Introduction to mathematical programming
4th Edition
ISBN: 9780534359645
Author: Jeffrey B. Goldberg
Publisher: Cengage Learning
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Expert Solution & Answer
Chapter 3, Problem 41RP
Explanation of Solution
Assets allocation:
- Assume the following,
- Let “A” be the points allocated to Ann.
- Let “B” be the points allocated to Ben.
- Let “Rt” be the fraction of the “retirement” property given to Ann.
- Let “H” be the fraction of the “home” property given to Ann.
- Let “S” be the fraction of the “summer cottage” property given to Ann.
- Let “I” be the fraction of the “investments” property given to Ann.
- Let “Mis” be the fraction of the “miscellaneous assets” property given to Ann...
Explanation of Solution
Problem:
- To divide the properties between Ann and Ben, without any contradiction, the fraction of assets should be considered.
- Let “A” be the points allocated to Ann.
- Let “B” be the points allocated to Ben.
- Let “Rt” be the fraction of the “retirement” property given to Ann.
- Let “H” be the fraction of the “home” property given to Ann.
- Let “S” be the fraction of the “summer cottage” property given to Ann.
- Let “I” be the fraction of the “investments” property given to Ann.
- Let “Mis” be the fraction of the “miscellaneous assets” property given to Ann...
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The Livewright Medical Supplies Company has a total of 12 salespeople it wants to assign to
three regions-the South, the East, and the Midwest. A salesperson in the South earns $600 in
profit per month for the company, a salesperson in the East earns $540, and a salesperson in
the Midwest earns $375. The southern region can have a maximum assignment of five sales-
people. The company has a total of $750 per day available for expenses for all 12 salespeople.
A salesperson in the South has average expenses of $80 per day, a salesperson in the East has
average expenses of $70 per day, and a salesperson in the Midwest has average daily expenses
of $50. The company wants to determine the number of salespeople to assign to each region
to maximize profit.
a. Formulate an integer programming model for this problem.
b. Solve this model by using the computer.
QUESTION 15
Al Watan supermarket has hire-purchases scheme for locals and expats. The customers will get the credit facility if they satisfy any of the
following conditions:
1. The customer must hold the present job for more than 5 years and reside in the same place at least for 3 years. In this case, the
customer will get credit upto rupees 300 omr.
2. The monthly salary of the customer must exceed 1000 omr and must hold the present job for more than 5 years. In this case credit will
be given upto rupees 500 omr.
3. The monthly salary must exceed 1000 omr and reside at the same place at least for 3 years. In this case credit will be given upto 500
omr.
4. In the case, the customer's monthly salary exceeds 1000 omr, holds the present job for more than 5 years and also reside in the same
place at least for the 3 years, the credit facility will be upto 1000 omr
5. The credit facility is rejected for all other customers.
Prepare a Decision Table for this hire- purchase scheme.
Attach File…
QUESTION 15
Al Watan supermarket has hire-purchases scheme for locals and expats. The customers will get the credit facility if they satisfy any of the
following conditions:
1. The customer must hold the present job for more than 5 years and reside in the same place at least for 3 years. In this case, the
customer will get credit upto rupees 300 omr.
2. The monthly salary of the customer must exceed 1000 omr and must hold the present job for more than 5 years. In this case credit
will be given upto rupees 500 omr.
3. The monthly salary must exceed 1000 omr and reside at the same place at least for 3 years. In this case credit will be given upto 500
omr.
4. In the case, the customer's monthly salary exceeds 1000 omr, holds the present job for more than 5 years and also reside in the same
place at least for the 3 years, the credit facility will be upto 1000 omr
5. The credit facility is rejected for all other customers.
Prepare a Decision Table for this hire- purchase scheme.
Chapter 3 Solutions
Introduction to mathematical programming
Ch. 3.1 - Prob. 1PCh. 3.1 - Prob. 2PCh. 3.1 - Prob. 3PCh. 3.1 - Prob. 4PCh. 3.1 - Prob. 5PCh. 3.2 - Prob. 1PCh. 3.2 - Prob. 2PCh. 3.2 - Prob. 3PCh. 3.2 - Prob. 4PCh. 3.2 - Prob. 5P
Ch. 3.2 - Prob. 6PCh. 3.3 - Prob. 1PCh. 3.3 - Prob. 2PCh. 3.3 - Prob. 3PCh. 3.3 - Prob. 4PCh. 3.3 - Prob. 5PCh. 3.3 - Prob. 6PCh. 3.3 - Prob. 7PCh. 3.3 - Prob. 8PCh. 3.3 - Prob. 9PCh. 3.3 - Prob. 10PCh. 3.4 - Prob. 1PCh. 3.4 - Prob. 2PCh. 3.4 - Prob. 3PCh. 3.4 - Prob. 4PCh. 3.5 - Prob. 1PCh. 3.5 - Prob. 2PCh. 3.5 - Prob. 3PCh. 3.5 - Prob. 4PCh. 3.5 - Prob. 5PCh. 3.5 - Prob. 6PCh. 3.5 - Prob. 7PCh. 3.6 - Prob. 1PCh. 3.6 - Prob. 2PCh. 3.6 - Prob. 3PCh. 3.6 - Prob. 4PCh. 3.6 - Prob. 5PCh. 3.7 - Prob. 1PCh. 3.8 - Prob. 1PCh. 3.8 - Prob. 2PCh. 3.8 - Prob. 3PCh. 3.8 - Prob. 4PCh. 3.8 - Prob. 5PCh. 3.8 - Prob. 6PCh. 3.8 - Prob. 7PCh. 3.8 - Prob. 8PCh. 3.8 - Prob. 9PCh. 3.8 - Prob. 10PCh. 3.8 - Prob. 11PCh. 3.8 - Prob. 12PCh. 3.8 - Prob. 13PCh. 3.8 - Prob. 14PCh. 3.9 - Prob. 1PCh. 3.9 - Prob. 2PCh. 3.9 - Prob. 3PCh. 3.9 - Prob. 4PCh. 3.9 - Prob. 5PCh. 3.9 - Prob. 6PCh. 3.9 - Prob. 7PCh. 3.9 - Prob. 8PCh. 3.9 - Prob. 9PCh. 3.9 - Prob. 10PCh. 3.9 - Prob. 11PCh. 3.9 - Prob. 12PCh. 3.9 - Prob. 13PCh. 3.9 - Prob. 14PCh. 3.10 - Prob. 1PCh. 3.10 - Prob. 2PCh. 3.10 - Prob. 3PCh. 3.10 - Prob. 4PCh. 3.10 - Prob. 5PCh. 3.10 - Prob. 6PCh. 3.10 - Prob. 7PCh. 3.10 - Prob. 8PCh. 3.10 - Prob. 9PCh. 3.11 - Prob. 1PCh. 3.11 - Show that Fincos objective function may also be...Ch. 3.11 - Prob. 3PCh. 3.11 - Prob. 4PCh. 3.11 - Prob. 7PCh. 3.11 - Prob. 8PCh. 3.11 - Prob. 9PCh. 3.12 - Prob. 2PCh. 3.12 - Prob. 3PCh. 3.12 - Prob. 4PCh. 3 - Prob. 1RPCh. 3 - Prob. 2RPCh. 3 - Prob. 3RPCh. 3 - Prob. 4RPCh. 3 - Prob. 5RPCh. 3 - Prob. 6RPCh. 3 - Prob. 7RPCh. 3 - Prob. 8RPCh. 3 - Prob. 9RPCh. 3 - Prob. 10RPCh. 3 - Prob. 11RPCh. 3 - Prob. 12RPCh. 3 - Prob. 13RPCh. 3 - Prob. 14RPCh. 3 - Prob. 15RPCh. 3 - Prob. 16RPCh. 3 - Prob. 17RPCh. 3 - Prob. 18RPCh. 3 - Prob. 19RPCh. 3 - Prob. 20RPCh. 3 - Prob. 21RPCh. 3 - Prob. 22RPCh. 3 - Prob. 23RPCh. 3 - Prob. 24RPCh. 3 - Prob. 25RPCh. 3 - Prob. 26RPCh. 3 - Prob. 27RPCh. 3 - Prob. 28RPCh. 3 - Prob. 29RPCh. 3 - Prob. 30RPCh. 3 - Prob. 31RPCh. 3 - Prob. 32RPCh. 3 - Prob. 33RPCh. 3 - Prob. 34RPCh. 3 - Prob. 35RPCh. 3 - Prob. 36RPCh. 3 - Prob. 37RPCh. 3 - Prob. 38RPCh. 3 - Prob. 39RPCh. 3 - Prob. 40RPCh. 3 - Prob. 41RPCh. 3 - Prob. 42RPCh. 3 - Prob. 43RPCh. 3 - Prob. 44RPCh. 3 - Prob. 45RPCh. 3 - Prob. 46RPCh. 3 - Prob. 47RPCh. 3 - Prob. 48RPCh. 3 - Prob. 49RPCh. 3 - Prob. 50RPCh. 3 - Prob. 51RPCh. 3 - Prob. 52RPCh. 3 - Prob. 53RPCh. 3 - Prob. 54RPCh. 3 - Prob. 56RPCh. 3 - Prob. 57RPCh. 3 - Prob. 58RPCh. 3 - Prob. 59RPCh. 3 - Prob. 60RPCh. 3 - Prob. 61RPCh. 3 - Prob. 62RPCh. 3 - Prob. 63RP
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