14. The purchase manager of a government department is analysing a set of bids that he has received for five projects from six bidders. The guidelines established for selecting the successful bidders require the manager to

(a) minimise the total cost to complete the projects;

(b) not award more than one contract to each bidder; and (

c) disregard the lowest bid whenever it is more than 25 per cent of and below the next lowest bid (the assumption being that the quality of the work will not be up to standards). The bids on the projects (in thousands of rupees) are shown in the table that follows:

Now,

(i) identify which particular bidder(s) shall not be eligible for which particular contract(s) in pursuance of the requirement in ( c ).
(ii) identify the successful bidder for each of the five contracts.
(iii) state how much this five contract assignment will cost the department.
(iv) work out the optimal assignment pattern if the requirement

(c) is waived.

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Contract Bidder A B D E 123 +56 7 8 8 12 22 7 9 13 10 14 5 3 7 6 13 11 4 17 17 7 8 8 8 10 20 12 7 15 16 10 10 16 8