Acompany makes a profit of $50 per software program and $35 per video game. the company can produce at most 200 software programs and at most 300 video games per week. total production cannot exceed 425 items per week. how many items of each kind should be produced per week in order to maximize the profit?
use linear programming to solve. show all your work.

Solve the inequality and graph 6j - 7 < 5

Each person in an it department of 25 people works on at least one of 3 major projects: system security, program implementation, platform development. 10 people work on system security, 13 work on program implementation, and 12 work on platform development. 4 people work on system security and platform development, 5 people work on program implementation and platform development, and 2 people work on all three projects. how many people work on system security and program implementation?

If f(x) = 3x2 - 2x+4 and g(x) = 5x + 6x - 8, find (f-g)(x).