a) Explain the following characteristics of operations research i) Operation research is helpful in.

a) Explain the following characteristics of operations research

i) Operation research is helpful in improving the quality of solutions

ii) Operations research is multidisciplinary

iii) Operations research uses systems approach [3 Marks]

b) A farmer has 70 hectares of land available for growing wheat and barley. The cost of growing 1 ha of wheat is $30 and the cost for growing 1 ha of barley is $20 and the farmer has only $1800 available. The labour per ha is 2 man days for wheat and 4 man days for beans and a total of 240 man days f labour are available. If he makes a profit of $800 for 1 ha of barley and $700 for 1 ha of maize, formulate the underlying linear program and solve it graphically.[5 Marks]