Pearson eText for Introduction to Management Science -- Instant Access (Pearson+)
Pearson eText for Introduction to Management Science -- Instant Access (Pearson+)
13th Edition
ISBN: 9780137503933
Author: Bernard Taylor
Publisher: PEARSON+
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Chapter 1, Problem 1.2CP
Summary Introduction

To calculate: Break-even volume after purchasing new machine.

Introduction: Break-even volume is the point where the total cost to produce and total revenue earned from selling get equal. It is the point where the enterprise is at no profit and no loss situation.

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Sales of tablet computers at Marika Gonzalez's electronics store in Washington, D.C., over the past 10 weeks are shown in the table below: Week 1 2 3 4 5 6 7 8 9 10 Demand 21 21 27 38 25 30 35 24 25 30 a) The forecast for weeks 2 through 10 using exponential smoothing with a = 0.50 and a week 1 initial forecast of 21.0 are (round your responses to two decimal places): Week 1 2 3 4 5 6 7 8 9 10 Demand 21 21 27 38 25 30 35 24 25 30 Forecast 21.0 21 21 24 31 28 29 32 28 26.50 b) For the forecast developed using exponential smoothing (a = 0.50 and initial forecast 21.0), the MAD = |||||sales (round your response to two decimal places).
Sales of tablet computers at Marika Gonzalez's electronics store in Washington, D.C., over the past 10 weeks are shown in the table below: Week Demand 1 2 3 4 5 6 7 8 9 10 21 21 27 38 25 30 35 24 25 30 a) The forecast for weeks 2 through 10 using exponential smoothing with a = 0.50 and a week 1 initial forecast of 21.0 are (round your responses to two decimal places): Week 1 2 3 4 5 Demand 21 21 27 38 Forecast 21.0 ☐ G ☐ ☐ 6 7 25 30 35 ∞ ☐ 8 9 10 24 25 30
Each machine costs $3 Million. Building the room with all its attendant safety protection and other ancillary costs increases the spending by an additional $2.0 million dollars per MRI suite. Each machine can perform 2000 scans per year. Each reading of an MRI scan by a radiologist, along with other per-scan-related costs, is $500 per scan. The machine will last five years.  Don’t worry about discount rates for this problem Graph the total costs over 5 years as a function of sales for 0-3000 patients annually. Hint: you may need to add a second MRI at some point. Suppose that you want to make a profit of $500 per scan at a target volume of 1000 patients per year, and you purchase only one machine.  Superimpose the total revenue curve on top of the total cost curve in (1).
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