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answer the question 1 to 13 abt linear programming

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1. the questions will be provided. there are 13 questionsThe factory manager for Twittle Tums is considering manufacturing two types of chewing gums: regular (R) and sugar-free (S). The resources needed to produce the chewing gums are labor – 8 hours and fructose, which is a key ingredient and limited only to 675 gallons per day. Producing a box of regular gum requires 2 minutes of labor and 5 gallons of fructose. Manufacturing a box of sugar-free gum needs 4 minutes of labor and 3 gallons of fructose. Profits per box are as follows: $3.00 for regular gum and $2.00 for sugar-free gum. How would you write the time constraint for this problem?

2. The factory manager for Twittle Tums is considering manufacturing two types of chewing gums: regular (R) and sugar-free (S). The resources needed to produce the chewing gums are labor – 8 hours and fructose, which is a key ingredient and limited only to 675 gallons per day. Producing a box of regular gum requires 2 minutes of labor and 5 gallons of fructose. Manufacturing a box of sugar-free gum needs 4 minutes of labor and 3 gallons of fructose. Profits per box are as follows: $3.00 for regular gum and $2.00 for sugar-free gum. The optimal daily profit is $_____. (please round your number to the nearest dollar)

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