Homework Assignment

1
Homework Assignment
GOAL PROGRAMMING
SHAWHAN FILE WORKS
MGMT E-5050
Geraldine Shawhan is president of a firm that
manufactures two types of metal file cabinets.
Demand for her 2-drawer model is up to 600
weekly, while demand for her 3-drawer model is
limited to 400 weekly. The firm has a weekly
operating capacity of 1,300 hours, with the
2-drawer cabinet taking 1 hour to produce and the
3-drawer cabin- et requiring 2 hours. Each
2-drawer model yields a 10.00 profit, while the
profit for the large model is 15.00 .
Due Tuesday , January 15th
2
Homework Assignment
GOAL PROGRAMMING
SHAWHAN FILE WORKS

• Shawhan has listed the following goals in order
  of importance
• Attain a profit as close to 11,000.00 as
  possible each week.
• Avoid underutilization of the firms production
  capacity.
• Sell as many 2-drawer cabinets and 3-drawer
  cabinets as
• the demand indicates.
• REQUIREMENT
• Formulate the goal programming model.
• Solve this problem on QM for WINDOWS.

3
Homework Assignment
GOAL PROGRAMMING
SHAWHAN FILE WORKS
Let X1 number of 2-drawer
cabinets produced weekly X2
number of 3-drawer cabinets produced weekly
d1 underachievement of profit goal
d1 overachievement of profit
goal d2 idle time in production
capacity d3 underachievement of
sales goal for 2-drawer cabinets
d4 underachievement of sales goal for 3-drawer
cabinets
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4
Homework Assignment
THE CAMPAIGN MANAGER
GOAL PROGRAMMING
The campaign manager for a politician who is
running for reelection is currently engaged in
the planning process. Four ways to advertise have
been selected television ads, radio ads,
billboards, and newspa- per ads. The costs are as
follows -
900.00 for each television ad
- 500.00 for each radio ad
- 600.00 for a
billboard for one month
- 180.00 for each newspaper ad The
audience reached by each type of advertising has
been estimated at
- 40,000 for each
television ad -
32,000 for each radio ad
- 34,000 for each billboard
- 17,000 for each
newspaper ad The total monthly advertising
budget is 16,000.00
Due Tuesday , January 15th
5
Homework Assignment
THE CAMPAIGN MANAGER
GOAL PROGRAMMING

• The following goals have been established and
  ranked
• The number of people reached should be at least
  1,500,000.
• The total monthly advertising budget should not
  be exceeded.
• Together, the number of ads on either television
  or radio should
• be at least six (6).
• No more than ten (10) ads of any type of
  advertising should be
• used.
• REQUIREMENT
• Formulate this as a goal programming problem.
• Solve this problem via QM for WINDOWS.
• Which goals are completely met and which of them
  are not?

6
Homework Assignment
THE CAMPAIGN MANAGER
GOAL PROGRAMMING
Let X1 the number of
television ads X2 the
number of radio ads X3
the number of billboard ads
X4 the number of newspaper ads Subject to
(1) the number of
people reached. (2) the
budget. (3) the number
of TV or radio ads. (4)
restriction on the number of each
individual type of ad.