A toy manufacturer has a workshop consisting of plastic and assembly departments, where they produce two different types of toys, A and B. There are two workers in each department, and each worker works for 7.5 hours a day. The required time for processing one unit of type A toy is 4 minutes in the plastic department and 2 minutes in the assembly department. Similarly, the required time for processing one unit of type B toy is 1 minute in the plastic department and 3 minutes in the assembly department. The unit contributions of the toys are 800,000 TL and 1,200,000 TL, respectively. The manufacturer aims to maximize the contribution of the product according to the given conditions. Formulate the linear programming (LP) model of the decision problem of the toy manufacturer based on the information provided above.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
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A toy manufacturer has a workshop consisting of plastic and assembly departments, where they produce two different types of toys, A and B. There are two workers in each department, and each worker works for 7.5 hours a day. The required time for processing one unit of type A toy is 4 minutes in the plastic department and 2 minutes in the assembly department. Similarly, the required time for processing one unit of type B toy is 1 minute in the plastic department and 3 minutes in the assembly department. The unit contributions of the toys are 800,000 TL and 1,200,000 TL, respectively. The manufacturer aims to maximize the contribution of the product according to the given conditions. Formulate the linear programming (LP) model of the decision problem of the toy manufacturer based on the information provided above.

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