A company has planned, authorized and budgeted 10MM in capital expenditure over the next five years to acquire new fixed assets such as property, plants and equipment. Design and solve four different resource allocation problems for the company such that:

(a) The feasible region is hounded and there is precisely one optimal solution:

(b) The feasible region is unbounded and there is precisely one optimal solution;

(c) There are no optimal solutions:

(d) There are multiple optimal solutions.