A TV company produces two types of TV sets, the Astro and the Cosmo. There are two production lines, one for each set, and there are two departments, both of which are used in the production of each set. The capacity of the Astro production line is 70 TV sets per day. The capacity of the Cosmo line is 50 TV sets per day. In department A picture tubes are produced. In this department the Astro set requires 1 labor hour and the Cosmo set requires 2 labor hours. Presently in department A a maximum of 120 labor hours per day can be assigned to production of the two types of sets. In department B the chassis is constructed. In this department the Astro set requires 1 labor hour and the Cosmo also requires 1 labor hour. Presently, in department B a maximum of 90 labor hours per day can be assigned to production of the two types of sets. The profit contributions are 20 and 10 dollars, respectively, for each Astro and Cosmo set. If the company can sell as many Astro and Cosmo sets as it produces, what should be the daily production plan (i.e., the daily production) for each set? Formulate Astro and Cosmo as an LP model. Write the symbolic LP model, develop the Excel LP model, and optimize it with Solver