Teaching UGC NET Mock Test Series 2025 (Paper 1 & 2) Mathematical Science LPP, Simplex Methods, Duality
Comprehension Passage
Answer the following 5 questions based on the passage.
A firm can produce two type of cloth say A and B. Three kind of wool are required for it, say red wool, green wool and blue wool. One unit length of type A cloth needs 2 yards of red and 3 yards of green wool. One unit length of type B cloth needs 3 yards of red wool, 2 yards of green wool and 2 yards blue wool. The firm has only a stock of 8 yards of red wool, 10 yards of green wool and 15 yards of blue wool. It is assumed that the income obtained from one unit length of type A and type B cloths are Rs. 30 and Rs. 50, respectively.
If x unit length of type A cloths and y unit length of type B cloths, then contrains formulate for the LPP, is :
1
y ≤ 7.5, 2x + 3 y ≤ 8, 3y + 2x ≤ 10
2
y ≤ 7.5, 2x + 3y ≤ 8, 3x + 2y ≤ 10
3
2x + 3y ≤ 8, 3x + 2y + 2z < 15
4
2x + 3y ≤ 10, 3x + 2y ≤ 10, 2y ≤ 15