Beta Glassworks Ltd. Manufactures bottles for the beverage industry. The company specializes in producing bottles of three different capacities 0.2litre, 0.3litre, 0.5litre. the three types of bottles are made by two machines A and B. The number of hours required for each type of bottle on each machine is as shown below: Type of bottle 0.2litre 0.3litre 0.5litre Machine A 0.45 0.75 0.60 Machine B 0.30 0.15 0.75 Machine A has 3.825 hours available and machine B has 2.025 hours available. The management has decided that 1,500bottles of 0.2litre must be produced. Required: Determine how many bottles of 0.3litre and 0.5litre should be produced in addition to the 1,500bottles of 0.2litre must be produced. (6 marks) Distinguish between input-output analysis and Markov analysis (2 marks) A miniature economy has three industries: motor vehicles, electricity and steel. These industries are interdependent. Such that, the output of one industry is the input of another. The following table shows the input ratios of each industry. Output Input Motor vehicles Electricity Steel Motor vehicles 0.17 0.25 0.25 Electricity 0.25 0.25 0.33 Steel 0.50 0.33 0.33 The Leontiff inverse matrix is computed below; (1 – A)-1 = (■(3.08&1.98&[email protected]&3.41&[email protected]&3.19&4.46)) Required: Define the term “input ratio” (2 marks) Interpret the input column and output row for motor vehicles using the input ratios table. (2 marks) Determine the primary inputs required by each industry. If the final demand is Sh.216million, Sh. 240million and Sh. 360million for motor vehicles, electricity and steel industries respectively. (6 marks) The assumptions made in making the above analysis. (2 marks)​