CaseInPoint is a start-up company that makes ultra-slim, protective cases in stylish bold colors for a highly popular smartphone with two models: a large MÒR model and a BEAG model. CaseInPoint uses thermoplastic polyurethane, or TPU, to make all of its phone cases. The MÒR case is larger but is mostly solid color in design. To produce a MÒR case, 30 grams of TPU are used with 35 minutes of manufacturing time. The BEAG model is smaller but more elaborate in design and requires 22 grams of TPU and 53 minutes of manufacturing time. For each production period, 700 grams of TPU and 1,500 minutes of machine time are available. The profits from the MÒR and BEAG cases are $9 and $7.50, respectively. 

a. Formulate and solve the LP model that maximizes revenue given the constraints. How many MÒR and BEAG cases should CaseInPoint make for each production period? 

b. If the amount of TPU available increases to 1,000 grams for each production period, report the new LP solution and discuss your answer.