Linear programming problem A manufacturer makes pens and pencils. In the first ones a profit of $ 5 per unit is obtained and in the second $ 3 per unit. Both products go through 3 processes: Molding, Assembling and Testing. The pens require 4 minutes, 2 minutes and 3 minutes respectively in the mentioned processes. The pens require 1 minute, 2 and 2 minutes respectively. The time available for each process respectively is 1,200 minutes, 1,000 minutes and 1,200 minutes. Instructions: 1. Determine where the combination is optimal production and what is this. (if there is no optimal combination, indicate at which point the maximum profit is obtained) 2. Indicate what the value is

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