1.Akhimo Pty Ltd has a profit function () below for two farm produce beans () and maize ().

a)Determine the amount of beans and maize that optimise profit for this company.(6)

2.Akhimo has entered into a contract with a government department to deliver 12 tons of grain, beans and maize in any combination of choice. For both farm produce, the firm faces the following cost function:

a)Derive an expression to represent the firm constraint function(4)

b)Compute and explain the significance of the constraint.(3)