an efficient algorithm for finding the optimal solution in a linear programming model is the
Linear programming Otherwise, if a feasible solution exists and if the constraint set is bounded, then the optimum value is always attained on the boundary of the constraint set, by the maximum principle for convex functions (alternatively, by the minimum principle for concave functions) since linear functions are both convex and concave. However, some problems have distinct optimal solutions: For example, the problem of finding a feasible solution to a system of linear inequalities is a linear programming problem in which the objective function is the zero function (that is, the constant function taking the value zero everywhere): For this feasibility problem with the zero-function for its objective-function, if there are two distinct solutions, then every convex combination of the solutions is a solution.
Pre-determined overhead rate A pre-determined overhead rate is the rate used to apply manufacturing overhead to work-in-process inventory. The pre-determined overhead rate is calculated before the period begins. The first step is to estimate the amount of the activity base that will be required to support operations in the upcoming period. The second step is to estimate the total manufacturing cost at that level of activity. The third step is to compute the predetermined overhead rate by dividing the estimated total manufacturing overhead costs by the estimated total amount of cost driver or activity base. Common activity bases used in the calculation include direct labor costs, direct labor hours, or machine hours.