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4 pages/≈1100 words
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Harvard
Subject:
Management
Type:
Essay
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English (U.S.)
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Topic:

Individual Quantitative Literacy Case Study. Management Essay

Essay Instructions:

Task Background

Assessment Task 2 is Fermi Problem. In Strategic Management we are using the Fermi Problem to demonstrate quantitative numeracy skills. Students will, with limited data make effective, and approximate calculations to model the efficiency of an organisation. This is a synthetic study, and there is no right or wrong answer to the Fermi Problem, however some answers may be proven to be more detailed and accurate than others.
Task Purpose
The purpose of Assessment Task 2 is to have students undertake a strategic analysis demonstrating quantitative literacy. Quantitative literacy is a required Graduate Capability for this subject.
Quantitative literacy will be assessed within the following sub-tasks:
1) Creation of a numeric dataset based on specific organizational activities;
2) Interpretation of that numeric dataset;
3) Creating a synthetic model showing calculations with the dataset as a basis;
4) Extrapolation and explanation of outcomes for the synthetic model.Case Background and Requirements:
You are the owner of two businesses. A third unrelated business operates in local competition to you.Your Business 1: A valet car wash operating in shopping centre with four hand washing bays and two vacuuming bays.
The car wash operates 8 hours per day 6 days per week.
There are 12 employees on the line, each employee is entitled to a 1 hour break in every 8 hours. Employees are distributed across the bays equally.
Your business charges $40 per wash and $10 per vacuum.
Each car takes 20 minutes to wash.
Each car takes 10 minutes to vacuum.1. Calculate the maximum gross revenue of the business operating all bays continuously in a 48 hour period.
2. Calculate the maximum gross revenue of the business operating with employee breaks included and all bays active only 75% of the 48 hour week.
Your Business 2: You are also the owner of a kebab van operating adjacent to the car wash.
The van is active from 12noon to 2am 7 days per week and employs four staff on continuous duty.
Staff are rotated out of the van every 8 hours and are entitled to hour break in every hour.
The production time for a kebab is 5 minutes.
6 kebabs can be produced simultaneously.
Each kebab is sold for $10.
Task 2:
Calculate the maximum gross revenue for the kebab van in every 98 hour period.
Calculate the maximum gross revenue for the kebab van in every 98 hour period inclusive of employee breaks.
Calculate the maximum gross revenue for the kebab van in every 98 hour period inclusive of employee breaks operating at 75% efficiency.
Competitor's Business:There is a coffee shop adjacent to the car wash and kebab van with a seating capacity of 16 people operating in the same 48 hour period as the car wash. It currently services the customers attending your car wash.
You do not own the coffee shop.
You know the coffee shop services 60% of your car wash customers.
You know coffees are charged a $4.50 and have a production cost of 30cents.
The coffee shop employs a barista and a waiter who work 8 hours per day. They often socialise with your employees during their mandatory 1 hour break in any 8 hour shift.
You suspect the coffee shop is quite profitable.
Task 3:
Make a case for either opening your own coffee shop in competition, or making an offer to purchase the coffee shop based on gross revenue calculations.Method:
You are to provide a response to this problem in approximately 1200 words (+/-10%):An introduction, main body, and conclusion must be provided.
Diagrams and calculations in tables will be essential.
References are NOT required for this submission.
Students should assume their examiner is NOT an accountant or a data-analyst and must provide written explanations for each table and model.
Provide a quantitative analysis of the selected case study using the following structure:
1) An introduction and background to the synthetic study;
2) Diagrammatic representations, tables, written interpretation demonstrating quantitative literacy and solution creation skills;3) Facts and tables, synthetically modelling the case solution.4) A written interpretation and explanation the tables and their calculations.5) A conclusion.A bibliography.

Essay Sample Content Preview:

Individual Quantitative Literacy Case Study
Name
Course
Tutor’s name
Background
The quantitative literacy case study deals with related problems of approximation and estimation, and while mathematics emphasizes precision there is often estimation, prediction, explanation and interpretation of estimated values. There are three tasks in the case with task focusing on the Fermi problem. These problems focus on calculations using limited data to obtain approximate answers that are as accurate as possible. Task 1 is gross revenue analysis valet car wash operating in a shopping center with four hand washing bays and two vacuuming bays, task 2 is gross revenue analysis kebab van operating adjacent to the car wash and task 3 is the competitor’s business where there is a coffee shop adjacent to the car wash and kebab van.
Diagrammatic representation tables, interpretation
Task 1
Car wash- Hours

8

Car wash-Days per week

6

Total hours per week

48

Employees on the line per week

12

Charges per wash

$40

Charges per vacuum

$10

Minutes to wash

20

Minutes to vacuum

10

In calculating the maximum gross revenue in a continuous in a 48 hour period
Each car takes 20 minutes to wash and 10 minutes to vacuum, there is 30 minutes to wash and vacuum and in 48 hour, there are 96 cars.
Calculating the maximum gross revenue at 75% of the bays and there are employee breaks. Each car takes 20 minutes to wash and 10 minutes to vacuum, there is 30 minutes to wash and vacuum and in 48 hour, and each day there is 1 hour break. Thus, the total hours are 42 hours.
7 hrs is 420 minutes in one day 2,520 minutes for the 6 days. The cost per wash is $40* 84 cars= $3,840 and the cost per vacuum is $10* 84 cars = $960. Total costs for one employee is 3360+840= $4,200. There are 12 employees and total revenue is 12* $ 4,200 = $50,400. At 75% this is 50,400*.75= 37,800
Task 2: kebab van
The maximum gross revenue for the kebab van in every 98 hour period
Van is active house/ day (7 days)

14

Staff rotation hrs

8

Staff beak time hrs

1

Production time for kebab in minutes. 

5

Kebabs produced simultaneously

6

Kebab sales price

$10

Total Kebabs

 288

To determine the gross revenue for the kebab van operating adjacent to the car wash the numeric depending on the time operating, number of staff members and the production time are considered to make a more accurate assessment. The van is active 12 noon to 2 am each day for the weeks, which is 14 hours* 7 days =98 hour period
* Production of kebabs in 1 hour=12 kebabs
* Kebabs produced simultaneously in 1 hour 12 kebabs* 6 kebabs produced simultaneously= 72 kebabs
* Kebabs by the four workers=72*4 workers=288 kebabs
The maximum gross revenue for the kebab van in every 98 hour period depends on the number of kebabs, the 98 hours and cost per kebab. It is estimated that there are 288 kebabs since there are 4 workers and 72 kebabs can be made simultaneously by these workers.
The gross revenue for the kebab van inclusive of...
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