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

## Question

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

A computer company sells 3 types of disks for their line of computer. They are of different qualities and are packaged with different types of accessories. They are sold in lots of 100. Each lot has to be manufactured, checked for errors, and ultimately packaged, each of these taking different amounts of time depending on which type of disk we are considering. The relevant information for each lot of 100 is given in the following table: Each day the company Time (in hours) Disk Type Manufacturing Checking Packaging Profit 2 0 0.1 .2 0.2 \$10 \$15 \$25 12 has available 120 manufacturing hours (12 workers do the manufacturing and each works 10 hours per day), 30 checking hours, and 20 packaging hours. How many lots of each should be made to maximize the profits, assuming that there must be at least 10 lots of the first disk type made, and assuming that the number of lots of type 2 disks be at least twice as many as the number of lots of type 3 disks. (Assume that all lots made can be sold.)

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