Consider a reginal power system with two generating station, A and B. This stati
ID: 2902536 • Letter: C
Question
Consider a reginal power system with two generating station, A and B. This station serve customers in region X and Y. Customers in region X have a total demand of 35MW(megawatts),while customers in region Y have a total demand of 50MW.Generating station A has a production capacity of 105MW, with an operating cost $119 per MW.Generating station B has a production capacity of 120MW, with an operating cost of $120 per MW. Power can be transmitted directly from a generaing station to a customer region, but there is a 15% loss in power. Power can also be trasmitted from one generating station to the other .In this case there is a 10% loss in power.Each transmission line has a maximum capacity (in units of MW), as shown in the following table (where "-" indicates that no power can be transmitted):
The goal is to find an optimal plan for power distribution, including the quality of power generated at each statation.
a. clearly define the decision variable required to solve this problem.
b.Formulate the linear program (LP) associated with the this problem.
c.Solve the proble using Gurobi.
d.Use a table to provide a summary of your solution
To From A B X Y A - 65 45 50 B 95 - 40 55Explanation / Answer
ANALYSIS AT THE OUT SET,LET ME POINT OUT THAT , THERE IS NO PROGRAMMING INVOLVED IN THIS