Properties of objectively determined estimates and their analysis

Analysis of the task using objectively determined estimates shows that the first resource (wood) is not fully used. You can make sure that for the optimal plan found, 96 cubic meters of wood is enough, and 104 cubic meters are redundant. Changing the wood limit from 200 to 96 cubic meters will not affect the optimal plan. Consequently, objectively conditioned estimates are sustainable within certain limits of changes in the baseline conditions of the task.

Objectively conditioned estimates act as a measure of resource scarcity. Wood, whose objectively conditioned valuation is zero, is not scarce, and labor resources with an objectively conditioned assessment equal to our task 33.3 are scarce and are fully used.

Objectively conditioned estimates act as a measure of the influence of restrictions on the target function with the increment of this resource per unit. For example, reducing the task of producing tables from 80 to 79 increases the target function by 220 rubles, and increasing labor resources from 1800 to 1801 people. increases the objective function (if you remove the condition of integerity) by 33.3 rubles.

Objectively conditioned estimates act as measures of the interchangeability of reserves (restrictions). So, for example, if you increase the task of producing tables by one, then in order for the objective function to remain the same, you need to add 6.6 people-number. (220/33.3). In this case, x1 will be 81, x2 = 1391, and the value of the objective function will be 42400.

It should be borne in mind that with a significant change in the initial conditions of the task, usually, a different rating system is obtained. Consequently, objectively conditioned estimates have the property of concreteness, since they are determined by the totality of the conditions of a certain task. For another task and other conditions, their meanings will be completely different.