Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
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A company manufactures three products 1, 2, and 3. Each product requires production time in three
departments as shown below:
PRODUCT DEPARTMENT 1 DEPARTMENT 2 DEPARTMENT 3
1
3 hr/unit
2 hr/unit
1 hr/unit
2
4 hr/unit
1 hr/unit
3 hr/unit
3
2 hr/unit
2 hr/unit
3 hr/unit
There are 500, 400, and 300 hours of production time available in the three departments, respectively. If
products 1, 2, and 3 contribute $3, $4, and $2.5 per unit to profit, answer the following questions:
(You may attach your solution or write in the box)
a)
Define the decision variables (2 marks).
b)
Write all constraints (3 marks).
c)
Write the objective function (define whether it is a maximization or minimization) (1.5 marks)
A store purchased x packages of AAA batteries at $5 per package and y packages of AA batteries at $7 per package for a total cost of $135. If at least one package of each type of battery was purchased, what are the possibilities of the number of packages of AAA batteries and the number of packages of AA batteries?
GENERATE THE DECISION VARIABLE SOLUTION AND
GENERATE AN ANSWER REPORT
2. During the winter WeeMow Lawn Service contracts with customers for cutting lawns starting in the
spring. WeeMow provides service to residential and commercial customers. The service has
identified 50 possible residential customers and 15 potential commercial customers it has
contacted. WeeMow services a customer once every 2 weeks during the growing season. A
residential lawn on average takes 1.2 hours to cut, and a commercial property requires 5 hours to
cut; the service's available work time is 8 hours, 6 days per week. The profit for a residential lawn is
$23, and the profit for a commercial property is $61. The service has established a weekly budget of
$350 for management, gas, and other materials, plus equipment repair. A residential lawn averages
$12 in management, gas, material, and repair costs, and a commercial property averages $20 in
costs. WeeMow wants to know how many residential and commercial jobs…
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Operations Research : Applications and Algorithms
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Computer Science
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Brooks Cole