14. A metal products company produces waste cans, filing cabinets, file boxes for correspondence, and lunch boxes. Its inputs are sheet metal of two different thickness, called A and B, and manual labour.

Input-output relationships for the company are shown in the table given below:

The sales revenue per unit of waste cans, filing cabinet, correspondence boxes and lunch boxes are Rs 20, Rs 400, Rs 90 and Rs 20, respectively. There are 225 units of sheet metal A available in the company's inventory, 300 of sheet metal B and 190 units of manual labour. What is the company's optimal sales revenue? Also write the dual of the given problem and use it to check the optimal solution.

Transcribed Image Text:

Waste cans Filing cabinets Correspondence boxes Lunch boxes Sheet Metal-A 6 0 Sheet Metal-B 0 10 Manual Labour 4 8 202 2 3 0 3