The Enginola Television Company produces two types of TV sets, the "Astro" and the "Cosmo". There are two production lines, one for each set.

3. The Enginola Television Company produces two types of TV sets, the \"Astro\" and the \"Cosmo\". There are two production lines, one for each set. The Astro production line has a capacity of 60 sets per day, whereas the capacity for the Cosmo production line is only 50 sets per day. The labor requirement for the Astra set is 1 person-hour, whereas the Cosmo requires a full 2 person-hours of labor. Presently, there is a maximum of 120 man-hours of labor per day that can be assigned to production of the two types of sets. If the profit contributions are $20 and $30 for each Astro and Cosmo set, respectively, what should be the daily production? Solve this problem using LINGO software, (see the notes Practice 02 document), and after that analyze the following situations expressing the new solutions. a) If we forget to include the labor constraint and the constraint on the production of Cosmos b) The maximum ma n-hours of labor per day that can be assigned now is 190. c) Suppose the profit contribution of A happened to be $15 rather than $20