A company has three operational departments (weaving, processing and packing) with capacity to produce three different types of clothes namely suitings, shirtings and woollens yielding the profit Rs. 2. Rs. 4 and Rs. 3 per meter respectively. One-meter suiting requires 3 minutes in weaving, 2 minutes in processing and 1 minutes in packing. Similarly, one meter of shirting requires 4 minutes in weaving. 1 minute in processing and 3 minutes in packing while one meter woollen requires 3 minutes in each department. In a week, total run time of each department is 60, 40 and 80 hours for weaving, processing and packing departments respectively.
Formulate the linear programming problem and solve the problem with Simplex method to find the product mix to maximize the profit.
Let x1, x2 and x3 denote the number of meters produced of suitings, shirtings and woollens respectively​