The term B. One Optimal Solution best describes the system of inequalities 2x + y < 15, 3x + y < 12, f(x, y) = 2x + 2y.
What are inequalities and their types?
Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, Two inequalities 2x + y < 15 and 3x + y < 12.
has one optimal solution as if we subtract these two inequalities, 'y' will get canceled and we can have the value of 'x' from that we can determine 'y' also.
Q. Which term best describes the solution of the situation represented by the system of inequalities? 2x + y < 15, 3x + y < 12, f(x,y) = 2x+2y
A. alternate optimal solutions
B. One Optimal Solution
C. Unbounded
D. Infeasible