Mr$.$ Man Ager has to decide between $3$ competing tenders that have been submitted for an important subcontract. Since the price quoted by each of the three tenders is virtually the same, he will base his choice on three other attributes that are important to the company: completion time, quality, and financial stability $($of the subcontractor$).$ After careful consideration, Man decides to use an additive value function to compare the alternatives. The weights he assigns to the completion time is $0,5$ and to quality $0,3.$ Man assesses the performance of each subcontractor on each of the attributes as follows:

Shark $($Pty$)$ Ltd Thief $($Pty$)$ Ltd Fraud $($Pty$)$ Ltd

Completion time ps$($s$0)45$

Quality $69$ pf$($f$0)$

Financial stability $7$ pt$($t$0)8$

where

Which subcontractor should Man choose? Show all your calculations.