Course Code: MATH 0203
Course Title: Quantitative Methods II
Term: January – April 2021
Due Date: March 22nd , 2021
There are two case studies attached to this document. Both cases are to be completed as follow:
1. You are to prepare a Work Breakdown Structure and a Ghant Chart showing your project plan using MS Office
Project.
2. Both cases you need to create a work breakdown structure, network diagram and complete the questions
electronically (Network diagrams to be drawn on the computer).
Note: For the campus wedding case, you need to double click on the case, and it will open the PDF with the
full document.
3. A PowerPoint Presentation is to be prepared summarizing the two cases, outlining any assumptions you may
have made, your network diagram and working leading to your final answer. You are to present on due date,
taking no more than 10 - 15 minutes to get your presentation on the computer and presented.
4. No late submissions will be accepted. Projects are to be submitted via MS Teams on or before the start of class
on the due date.
Breakdown of Marks:
MS Project Preparation
Campus Wedding A & B
Sales Position Hire Case
MS Powerpoint
Total
20 Marks
40 Marks
30 Marks
10 Marks
100 Marks
1.
2. A business is launching a new product. The launch will require a number of related activities as follows
– hire a sales manager (5 weeks), require the sales manager to recruit salespeople (4 weeks), train the
salespeople (7 weeks), select an advertising agency (2 weeks), plan an advertising campaign with the
agency (4 weeks), conduct the advertising campaign (10 weeks), design the packaging of the product (4
weeks), set up packing operation (12 weeks), pack enough products for the launch stock (8 weeks), order
the launch quantity of products from the manufacturer (13 weeks), select distributors for the product (9
weeks), take initial orders from the distributors (3 weeks), dispatch the initial orders to the distributors
(2 weeks).
a. What is the earliest time that the new product can be introduced to the market?
[10]
b. If the company hire trained salespeople who do not need further training, could the product be
introduced 7 weeks earlier?
c. How long could one delay selecting the advertising agency?
[5]
[5]
d. In the problem above, if the sales manager cannot be hired for 3 weeks, how will that affect the
total project?
[5]
e. In the previous problem, if the whole project launch operation is to be completed as rapidly as
possible, what activities must be completed by the end of week 16?
[5]
3. A corporation plans on building a maximum of 11 new stores in a large city. They will build these stores
in one of three sizes for each location – a Convenience Store (open 24 hours), Standard Store, and an
Expanded Services Store. The Convenience Store requires $4.125 million to build and 30 employees to
operate. The Standard Store requires $8.25 million to build and 15 employees to operate. The ExpandedServices Store requires $12.375 million to build and 45 employees to operate. The corporation can
dedicate $82.5 million in construction capital, and 300 employees to staff the stores. On the average,
the Convenience Store nets $1.2 million annually, the Standard Store nets $2 million annually, and the
Expanded Services Store nets $2.6 million annually. If the corporation must build at least 2 Expanded
Services Store, how many of each should they build to maximize revenue? (Solve Using MS Excel Solver)
[15]