Question A company makes two kinds of leather belts. Belt A is a high quality belt and Belt B is of lower quality. The respective profits are Rs. 0.40 and Rs. 0.30 per belt. Each belt of type A requires twice as much time as belt of type B, and if all belts were of type B, the company would make 1000 belts per day. The supply of leather is sufficient for only 800 belts per day (both A & B combined). Belt A requires a fancy buckle, and only 400 such buckles are available per day. There are only 700 buckles per day available for belt B. (i) Formulate the above as a linear programming model. (ii) Draw a neat graphical figure for the problem, shade the feasible space and (iii) Identify the optimal point.