Ikagami Retail receives shipments of a particular product from Booker Store and Paul Enterprises. Let        x = number of units of product received from Booker Store        y = number of units of products received from Paul Enterprises Requirement: a. Write an expression for the total number of units of products received by Ikagami Retail. b. Shipments from Booker Store cost P20 per unit, and shipments from Paul Ent cost P25 per unit. Develop an objective function representing the total cost of shipments to Ikagami. c. Assuming a monthly demand at Ikagami is 5,000 units, develop a constraint that requires 5,000 units to be shipped to Ikagami. d. No more than 4,000 units can be shipped from Booker, and no more than 3,000 from Paul. Develop constraints to model this situation. e. Of course, negative amounts cannot be shipped. Combine the objective function and constraints developed to state a mathematical model for satisfying the demand at Ikagami at minimum cost.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
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Ikagami Retail receives shipments of a particular product from Booker Store and Paul
Enterprises. Let
       x = number of units of product received from Booker Store
       y = number of units of products received from Paul Enterprises

Requirement:

a. Write an expression for the total number of units of products received by Ikagami Retail.
b. Shipments from Booker Store cost P20 per unit, and shipments from Paul Ent cost P25 per unit. Develop an objective function representing the total cost of shipments to Ikagami.
c. Assuming a monthly demand at Ikagami is 5,000 units, develop a constraint that requires 5,000 units to be shipped to Ikagami.
d. No more than 4,000 units can be shipped from Booker, and no more than 3,000 from Paul. Develop constraints to model this situation.
e. Of course, negative amounts cannot be shipped. Combine the objective function and constraints developed to state a mathematical model for satisfying the demand at Ikagami at minimum cost.

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