1. Determine partial fraction decomposition of rational function. Illustrate all work.
(6x-1)/(x^2+3x-4)
2. Compute linear programming problem, illustrate work.
The producer of calculators makes 2 models: standard and scientific. 2 kinds of labor are used in process: manual-human labor and computer-machine labor. Every kind of calculator needs 30 minutes of manual labor. Standard calculator needs 45 minutes of machine labor. Scientific calculator needs 90 minutes of machine labor. Producer employees can supply the maximum of 30 hours of manual labor and 60 hours of machine labor per day. Profit on every standard calculator is $15 and $25 on scientific calculator. How many of each kind of calculator must be made per day for maximum profit? Determine ideal/maximum profit per day?