Solve the linear programming problems: (find the constraints, objective function, feasible region, and the minimumand maximum values)12. A small business produces oak chairs and walnut chairs. The business can make at most 20 chairs per week.Materials cost $100 per oak chair and $150 per walnut chair. The business has a budget of $2400 per week formaterials. Each oak chair sells for $400 and each walnut chair sells for $500. What are the number of oak and walnutchairs that the small business should produce in order to maximize / minimize sales?