Question

3. A company makes a profit of $60 per software program and $45 per video game. The company can produce at most 300 software programs and at most 200 video games per week. Total production cannot exceed 400 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. Answer:

Answer 1

Explanation:

This problem is a maximization problem

the objective is to maximize profit

let software program be x

and video program be y

the objective function is

60x+45y>P-------1

constrains

300x+200y<400------2

we can further reduce the expressions

3x+2y<4-----2