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 $44,000. 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 |
Here,
The total budget is $44,000
Now let's start with L,
L cost is $29,000, it can be clubbed with
M, Total Cost = $40000
M&Q, Total Cost = $42000
P, Total Cost = $35000
P&Q,total Cost = $37,000
Q, total cost = $31,000
Now for M,
M cost if $11,000
P, Total Cost = $17000
P&Q,total Cost = $19,000
Q, total cost = $13000
Now for N,
N cost is 41000
Q total cost = 43000
Now for O,
O&P = 41000
O&Q = 37000
O,P&Q = 43000
Now for P,
P&Q = 8000
So combinations we have with increasing order,
Combinations | Bundle Cost |
P&Q | 8000 |
M&Q | 13000 |
M&P | 17000 |
M&P&Q | 19000 |
L&Q | 31000 |
L&P | 35000 |
O&Q | 37000 |
L&P&Q | 37000 |
L&M | 40000 |
O&P | 41000 |
L&M&Q | 42000 |
O,P&Q | 43000 |
N&Q | 43000 |
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