Beta Glassworks Ltd. manufactures bottles for the beverage industry. The
company specializes in producing bottles of three different capacities: 0.2 litre,
0.3 litre and 0.5 litre. 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
0.2 litre 0.3 litre 0.5 litre
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 1,500 bottles of 0.2 litre must be produced.
Required:
Determine how many bottles of 0.3 litre and 0.5 litre should be produced in
addition to the 1,500 bottles of 0.2 litre.