Exam 1: Introduction

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To find the choice that provides the highest profit and the fewest employees, apply a single-criterion decision process.

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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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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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a.C(x) = 50000 + 25x
b.R(x) = 45x
c.P(x) = 45x - (50000 + 25x)
d.x = 2500

Should the problem solving process be applied to all problems?

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A small firm builds television antennas. The investment in plan and equipment is $200,000. The variable cost per television antenna is $500. The price of the television antenna is $1000. How many television antennas would be needed for the firm to break even?

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The first step in problem solving is

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Identification and definition of a problem

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

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The most critical component in determining the success or failure of any quantitative approach to decision making is problem definition.

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Problem definition

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When the value of the output cannot be determined even if the value of the controllable input is known, the model is

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Explain the relationship among model development, model accuracy, and the ability to obtain a solution from a model.

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In a multicriteria decision problem

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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. Work area #2 has 48 hours of available production time. 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). b.Develop an objective function that will maximize profits. c.Develop production constraints for work area #1 and #2.

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The terms 'stochastic' and 'deterministic' have the same meaning in quantitative analysis.

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Uncontrollable inputs are the decision variables for a model.

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A snack food manufacturer buys corn for tortilla chips from two cooperatives, one in Iowa and one in Illinois. The price per unit of the Iowa corn is $6.00 and the price per unit of the Illinois corn is $5.50. a.Define variables that would tell how many units to purchase from each source. b.Develop an objective function that would minimize the total cost. c.The manufacturer needs at least 12000 units of corn.The Iowa cooperative can supply up to 8000 units, and the Illinois cooperative can supply at least 6000 units.Develop constraints for these conditions.

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The quantitative analysis approach requires

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Inputs to a quantitative model

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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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