PLEASE SOLVE IT WITH CLEAR HAND WRITING WITH ALL THE STEPS

OR USE COMPUTER SO SOLVE IT

Question 3. Binding \& Nonbinding variables and Standard Forms (25 Points) A company manufactures two products (1 and 2). Each unit of product 1 can be sold for $15, and each unit of product 2 for $25. Each product requires raw material and two types of labour (skilled and unskilled). Currently, the company has available 100 hours of skilled labour, 70 hours of unskilled labour, and 30 units of raw material. Because of marketing considerations, at least 3 units of product 2 must be produced. a) Write down the mathematical model of this problem (10 points) b) Please convert the LP model to the standard form (5 points) c) The optimal solution to the LP is x1=24,x2=3. Then, calculate the value of objective function, RHS and LHS values, and point out binding and nonbinding variables (10 points). Question 3. Binding \& Nonbinding variables and Standard Forms (25 Points) A company manufactures two products (1 and 2). Each unit of product 1 can be sold for $15, and each unit of product 2 for $25. Each product requires raw material and two types of labour (skilled and unskilled). Currently, the company has available 100 hours of skilled labour, 70 hours of unskilled labour, and 30 units of raw material. Because of marketing considerations, at least 3 units of product 2 must be produced. a) Write down the mathematical model of this problem (10 points) b) Please convert the LP model to the standard form (5 points) c) The optimal solution to the LP is x1=24,x2=3. Then, calculate the value of objective function, RHS and LHS values, and point out binding and nonbinding variables (10 points)