SoftwareExperts Inc produces an innovative and popular finance software. The company hires the most qualified programmers with an annual salary of 180,000$ to work on the project. Each programmer produces 4,000 lines of code per month. They rent an upscale office downtown Montreal for 12,000$ per month. There is room for a maximum of 6 programmers. The sales price for this software is 6$ per line of code. The project lasts a year. a) How many programmers should Software Experts hire to maximize total profit? b) What is the maximum total profit for the year for this project? c) What is the maximum profit per line of code for the year?