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in Linear Programming by (90 points)

Strong Construction Company is interested in taking loans from banks for some of its projects P, Q, R, S, T. The rates of interest and the lending capacity differ from bank to bank. All these projects are to be completed. The relevant details are provided in the following table.

                                                Interest rate in percentage for                                 Max. Credit (in sh 000)

Bank                                                      P            Q             R             S              T

Equity                                                   20           18           18           17           17                           175

National Bank                                  16            16           16           15           16                           100

Cooperative Bank                            15           15           15           13           14                           400

Amount required (sh 000)         200           150         130         125         75          

Required:

  1. Assuming the role of a consultant Using North West Corner , Least Cost  method  and Vogels Approximation Method , advise this company as to how it should take loans so that the total interest payable will be the least.
  2.  Test for Optimality using Stepping Stone Method  [15 Marks]

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