## Question

###### A computer company sells 3 types of disks for their line of computer. They are of...

## Answers

Answer : The combination with the given assumption and to maximise profit is as under

Time in hours Maximum Profit Disk type manufacturing checking packing Profit 1 36 12 1.2 $ 10 120 2 30 10 1 $ 15 75 3 30 7.5 0.5 $ 25 62.5 Utilized 96 29.5 2.7 257.5 Available 130 30 20 Workings

1- We have to do at least 10 lots of Disk Type 1 . Here , we have taken 12 lots of Disk Type 1

2- We have to take twice the lots of Disk 3 for Disk 2. here , we have taken 2.5 lots for Disk Type 3 and 5 lots of Disk typ3 2.

3 - Though it has consumed 96 hrs of Manufacturing , 29.5 hours of Checking and 2.7 hours of Packing

4 - Since we have to follow the assumption of Twice the Lots of Disk Type 3 has to be made for Disk 2 , we can't utilize 34 hrs of Manufacturing , while consumed almost 29.5 hrs out of 30 hrs of Packing and only 2.7 hrs out of 20 hours of Checking.

5 - We know that until a Disk is not only manufactured but duly packed and checked , it cannot be sold. Hence, any other combination of manufacturing given the constraints of 130 hours for Manufacturing , 30 hours for Checking and 20 hours for packing is not feasible.

6 - We assume that idle hours of Packing , cannot be utilized for Checking and vice versa.

Hence, with certain assumptions, we conclude that we can maximize our revenue upto $ 257.5 with the given constraints / assumptions.