Question
An LPP has constraints: x + y ≤ 4
x + y ≥ 6 x, y ≥ 0 What can be said about the feasible region?Solution
To determine the nature of the feasible region for the given Linear Programming Problem (LPP) constraints, let's analyze each inequality: 1.    x+y≤4: This inequality represents a region below or on the line x+y=4. In the first quadrant (x≥0,y≥0), this region is bounded by the x-axis, the y-axis, and the line x+y=4. 2.    x+y≥6: This inequality represents a region above or on the line x+y=6. In the first quadrant (x≥0,y≥0), this region extends away from the origin. 3.    x≥0: This constraint restricts the feasible region to the right side of or on the y-axis. 4.    y≥0: This constraint restricts the feasible region to the upper side of or on the x-axis. Now, let's consider the intersection of these regions. The first constraint requires that the sum of x and y is less than or equal to 4. The second constraint requires that the sum of x and y is greater than or equal to 6. It is impossible for both x+y≤4 and x+y≥6 to be simultaneously satisfied. There are no values of x and y that can meet both conditions at the same time. Therefore, there is no region in the xy-plane that satisfies all the given constraints simultaneously. Thus, the feasible region is empty.
Which part of the body is affected by tuberculosis (TB)?
Which gas is used in the process of photosynthesis?
One mole of any gas at standard temperature and pressure contains a volume of________?
A liquid rises in a capillary tube due to:
The kidneys in human beings are a part of the system for
A battery of emf 12 V and internal resistance 4 ohm is connected to a resistor. If the current in the circuit is 0.6 A, what is the resistance of the re...
Which gas is most abundant in the Earth’s atmosphere?
Onions, broccoli, fresh fruits, milk, eggs, and iodized salt are good sources of _________.
The phenomenon due to which the sky appears blue is
The energy of a photon is proportional to: