Vollmer Manufacturing produces three materials for sale: Material 1, Material 2, and Material 3. The materials are processed by two machines: Machine A and Machine B. So, each lb of a material needs to be processed by both machines. The times required of each machine are as follows (in minutes per lb): Material 1 2 3 Machine A Machine B 6 4 4 4 5 2 Machine A is available for 120 hours, and Machine B for 110 hours. Due to partnership agreements and regulations, no more than 200 lbs of Material 3 can be sold, but up to 1,000 lbs of each of the other materials can be sold. Vollmer assumes that all material produced will be sold. The company already has an order for 600 lbs of Material 1. The profit contributions for Materials 1, 2, and 3 are $8/lb, $6/lb, and $5/lb, respectively. What is the maximum possible profit? (Express answer in $, rounded to 2 places past decimal) What is the maximum possible profit minus the shadow price of the Machine A availability constraint? (Express answer in $, rounded to 2 places past decimal) If time available on Machine A were reduced by 1 minute (all other requirements and limits stay the same as in original model), then what would be the maximum possible profit? (Express answer in $, rounded to 2 places past decimal) If time available on Machine A were reduced by 250 minutes (all other requirements and limits stay the same as in original model), then what would be the maximum possible profit? (Express answer in $, rounded to 2 places past decimal) If profit contribution of Material 1 were reduced by $0.15/lb (all other requirements and limits stay the same as in original model), then what would be the optimal production quantity Material 1? (Express answer rounded to 2 places past decimal) What is the minimum increase in the profit contribution of Material 3 (all other requirements and limits stay the same as in original model) that would merit production of any Material 3? (Express answer in $/lb, rounded to 2 places past decimal)