Do not solve list all the X and Y variables, objective function and contraints for the below problem ASW Publishing, Inc., a small publisher of college textbooks, must make a decision regarding which books to publish next year. The books under consideration are listed in the following table, along with the projected threeyear sales expected from each book. Book Subject Type of Book Projected Sales (000s) Business calculus New 20 Finite mathematics Revision 30 General statistics New 15 Mathematical statistics New 10 Business statistics Revision 25 Finance New 18 Financial accounting New 25 Managerial accounting Revision 50 English literature New 20 German New 30 The books that are listed as revisions are texts that ASW already has under contract; these texts are being considered for publication as new editions. The books that are listed as new have been reviewed by the company, but contracts have not yet been signed.The company has three individuals who can be assigned to these projects, all of whom have varying amounts of time available; John has 60 days available, and Susan and Monica both have 40 days available. The days required by each person to complete each project are shown in the following table. For instance, if the business calculus book is published, it will require 30 days of John's time and 40 days of Susan's time. An ''X" indicates that the person will not be used on the project. Note that at least two staff members will be assigned to each project except the finance book Book Subject John Susan Monica Business calculus 30 40 X Finite mathematics 16 24 X General statistics 24 X 30 Mathematical statistics 20 X 24 Business statistics 10 X 16 Finance X X 14 Financial accounting X 24 26 Managerial accounting X 28 30 English literature 40 34 30 German X 50 36 ASW will not publish more than two statistics books or more than one accounting text in a single year. In addition, management has decided that one of the mathematics books (business calculus or finite math) must be published, but not both.
Do not solve list all the X and Y variables, objective function and contraints for the below problem
ASW Publishing, Inc., a small publisher of college textbooks, must make a decision regarding which books to publish next year. The books under consideration are listed in the following table, along with the projected threeyear sales expected from each book.
Book Subject Type of Book Projected Sales (000s)
Business calculus New 20
Finite mathematics Revision 30
General statistics New 15
Mathematical statistics New 10
Business statistics Revision 25
Finance New 18
Financial accounting New 25
Managerial accounting Revision 50
English literature New 20
German New 30
The books that are listed as revisions are texts that ASW already has under contract; these texts are being considered for publication as new editions. The books that are listed as new have been reviewed by the company, but contracts have not yet been signed.The company has three individuals who can be assigned to these projects, all of whom have varying amounts of time available; John has 60 days available, and Susan and Monica both have 40 days available. The days required by each person to complete each project are shown in the following table. For instance, if the business calculus book is published, it will require 30 days of John's time and 40 days of Susan's time. An ''X" indicates that the person will not be used on the project. Note that at least two staff members will be assigned to each project except the finance book
Book Subject John Susan Monica
Business calculus 30 40 X
Finite mathematics 16 24 X
General statistics 24 X 30
Mathematical statistics 20 X 24
Business statistics 10 X 16
Finance X X 14
Financial accounting X 24 26
Managerial accounting X 28 30
English literature 40 34 30
German X 50 36
ASW will not publish more than two statistics books or more than one accounting text in a single year. In addition, management has decided that one of the mathematics books (business calculus or finite math) must be published, but not both.
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