Question

Six projects have been identified for possible implementation by a company that makes dry ice blasters, machines that propel tiny dry ice pellets at supersonic speeds so they flash freeze and then lift grime, paint, rust, mold, asphalt, and other contaminants off in-place machines and a wide range of surfaces. The present worth of each project has been determined. Identify all acceptable mutually exclusive bundles if the budget limitation is $32,000. Arrange the acceptable bundles in such a way that the total PW values are in ascending order.

Project	Project PW at 15%, $
L	29,000
M	11,000
N	41,000
O	35,000
P	6,000
Q	2,000

Bundle	Total PW, $
(Click to select)  L  Q  P  M
(Click to select)  P  Q  M  L
(Click to select)  PQ  OP  MP  OQ
(Click to select)  M  Q  R  P
(Click to select)  MP  MQ  LQ  -
(Click to select)  OQ  MP  LQ  MQ
(Click to select)  OPQ  LPQ  LMQ  MPQ
(Click to select)  O  Q  L  P
(Click to select)  PQ  OQ  LP  LQ
(Click to select)  L  -  P  M
(Click to select)  LQ  -  MP  PQ
(Click to select)  -  LQ  MQ  MP
(Click to select)  OPQ  LMQ  -  MPQ
(Click to select)  -  NQ  LP  OP
(Click to select)  Q  P  O  -
(Click to select)  NQ  -  LP  OQ
(Click to select)  LPQ  -  OPQ  LMP
(Click to select)  NP  -  LM  OP
(Click to select)  LPQ  -  MPQ  LMP
(Click to select)  OP  LM  -  OQ
(Click to select)  -  OPQ  LMQ  LPQ
(Click to select)  NQ  MO  -  LQ
(Click to select)  LMQ  -  LMP  OPQ
(Click to select)  -  LOPQ  MNPQ  MNOP
(Click to select)  LPQ  OPQ  LMP  -

Answer 1

Since the budget is given to be $35000 therefore, all those bundles of the projects will be chosen whose summed values are less than $35000 individual bundles, within the given range and in ascending order are project project PW at 15%, s 2000, 6000, 11000, 29000, 35000. All other projects except for the five mentioned above, are exceeding the given budget. Apart from the above the accepted bundles are PQ, MQ, LQ, MP, LP, MPQ. Therefore the bundles are given as : Project project PW at 15%, s 2000, 6000, 11000, 29000, 35000 6000+2000 8000 PQ MQ1000+2000 13000 LQ 29000+ 2000- 31000 MP LP 11.000+ 6000 - 17000 29.000+ 6.000 35000 MPQ 11000+6000+2000-19000 Therefore there are 6 bundles that can be accepted. In ascending order these are given as Project PQ MQ MP MPQ LQ LP project PW at 15%, s 8,000 13,000 17,000 19,000 31,000 35,000