Q1. - Algebra 2

Question

1.Determine whether the following statement is always, sometime or never true. A feasible region has a minimum and maximum value.

Step-by-Step Solution

Answer

A feasible region has sometime only maximum value but no minimum value. So, the statement, A feasible region has maximum and minimum value is sometime true

Step 1- First define what is feasible region

A feasible region is common region of a two or more in equation. A feasible region may be sometime bounded or unbounded

Step 2-Condition of maximum and minimum value

If the feasible region is bounded then maximum value exist. If the feasible region is unbounded then only maximum value will exist, no minimum value exist for unbounded region

Step 3-Existance of maximum and minimum value

So feasible region sometime may have only maximum value but not minimum value or sometime may have both maximum