A private Mom and Pops baseball company produces double aa quality baseballs and cletes. (Baseball shoes are called cletes). They have two different plants. One is in Manhattan the other in the Bronx. The one in Manhattan produces 600 double aa quality baseballs and 240 cletes an hour. The plant in the Bronx produces 240 double aa quality baseballs and 120 cletes per hour. To operate the factory in Manhattan it costs one hundred dollars per hour. Operating the factory in the Bronx is seventy five dollars per hour. Both companies must produce at least 2,520 double aa quality baseballs and 1,080 cletes each day.
a) How many hours per day should each company operate to produce the required amounts of baseballs and cletes while minimizing the cost of production?
b) What's the minimum production cost?