Subject: Mathematics
Book: Maths Mastery
Many real-world constraints call for multiple inequalities, like “Work hours ≤ 40, wage/hour ≥ ₹100, and total weekly pay ≥ ₹3,500.” Represent each constraint as an inequality, then find the feasible region if you have two or more variables. For instance, x≥100, y≤40, and xy≥3,500 in some context. Graphing or systematically analyzing these inequalities reveals possible solutions. Industrial engineering, resource allocation, or scheduling tasks rely heavily on systems of inequalities for optimization. Mastering them fosters an ability to handle advanced planning with multiple constraints or objectives.
The LCM of 12 and 15 is:
View QuestionIf the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?
View QuestionIf a+b = 10 and ab = 21, what is the value of a^3 + b^3?
View QuestionHow many diagonals does a pentagon have?
View QuestionThe ratio of two numbers is 3:5, and their sum is 64. What are the numbers?
View QuestionIf a cone has a base radius of 3 cm and height of 4 cm, what is its slant height?
View QuestionWhat is the cube of 4?
View QuestionIf sin(θ) = 0.6 and θ is acute, what is cos(θ)?
View QuestionWhat is the 7th term of the arithmetic progression 3, 6, 9, 12,...?
View QuestionWhat is the sum of all angles in a hexagon?
View Question