# Quantitative Methods homework

I call-for these inquirys exculpationed thoroughly. Tables are middle. I call-for how you got the exculpation and an sense middle. Not honorpotent the exculpations.

·         8-3 Durham Health Clinic is regarding signing a curtail to act 50 pre-employment materials per week for a unfair strengthening. In provisions of staff duration, a pre-employment material requires 0.20 hours in Reception/Discharge, 0.45 hours in Nursing and Testing, and 0.20 hours in Medical Examination. By production-station, propound how divers production hours per week accomplish be call-fored to act these materials.

·         8-4 Currently the clinic does 250 scrutinizes per week, delay 50% of all scrutinizes as repay scrutinizes. Each employee (physician, foster, and receptionist) is scheduled to production 35 hours per week.

• a. How divers employees by symbol does the clinic exotericly call-for?
• b. How divers employees by symbol accomplish the clinic call-for if it signs the curtail for pre-employment materials?
• c. If repay scrutinizes alter to 10% of all recognized scrutinizes, how divers employees by symbol accomplish the clinic call-for delay and delayout the curtail for pre-employment materials?
• d. How accomplish the exculpations to “b” and “c” exexfluctuate if the reckon of materials is mitigated to 35 pre-employment materials per week?

Throughout these analyses, enumescold all assumptions, including assumptions about productioner productivity.

• 8-5 How would your exculpations exexfluctuate for bearing 8-1 if nursing and testing duration was extensiond to 0.50 hours for twain leading and recapitulate scrutinizes, and medical exam and treatment duration was deep to 0.30 hours for a leading scrutinize and 0.20 hours for a repay scrutinize?

• 9-1 Alpha Walk-in Clinic operates as a unmarried deed unmarried server arrangement. On Tuesdays, its mediocre advent scold (μ) per hour is 7.0. Analysis indicates that its employment scold (λ) is 8.5 unrepinings per hour. Using queuing plea, delineate this employment arrangement. What is:
• a. The chance that the clinic is idle—no unrepinings pause or life served?
• b. The mediocre reckon of unrepinings in the arrangement?
• c. The mediocre duration (hours) a unrepining spends in the arrangement (pause + employment duration)?
• d. The mediocre reckon of unrepinings in the queue pause for employment?
• e. The mediocre duration (hours) a unrepining spends in the queue pause?
• f. The chance that the unrepining, upon advent, must endure?
• 9-2 The forthcoming axioms enjoy been placid from a hospital pharmacy. This employment arrangement operates as a unmarried server, unmarried deed arrangement.

7–3 pm

3–11 pm

11–7 am

Service scold per hour

200

100

50

Arrival scold per hour

60

50

40

• The employment scold can be extensiond or decreased in increments of 50 prescriptions per hour. The charge associated delay each 50-prescription increment is \$100. In other language, to be potent to course 50 concomitant prescriptions accomplish require an concomitant \$100 per hour. If the exoteric scold of courseing or employment is lowered by 50 prescriptions per hour, the savings are \$100 per hour. Using queuing plea, delineate this employment arrangement. What is:
• a. The chance that the clinic is idle—no unrepinings pause or life served?
• b. The mediocre reckon of unrepinings in the arrangement?
• c. The mediocre duration (hours) a unrepining spends in the arrangement (pause + employment duration)?
• d. The mediocre reckon of unrepinings in the queue pause for employment?
• e. The mediocre duration (hours) a unrepining spends in the queue pause?
• f. The chance that a unrepining, upon advent, must endure?

Given the associated requires, should the employment scold be exchanged? What are the financial implications associated delay your commendations?

• 10-2 In the clinic rectification stance, what if treatment thinks that the manner of exoteric call-for fostering is 30%, the manner of a modescold extension is 25%, and the manner of a big extension is 45%? What should they do, according to the expected whole payoff?

·         An ambulatory prudence clinic administrator is unmanageable to flow whether to renew to adjudicate feasible extensiond call-for. The supervisor could cunning a greater rectification requireing \$700,000 that would tolereprove 50 unrepinings per day to be served, or a junior rectification requireing \$225,000 that would tolereprove 35 unrepinings a day to be served. The conclusive opinion is to do rush, thus custody the condition quo by not renovating. This continues the real talents of grateful the exoteric 20 unrepinings per day, but no past. Presently the clinic earns \$75 per unrepining served. Assume that the clinic is unreserved 300 days per year and that treatment wants to secrete the requires of the rectification from leading-year hues.

·         To commence quantitatively analyzing our firmness options, we leading go end to the three firmness tramps listed previously. The leading tramp is to propound the opinions. These are to do rush, bear a junior rectification, or bear a greater rectification. The promote tramp is to propound the advenient propounds of the cosmos-people. These are the unknowns in our firmness. Here they are the respects of advenient call-for. Because our firmnesss period advenient talents, we accomplish use these periods as respects of advenient call-for. Thus, let us delineate the immanent for 20 unrepinings per day, 35 unrepinings per day, or 50 unrepinings per day to be served, defined by exoteric talents, talents ardent a junior rectification, and talents ardent a greater rectification.

·         There are three opinions and three feasible propounds of the cosmos-people. This resources that there are nine feasible outcomes. These are listed in Tpotent 10-3. The third tramp is to propound the payoffs for each of the immanent outcomes.

·         Earnings are grounded upon unrepinings served; hence, divorce of the payoff involves hues. For each propound of the cosmos-people of advenient call-for, there are contrariant immanent ultimatum unrepinings who can be seen. Each of these brings in fruits of \$75. This sum is then multifarious by the 300 days the clinic is unreserved year-by-year to investigate the whole fruits per year. The ultimatum fruits generated in each propound of the cosmos-people can be seen in Tpotent 10-4.

·         Tpotent 10-3 Expected Outcomes for Clinic Renovation

Alternative

State of the cosmos-people (advenient call-for forecasts)

Outcome

No rectification/do rush

Demand offscourings at 20 unrepinings per day

Demand is met

No rectification/do rush

Demand extensions to 35 unrepinings per day

Demand is not met

No rectification/do rush

Demand extensions to 50 unrepinings per day

Demand is not met

Minor rectification

Demand offscourings at 20 unrepinings per day

Demand is met

Minor rectification

Demand extensions to 35 unrepinings per day

Demand is met

Minor rectification

Demand extensions to 50 unrepinings per day

Demand is not met

Major rectification

Demand offscourings at 20 unrepinings per day

Demand is met

Major rectification

Demand extensions to 35 unrepinings per day

Demand is met

Major rectification

Demand extensions to 50 unrepinings per day

Demand is met

• 12-1 Using the advice in Tpotent 12-7, frame a PERT netproduction and exculpation each of the forthcoming inquirys:
• a. What is the expected design gist axioms?
• b. What is the scheduled begin and gist continuance for each immateriality?
• c. Which activities are on the exact road?
• d. How hanker can nonexact road activities be past delayout jeopardizing the overall gist continuance for this design?
• 12-2 Assess the contact of the forthcoming exchanges to the duration respects supposing in inquiry 12-1. Individually, what is the contact if:

Activity

Predecessor

New Duration Estimate

O. Advertise for new staff

N

4

P. Interview for new staff

O

6

Q. Select new staff

P

1

Collectively, what is the contact of these exchanges?

• 12-3 As design supervisor for the stance middle in inquiry 12-1, what would you commend to spare the first design gist continuance if immateriality A was reestimated to accept 8 weeks, not the first 4 weeks? Provide details.

## Tpotent 12-7Project to Convert a 20-Bed Individual in a Nursing Home to Adjudicate Patients delay Dementia

Activity

Predecessor

Time respect (weeks)

A

Secure propound approval

4

B

Identify 20-bed individual to be used

A

1

C

Move real residents

B

1

D

Clean space

C

2

E

Develop architectural cunnings

A

9

F

Install new heating and scent arrangements

E

4

G

Install ease arrangements

E

2

H

Move walls; renew

F

4

I

Identify new equipment

A

1

J

Order new equipment

I

1

K

Unpack and overhaul new equipment

J

1

L

Install new equipment

D, K, H

3

M

Reassign staff

A

1

N

Identify new staffing call-fors

M

1

O

Advertise for new staff

N

3

P

Interview for new staff

O

2

Q

Select new hires

P

3

R

Develop prudence cunning protocols

M

1

S

Train staff

R, Q, M, L

1

T

Modify sort boldness cunnings

S

2

U

Coordinate delay hospital free cunningners

T

4

V

Complete interior audit

U, G

1

• 13-1 A symbolical of a reputpotent financial employments concourse has approached you as supervisor of a four-person cluster of anesthesiologists delay an opening to alienation a 10-year annuity due for each portion of the cluster. The annuity due would pay \$40,000 each year commencening 5 years from now (i.e., at duration = 5). What is the most you would be accomplishing to pay now, per each physician, for this considerationing? Assume an alienate allowance scold of 7%.
• 13-2 The hospital’s marketing and finance departments enjoy honorpotent supposing you, as first financial functionary, delay pro forma allowance propoundments for your contemplated sonogram core. These propoundments answer in the forthcoming. Pro forma Allowance Statement (000)

Time

t + 1

t + 2

t + 3

t + 4

Service Revenues (net)

\$425

\$500

\$580

\$700

Expenses

\$400

\$450

\$525

\$600

Depreciation Expense

\$ 35

\$ 35

\$ 35

\$ 35

Net Income

(\$ 10)

\$ 15

\$ 20

\$ 65

• What is the design’s IRR? Assume an judicious considerationing of \$175,000 and an alienate allowance scold of 6%. The hospital is operated as a not-for-profit dexterity.
• 13-3 The first unimpeded functionary (COO) of a slight, not-for-profit brotherhood hospital has to bring-about a commendation to the consideration of trustees on choosing incompact three design options for an unbiased talent of \$250,000 that has honorpotent been current. The consideration has stated a duration horizon of 5 years on this design. The options are delineated in the forthcoming.
• a. Purchase a 5-year supply silence at an profit scold (annual) of 7%.
• b. Purchase the habit of a adolescent physician (the hospital’s third highest admitter). Estimates of designed currency flows for the habit (post-purchase), are: Probability of Currency Flow

Time

60%

20%

20%

t + 1

\$ 40,000

\$20,000

\$ 60,000

t + 2

\$ 60,000

\$30,000

\$ 80,000

t + 3

\$  75,000

\$40,000

\$100,000

t + 4

\$100,000

\$50,000

\$125,000

t + 5

\$100,000

\$50,000

\$125,000

• c. Purchase an upgraded analyzer for the laboratory. Grounded on forecasts of laboratory utilization, the net currency flows for this design are:

Time

Net Currency Flow

t + 1

\$75,000

t + 2

\$75,000

t + 3

\$50,000

t + 4

\$50,000

t + 5

\$50,000

• Which considerationing should the COO commend and why?