NEED ASAP. Indicate the answer with full solution. put as well as the objective equation and inequalities equation for the constraints equation. I will give righteous feedback and thumbs up as usual if satisfied. Thanks in advance.

A coal powerplant can use two types of coal, China coal (A) and African coal (B). Coal A costs 20 pesos per kg while coal B costs 15 pesos per kg. The minimum order for coal A is 5000kg while for coal B is 3000kg. The calorific value of coal A is 35MJ/kg while coal B is 25MJ/kg. Coal A produces 0.2kg of sulfur dioxide per kg of coal, while coal B produces 0.1kg sulfur per kg burnt. Coal A produces 0.01kg particulate matter per kg burned while B produces 0.002kg. Environmental laws limit the amount of sulfur dioxide and particulate matter to 5000 kg and 2000 kg, respectively. Solve the linear programming problem by defining the objective function (30%) and the constraints (30%), then answer the following questions. Show the solution/table for each question (40%). What is the fuel mix (ratio of coal A to coal B) that will give the maximum output of energy for the power plant? (50 pts) What is the fuel mix that will give the lowest price given the constraints? (50 pts)