhead costs can be represented by the following formula: Overhead cost = $603,000 + $1.35X, where X equals number of smokers. Last year, SmokeCity produced 22,500 smokers. Actual overhead costs for the year were as expected.

2. What is the total overhead cost incurred by SmokeCity last year?

$

3. What is the total fixed overhead cost incurred by SmokeCity last year?

$

4. What is the total variable overhead cost incurred by SmokeCity last year?

$

For questions 5-7, round your answers to the nearest cent. Use those rounded figures in subsequent computations, if necessary.

5. What is the overhead cost per unit produced?

$ per unit

6. What is the fixed overhead cost per unit?

$ per unit

7. What is the variable overhead cost per unit?

$ per unit

8. Recalculate Requirements 5, 6, and 7 for the following levels of production: (a) 21,900 units and (b) 23,800 units. Round your answers to the nearest cent.

There are two traffic lights on a commuter's route to and from work. Let X₁ be the number of lights at which the commuter must stop on his way to work, and X₂ be the number of lights at which he must stop when returning from work. Suppose that these two variables are independent, each with the pmf given in the accompanying table (so X₁, X₂ is a random sample of size n = 2).

(a) Determine the pmf of T_o = X₁ + X₂.

(b) Calculate μ_To.
μ_To =  

How does it relate to μ, the population mean?
μ_To =  · μ

(c) Calculate σ_To².

How does it relate to σ², the population variance?
σ_To² =  · σ²

(d) Let X₃ and X₄ be the number of lights at which a stop is required when driving to and from work on a second day assumed independent of the first day. With T_o = the sum of all four X_i's, what now are the values of E(T_o) and V(T_o)?

(e) Referring back to (d), what are the values of

P(T_o = 8) and P(T_o ≥ 7)

[Hint: Don't even think of listing all possible outcomes!] (Enter your answers to four decimal places.)