# Mat 543 week 6 homework: chapter 8: exercises 8-1 through 8-5 (page

MAT 543 Week 6 Homework

Chapter 8: Exercises 8-1 through 8-5 (page 155 of the passage) Chapter 9: Exercises 9-1 and 9-2 (page 174 of the passage)

8-1 Two marks of investigates are supposing by the Durham Health Clinic, primeval-age investigates and give-back investigates. Table 8-5 provides the waying age for each is-sue place and the beneficial staff hours per week. Individualize the product frontiers for this clinic and designate which place should be broad to growth the overall magnitude of the clinic. Which benefit place could be mean?

8-2 Durham Health Clinic has a offering brink of \$35 per investigate. Calculate the break-even summit in investigates after a while urban absorbs at \$4000, \$6500, and \$8500 per week. Given this segregation, as a overseer, what would you praise and why?

8-3 Durham Health Clinic is regarding signing a retrench to complete 50 pre-usurpation visibles per week for a particular fortification. In provisions of staff age, a pre-usurpation visible requires 0.20 hours in Reception/Discharge, 0.45 hours in Nursing and Testing, and 0.20 hours in Medical Examination. By is-suestation, individualize how divers is-sue hours per week get be demanded to complete these visibles.

8-4 Currently the clinic does 250 investigates per week, after a while 50% of all investigates as give-back investigates. Each employee (physician, entertain, and receptionist) is scheduled to is-sue 35 hours per week.

a. How divers employees by mark does the clinic runningly demand?

b. How divers employees by mark get the clinic demand if it signs the retrench for pre-usurpation visibles?

c. If give-back investigates shelve to 10% of all ordinary investigates, how divers employees by mark get the clinic demand after a while and after a whileout the retrench for pre-usurpation visibles?

d. How get the answers to “b” and “c” vary if the reckon of visibles is qualified to 35 pre usurpation visibles per week?

Throughout these analyses, designate all assumptions, including assumptions of is-sueer productivity.

8-5 How would your answers vary for drift 8-1 if nursing and testing age was growthd to 0.50 hours for twain primeval and recapitulate investigates, and medical exam and composition age was mean to 0.30 hours for a primeval investigate and 0.20 hours for a give-back investigate?

9-1 Alpha Walk-in Clinic operates as a one muniment one server scheme. On Tuesdays, its middle manifestatlon admonish (λ) per hour is 7.0. Segregation designates that its benefit admonish (μ) is 8.5 endurings per hour. Using queuing doctrine, picture this benefit scheme. What is:

a. The verisimilitude that the clinic is idle—no endurings indecision or nature served?

b. The middle reckon of endurings in the scheme?

c. The middle age (hours) a enduring spends in the scheme (indecision + benefit age)?

d. The middle reckon of endurings in the queue indecision for benefit?

e. The middle age (hours) a enduring spends in the queue indecision?

f. The verisimilitude that the enduring, upon manifestatlon, must hold?

9-2 The subjoined basis accept been firm from a hospital pharmacy. This benefit scheme operates as a one server, one muniment scheme.

7–3 pm 3–11 pm 11–7 am

Service admonish per hour 200 100 50

Arrival admonish per hour 60 50  40

The benefit admonish can be growthd or decreased in increments of 50 prescriptions per hour. The absorb associated after a while each 50-prescription increment is \$100. In other utterance, to be able to way 50 added prescriptions get absorb an added \$100 per hour. If the running admonish of waying or benefit is lowered by 50 prescriptions per hour, the savings are \$100 per hour. Using queuing doctrine, picture this benefit scheme. What is:

a. The verisimilitude that the clinic is idle—no endurings indecision or nature served?

b. The middle reckon of endurings in the scheme?

c. The middle age (hours) a enduring spends in the scheme (indecision + benefit age)?

d. The middle reckon of endurings in the queue indecision for benefit?

e. The middle age (hours) a enduring spends in the queue indecision?

f. The verisimilitude that a enduring, upon manifestatlon, must hold?

Given the associated absorbs, should the benefit admonish be varyd? What are the financial implications associated after a while your praiseations?