A bank has two types of branches. A satellite branch employs 3 people, requires P2,500,000 to construct and open, and generates an average daily revenue of P4,000,000. A full-service branch employs 6 people, requires P5,500,000 to construct and open, and generates an average daily revenue of P7,000,000. The bank has up to P80,000,000 available to open new branches, and has decided to limit the new branches to a maximum of 20 and to hire at most 120 employees. How many branches of each type should the bank open in order to maximize the average daily revenue?Formulate the LP Model, define the decision variables and sketch the graph of the constraints. Determine the optimal solution.

Name: A bank has two types of branches. A satellite branch employs 3 people,
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Description: A bank has two types of branches. A satellite branch employs 3 people, requires P2,500,000 to construct and open, and generates an average daily revenue of P4,000,000. A full-service branch employs 6 people, requires P5,500,000 to construct and open,

The objective is to formulate the linear programming model, define decision variables and sketch the…

Answered: A bank has two types of branches. A…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A bank has two types of branches. A satellite branch employs 3 people, requires P2,500,000 to construct and open, and generates an average daily revenue of P4,000,000. A full-service branch employs 6 people, requires P5,500,000 to construct and open, and generates an average daily revenue of P7,000,000. The bank has up to P80,000,000 available to open new branches, and has decided to limit the new branches to a maximum of 20 and to hire at most 120 employees. How many branches of each type should the bank open in order to maximize the average daily revenue?

Formulate the LP Model, define the decision variables and sketch the graph of the constraints. Determine the optimal solution.

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