Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Operation Management Expert

You work for a small clinic that provides annual wellness checkups for children and adults. The clinic is well liked by the community, which results in the clinic always booking the entire 8 hour day full of appointments. You have been asked to help determine how many appointments should be reserved for children and how many should be reserved for adults each day. As a business, you would like to maximize your profit. Each child appointment provides the clinic with a $20 profit while an adult appointment provides you with $45 profit. However, adult appointments take 20 minutes each while children appointments only take 10 minutes. Since many schools in the area start their fall sports season soon, there is a high demand for children appointments (during which a sports physical is performed). Because of this, your clinic has decided that it wants to make sure that at least twice as many children appointments are available as compared to adult appointments.

(a) Formulate an integer program to maximize the clinic’s profit. Clearly identify the sets, parameters and decision variables. Also, describe the objective function and each of the constraints in words.

(b) Use Excel Solver to find the optimal solution and profit.

(c) Which constraints are binding at the optimal solution? What are the practical implications of this?

(d) Due to the high demand for children appointments, the clinic is considering charging a bit more for those appointments. This would result in a profit of $25 per child appointment instead of a $20 profit.

i. How would this change affect the optimal solution and profit?

ii. What effect on the graphical solution does this change have with regard to the feasible region and optimal solution?

(e) After you realize what the optimal solution would be if you raise the price of a child appoint- ment, you figure that the community will not happy if you only implement this change. You are now considering adding a restriction that would not allow the clinic to schedule more than 3 times as many children appointments as adult appointments. You think this will allow you to increase the cost of the child’s appointment to $25 but still keep the community happy.

i. How should you change your model to accommodate this situation?

ii. What is the optimal solution and profit?

iii. What effect on the graphical solution does this change have with regard to the feasible region and optimal solution?

iv. Solve the linear programming relaxation (i.e. allow the variables to be non-integer) of the problem described in part (e) thus far. What is the optimal solution and the resulting objective function value? How does it compare to the integer solution found in part (e-ii)?

v. Will the optimal solution of part (e-ii) change if you choose to not allow the clinic to schedule more than 4 times as many children appointments as adult appointments instead of 3? If so, indicate how and provide the associated objective function value.

(f) Would you recommend the clinic make one of the changes proposed in part (e) or stay with their current plan as indicated in part (a)? Why? If you choose a change from part (e), identify which change you would choose.

Operation Management, Management Studies

  • Category:- Operation Management
  • Reference No.:- M91767290

Have any Question? 


Related Questions in Operation Management

1 some individuals believe that online learning is a hoax

1. Some individuals believe that online learning is a hoax. Also, these same individuals believe that traditional classroom learning is the only way to learn. Let us go one step further with this line of thinking, but in ...

Identify the three categories of executive perks provide

Identify the three categories of executive perks. Provide specific examples for each category. What reasons have lead to the increased use of stock option plans? Please explain your answer.

You have just been hired as the director of process

You have just been hired as the director of process improvement, a new position, by the VP of Operations for the ABC Manufacturing Company. ABC has been plagued by both internal and external vendor issues; the vendor iss ...

Consider the following scenarioa company that designs

Consider the following scenario: A company that designs, manufactures, repairs, and provides technical support for mega-capacity, commercial-grade electronic data storage cabinets is considering relocating its manufactur ...

Is the conflict between agamemnon and achilleus is ever

Is the conflict between Agamemnon and Achilleus is ever truly resolved if it is how? If it is not why not?

What are the components of and steps in the collective

What are the components of and steps in the collective bargaining process? Evaluate them.

1 what is the purpose of controls describe any three types

1. What is the purpose of controls? Describe any three types of control systems. 2. What are the characteristics of effective project teams? 3. Describe the four things that are necessary to promote the partnership idea ...

List the four classical requirements verification methods

List the four classical requirements verification methods and for each method: (a) Provide an example requirement that can be verified by that method (b) Describe the test procedures that should be followed for that meth ...

Review the following scenarios and write a paragraph for

Review the following scenarios and write a paragraph for each one describing what media you think would be most appropriate to use, and why. Refer to figure 6-13 (page 267 of your textbook) for suggestions. 1. Many of th ...

What does the term bullying in the workplace mean are

What does the term "bullying" in the workplace mean? Are there layers or dimensions to the term. Please be explicit. Have employees filed lawsuits & other formal complaints in this area? Please give examples & also expla ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro