Exam 1: Introduction

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Most successful quantitative analysis models will advise separating the management analyst from the managerial team until after the problem has been fully structured.

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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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Inputs to a quantitative 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 12,000 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 process of decision making is more limited than that of problem solving.

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If all the uncontrollable inputs into the decision-making process are known to the decision maker,the model of decision making is known as "stochastic."

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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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A computer rework center has the capacity to rework 300 computers per day.The expected number of computers needing to be reworked per day is 225.The center is paid $26 for each computer reworked.The fixed cost of renting the reworking equipment is $250 per day.Work space rents for $150 per day.The cost of material is $18 per computer and labor costs $3 per computer.What is the breakeven number of computers reworked per day?

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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 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 of these three price alternatives will maximize total revenue? What are the values for demand and revenue at this price?

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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 a.cell E12,breakeven volume. b.cell E16,total revenue. c.cell E17,total cost. d.cell E19,profit (loss). ​ 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,breakeven volume. b.cell E16,total revenue. c.cell E17,total cost. d.cell E19,profit (loss). ​

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The value of making a decision based on models is dependent on how closely the model represents the real situation.

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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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