STL Furniture produces three types of chairs: A, B, C. These chairs sell for A-$1,250, B-$800, C-$600. The general manager wants to determine how many chairs to build of each type during the next quarter. Model A requires 5 hours to build, while model b requires 4 hours and model C requires 3 hours, the company has 8000 labor hours available, and each hour of labor costs 75 dollars. In order to sell these chairs, the company has to pay a one-time licensing fee for the design which is different for each of the models: A-$125, B-$200, C-$100. In order to guarantee that there is enough variety available for customers, the company has decided to produce a minimum of 300 units for each model. Develop a linear model with binary variables that can be used to maximize the company's profit, correctly accounting for fixed costs and staying within resource availabilities. What is the profit for the optimal solution