The Research and Development Division of the Prog pany has been developing four possible new product li nent must now make a decision as to which of these actually will be produced and at what levels. Theref ions research study has been requested to find ther product mix. bstantial cost is associated with beginning the produc oduct, as given in the first row of the following ta ent's objective is to find the product mix that maxim profit (total net revenue minus start-up costs).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section: Chapter Questions
Problem 68P
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Formulate a BIP model for this problem.
The Research and Development Division of the Progres-
sive Company has been developing four possible new product lines.
Management must now make a decision as to which of these four
products actually will be produced and at what levels. Therefore,
an operations research study has been requested to find the most
profitable product mix.
A substantial cost is associated with beginning the production
of any product, as given in the first row of the following table.
Management's objective is to find the product mix that maximizes
the total profit (total net revenue minus start-up costs).
Product
1
2
3
4
$50,000
$
$40,000
$70,000
$
$60,000
Start-up cost
Marginal revenue
70
60
90
$
80
Transcribed Image Text:Formulate a BIP model for this problem. The Research and Development Division of the Progres- sive Company has been developing four possible new product lines. Management must now make a decision as to which of these four products actually will be produced and at what levels. Therefore, an operations research study has been requested to find the most profitable product mix. A substantial cost is associated with beginning the production of any product, as given in the first row of the following table. Management's objective is to find the product mix that maximizes the total profit (total net revenue minus start-up costs). Product 1 2 3 4 $50,000 $ $40,000 $70,000 $ $60,000 Start-up cost Marginal revenue 70 60 90 $ 80
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