A company is planning its capital budget over the next several years. There are eight potential projects under consideration. A calculation has been made of the expected net present value of each project, along with the cash outflow that would be required over the nex four years. These data, along with the cash that is available each year, are shown in the table below. (If any of the cash available in a given year is not fully used for these projects, it will be used in other ways and so will not be available in later years.) There also are the following special constraints: (a) at least one of project 1, 2, or 3 must be done, (b) project 6 and 7 cannot both be done, and (c) project 5 can only be done if project 6 is done. The objective is to determine which projects should be pursued to maximize the total expected net present value. Year 1 Year 2 Year 3 Year 4 NPV (Smil) 1 1 2 Cash Outflow Required (Smillion) Project 232 2 2 3 2 1 10 12 302 4 0 11 4 5 3 3 2 2 2 3 5 4 15 24 6 7 3 3 2 17 Formulate a BIP model in algebraic form for this problem 7 2 3 6 1 16 8 5422 2 18 Cash Available (Smillion) 20 20 20 20
A company is planning its capital budget over the next several years. There are eight potential projects under consideration. A calculation has been made of the expected net present value of each project, along with the cash outflow that would be required over the nex four years. These data, along with the cash that is available each year, are shown in the table below. (If any of the cash available in a given year is not fully used for these projects, it will be used in other ways and so will not be available in later years.) There also are the following special constraints: (a) at least one of project 1, 2, or 3 must be done, (b) project 6 and 7 cannot both be done, and (c) project 5 can only be done if project 6 is done. The objective is to determine which projects should be pursued to maximize the total expected net present value. Year 1 Year 2 Year 3 Year 4 NPV (Smil) 1 1 2 Cash Outflow Required (Smillion) Project 232 2 2 3 2 1 10 12 302 4 0 11 4 5 3 3 2 2 2 3 5 4 15 24 6 7 3 3 2 17 Formulate a BIP model in algebraic form for this problem 7 2 3 6 1 16 8 5422 2 18 Cash Available (Smillion) 20 20 20 20
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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