2.n In this problem you will analyze the performance of an enterprise small-cell. The call model is as follows: average duration of calls is 1.5 minutes, and thecall request rate is 3 calls per hour/subscriber. The small cell can support a maximumof 6 simultaneous calls.a. Since this is an enterprise application, we are targeting 1% blockingprobability. How many subseribers can this small cell support at the targetedgrade of service?b. At this grade of service, how many Erlangs of traffic are being supported bythe small cell?

Given Erlang is a unit of GSM traffic measurement which represents the continuous use of one voice…

Answered: In this problem you will analyze the…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...

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2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1
You are an orange farmer experimenting with a new fertiliser. Having divided your orchard into numerous sub-plots, you applied different concentrations of this fertiliser on each of the plots and measured the yield of oranges in kilograms per acre. It is worth noting that too little fertiliser had very little effect on the yield and too much fertiliser ended up stunting fruit growth and reducing your yield. To work out the optimal fertiliser concentration, which two numerical methods would you need and which order would you need to apply them in? a. Curve fitting, followed by solving an ODE. b. Solving an ODE followed by root-finding applied to the derivative of the resultant curve. c. Root finding followed by numerical integration. d. Solving a system of linear equations followed by solving an ODE. e. Numerical integration followed by solving an ODE. f. Curve fitting, followed by numerical integration. g. Curve fitting followed by root-finding…
The Boeing Company faces a critical strategic choice in its competition with Airbus Industries for the long-haul flight segment: Should it design and build a super-747 model that can carry 550 passengers at speeds around 350 mph, or a plane that can fly at 95 percent of the speed of sound but carry only about 350 passengers? As a member of Boeing's Planning Group, your task is to build a model to investigate the trade-offs involved in this decision.
Suppose you have been employed by ALADIN Solutions Ltd. as an Operations Manager to study the efficiency of customer service center of SONE Bank in handling customers. The customer service center has two serving points, Alpha and Bravo, through which customers are catered. Your field survey results are presented in Table 1 as follows: [Total Marks: 05] Table 1: Wait time of Service Points in Minutes Customer No. Alpha Bravo 1 12 10 2 16 3 3 11 8 4 10 7 5 17 6 6 10 16 7 13 15 8 18 16 9 6 20 10 17 9 You are required to write a letter to your supervisor for presenting the results of your analysis. Use mean waiting times and box plots as the tools to compare the efficiency of Alpha and Bravo serving points. [03 Marks] Assuming a customer visits Alpha and Bravo points and is handled in 18 minutes. Which point is handling customer better? Use Z-Score to determine this and incorporate the results…
Suppose you have been employed by ALADIN Solutions Ltd. as an Operations Manager to study the efficiency of customer service center of SONE Bank in handling customers. The customer service center has two serving points, Alpha and Bravo, through which customers are catered. Your field survey results are presented in Table 1 as follows: Table 1: Wait time of Service Points in Minutes Customer No. Alpha Bravo 1 12 10 2 16 3 3 11 8 4 10 7 5 17 6 6 10 16 7 13 15 8 18 16 9 6 20 10 17 9 You are required to write a letter to your supervisor for presenting the results of your analysis. Use mean waiting times and box plots as the tools to compare the efficiency of Alpha and Bravo serving points. Assuming a customer visits Alpha and Bravo points and is handled in 18 minutes. Which point is handling customer better? Use Z-Score to determine this and incorporate the results in your letter.
First Securities, Inc., an investment firm, has $380,000 on account. The chief investment officer would like to reinvest the $380,000 in a portfolio that would maximize return on investment while at the same time maintaining a relatively conservative mix of stocks and bonds. The following table shows the investment opportunities and rates of return. Investment Opportunity Rate of Return Municipal Bonds (X1) 0.095 High Tech Stock (X2) 0.146 Blue Chip Stock (X3) 0.075 Federal Bonds (X4) 0.070 a) The Board of Directors has mandated that at least 60 percent of the investment consist of a combination of municipal and federal bonds, at least 25 percent Blue Chip Stock, no more than 30 percent High Tech and Blue Chip Stock, and no more than 15 percent High Tech Stock. Based on above problem, how many constraints are in this problem? A) 3 B) 4 C) 5 D) 2 b) Based on part a, which of the…
Suppose a manufacturer and its retailer face the problem of double marginalization described in my notes, Section 11.1. If the manufacturer sets the wholesale price equal to its marginal cost c and in addition, requires the retailer to pay a fraction α (between 0 and 1) of its profit. 4.a Write down the retailer’s profit maximization problem. Will this practice solve the double marginalization problem? (That is, will this practice maximize their joint profit?) 4.b Suppose the retailer is required to pay a fraction of α of its sales (i.e., total revenue). Write down the retailer’s profit maximization problem. Will this practice solve the double marginalization problem? I am posting chaper 11.1 notes below:

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