Constraints: 3x+4y≤60, x+3y≤30, x,y≥0. Corner points: (0,0),(20,0),(12,6),(0,10) where (12,6) is the intersection of the two boundary lines. Z values: 0, 16000, 16800, 12000. Maximum at (12,6).
A manufacturing company makes two models M_1 and M_2 of a product. Each piece of M_1 requires 9 labour hours for fabricating and one labour hour for…
CUET UG 2023 — Mathematics Algebra
2023mcqmedium
A manufacturing company makes two models M1 and M2 of a product. Each piece of M1 requires 9 labour hours for fabricating and one labour hour for finishing. Each piece of M2 require 12 labour hours for fabricating and 3 labour hours for finishing. For fabricating and finishing, the maximum labour hours available are 180 and 30 respectively. The company makes a profit of Rs.800 on each piece of M1 and Rs.1200 on each piece of M2
The maximum profit will be at the point
Official previous-year question
Held on 23 May 2023 · Verified 13 Jul 2026.
Options
- A
(0, 10)
- B
(20, 0)
- C
(12, 6)
- D
(0, 0)
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