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The Carmex corp. manufactures three different types of computer chips. Each type of chip requires different amounts of processing time in three different departments as

The Carmex corp. manufactures three different types of computer chips. Each type of chip requires different amounts of processing time in three different departments as summarized below
Processing hours required per 100 chips
Chip A Chip B Chip C Hours Available
Dept 1 3 2 4 10000
Dept 2 2 4 3 9000
Dept 3 3 4 2 11000

The total profit for each type of chip may be described as follows

Chip A profit = -0.35A^2+8.3A+540

Chip B profit = -0.60B^2+9.45B+1108

Chip C profit = -0.47C^2+11C+850

where A, B, C represent the number of chips produced in 100s

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