The two main products that a tortilla shop sells are tortilla chips and tortillas. The bag of tortilla chips (500 g) is sold at $30 pesos, while the kg of tortillas at $20. For the elaboration of each kg of tortilla chips, 0.6 kg of dough and 0.2 kg of flour are needed, while for the kg of tortilla, 1 kg of dough and 0.2 kg of flour are used. The maximum amount of kg of dough available is 250 while the minimum amount of flour that must be used is 34 kg. The owner knows that when making tortillas and tortilla chips, for every kg of tortilla chips he makes, he has to make a minimum of 11 kg of tortillas. In addition, the number of kgs of tortilla chips that are made must be at most 80% of the total kg of tortillas and tortilla chips. Finally, consider that the double product of the total kg of chips and tortillas is at most 660.
With the information provided, formulate an integer linear programming model that allows identifying the number of kg of chips and tortillas that must be sold to maximize income.Write a mixed integer programming model that solves this problem. (Use integer variables, where X1 = Kg of tortilla chips; X2 Kg of tortillas)