fomulate the LP Model; identify the decision variables used in the model; and determine the optimal solution using graphical method. 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?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.6: Linear Programming
Problem 45E
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  1. fomulate the LP Model;
  2. identify the decision variables used in the model; and
  3. determine the optimal solution using graphical method.

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?

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