Exam 1: Introduction

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A company seeks to maximize profit subject to limited availability of man-hours.Man-hours is a controllable input.

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The relationship d = 5000 - 25p describes what happens to demand (d)as price (p)varies.Here,price can vary between $10 and $50. a.How many units can be sold at the $10 price? How many can be sold at the $50 price? b.Model the expression for total revenue. c.Consider prices of $20,$30,and $40.Which price alternative will maximize total revenue? What are the values for demand and revenue at this price?

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a.For p = 10,d = 4750
For p = 50,d = 3750
b.TR = p(5000-25p)
c.For p = 20,TR = $90,000
For p = 30,TR = $127,500
For p = 40,TR = $160,000
Best price is p = 40.Demand = 4000

In a multicriteria decision problem

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A toy train layout designed to represent an actual railyard is an example of an analog model.

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Decision criteria

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As computer service center has the capacity to do 400 jobs per day.The expected level of jobs demanded per day is 250 per day.The fixed cost of renting the computer process is $200 per day.Space rents for $100 per day.The cost of material is $15 per unit of work and $.35 cents of labor per unit.What is the break-even level of work?

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Problem solving encompasses both the identification of a problem and the action to resolve it.

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In this portion of an Excel spreadsheet,the user has given values for selling price,the costs,and a sample volume.Give the cell formula for In this portion of an Excel spreadsheet,the user has given values for selling price,the costs,and a sample volume.Give the cell formula for     a.cell E12,break-even volume. b.cell E16,total revenue. c.cell E17,total cost. d.cell E19,profit/loss. a.cell E12,break-even volume. b.cell E16,total revenue. c.cell E17,total cost. d.cell E19,profit/loss.

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Decision alternatives

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

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The feasible solution is the best solution possible for a mathematical model.

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The most successful quantitative analysis will separate the analyst from the managerial team until after the problem is fully structured.

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There is a fixed cost of $50,000 to start a production process.Once the process has begun,the variable cost per unit is $25.The revenue per unit is projected to be $45. a.Write an expression for total cost. b.Write an expression for total revenue. c.Write an expression for total profit. d.Find the break-even point.

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The first step in problem solving is

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A model that uses a system of symbols to represent a problem is called

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Inputs to a quantitative 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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George Dantzig is important in the history of management science because he developed

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The first step in the decision making process is to identify the problem.

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Problem definition

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