D 10673 (Pages : 3) வி... ௮ ಸ...

FIFTH SEMESTER U.G. DEGREE EXAMINATION, NOVEMBER 2021
(CBCSS—UG)
Mathematics
MTS 5D 03—LINEAR MATHEMATICAL MODELS
(2019 Admissions)
Time : Two Hours Maximum : 60 Marks
Section A

Answer at least eight questions.
Each question carries 3 marks.
All questions can be attended.

Overall Ceiling 24.

Does the line y = —x + 5 intersect the point (3, -1) ? Why ?
Let g (x) = -4x + k where & is a constant. If g (3) = 5, find the value of k.
Solve the system of equations 3x + y = 5, 3x =6.

‎हल आल‏ قن لي

‎Write the augmented matrix for the system of equations 3x + y = 6, 2x + 5y = 15.

‎3 4 3 2)
5. Find values of x, y if _ മല]; 2

‎1 2| |-1 5
6. Find the product of matrices : 34 ல்‌ 0 3!

‎7. Graph the linear inequality x < 3y.
8. Define the term corner point. State the corner point theorem.
Give an example for a maximization problem in standard form with 2 variables.
10. Sketch the feasible region for the linear programming problem :
Maximize Z = 2x + 3y subject tox > 0,y > 0.

‎11. What are the conditions to be satisfied to call a linear programming problem to be in standard
minimum form ?

‎Turn over

‎18595