Exam 1: Introduction

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A physical model that has the same physical appearance as the object being modeled is​

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In quantitative analysis,the optimal solution is the mathematically-best solution.

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The decision making process includes implementation and evaluation of the decision.

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A physical model that does not have the same physical appearance as the object being modeled is

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​Define and contrast the terms feasible solution,infeasible solution and optimal solution.

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A university schedules summer school courses based on anticipated enrollment.The cost for faculty compensation,laboratories,student services,and allocated overhead for a computer class is $8500.If students pay $920 to enroll in the course,how large would enrollment have to be for the university to break even?

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The value of any model is that it enables the user to make inferences about the real situation.

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In a multicriteria decision problem

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Decision criteria

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​What steps of the problem solving process are involved in decision making?

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A feasible solution is one that satisfies at least one of the constraints in the problem.

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Consider a department store that must make weekly shipments of a certain product from two different warehouses to four different stores. a.How could a quantitative approach to decision making be used to solve this problem? b.What would be the uncontrollable inputs for which data must be gathered? c.What would be the decision variables of the mathematical model? the objective function? the constraints? d.Is the model deterministic or stochastic? e.Suggest assumptions that could be made to simplify the model.

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Organizers of an Internet training session will charge participants $150 to attend.It costs $3000 to reserve the room,hire the instructor,bring in the equipment,and advertise.Assume it costs $25 per student for the organizers to provide the course materials. a.How many students would have to attend for the company to break even? b.If the trainers think,realistically,that 20 people will attend,then what price should be charged per person for the organization to break even?

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As part of their application for a loan to buy Lakeside Farm,a property they hope to develop as a bed-and-breakfast operation,the prospective owners have projected: ​ As part of their application for a loan to buy Lakeside Farm,a property they hope to develop as a bed-and-breakfast operation,the prospective owners have projected: ​     a.Write the expression for total cost per month.Assume 30 days per month. b.Write the expression for total revenue per month. c.​If there are 12 guest rooms available,can they break even? What percentage of rooms would need to be occupied,on average,to break even? a.Write the expression for total cost per month.Assume 30 days per month. b.Write the expression for total revenue per month. c.​If there are 12 guest rooms available,can they break even? What percentage of rooms would need to be occupied,on average,to break even?

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The volume that results in marginal revenue equaling marginal cost is called the break-even point.

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The first step in problem solving is

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​Which of the following is not one of the commonly used names for the body of knowledge involving quantitative approaches to decision-making?

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A manufacturer makes two products,doors and windows.Each must be processed through two work areas.Work area #1 has 60 hours of available production time per week.Work area #2 has 48 hours of available production time per week.Manufacturing of a door requires 4 hours in work area #1 and 2 hours in work area #2.Manufacturing of a window requires 2 hours in work area #1 and 4 hours in work area #2.Profit is $8 per door and $6 per window. a.​Define decision variables that will tell how many units to build (doors and windows)per week. b.Develop an objective function that will maximize total profit per week. c.Develop production constraints for work area #1 and #2.

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The field of management science

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When production volume exceeds the breakeven point,we can expected​

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