please provide detailed explanation for the following question

The number of production units of three (3) products x,y, and z is such that the combined units x,y, and z cost USD 750 in any given month. The production costs per unit are quoted as USD 2, 2.50 and 3 respectively with a total budgeted cost of USD 1925. Additionally, if all units produced are sold at unit selling prices of USD 3.40, 4 and 5.40 respectively with total revenue of USD 3300. Write THREE (3) linear equations to represent the information. (3 marks) Write the system of linear equations in matrix form. (3 marks) Using the method of determinants, determine the number of units of each product produced and sold. (14 marks)