A firm manufactures two products A and B. Each product has to be processed on two machines. First machine can be used up to 15 hrs. and second can…

CA Foundation · Quantitative Aptitude · PYQS · January 2025
A firm manufactures two products A and B. Each product has to be processed on two machines. First machine can be used up to 15 hrs. and second can be used at most 12 hrs. in a day. The product A requires 2 hrs. on machine 1 & 3 hrs. on machine 2. The product B requires 3 hrs. on machine 1 & 1 hour on machine 2. This can be expressed as:
(A) A. 2x 1 + 3x 2 ≤ 15 3x 1 + x 2 ≤ 15
(B) B. 2x 1 + 3x 2 ≤ 15 3x 1 + x 2 ≤ 12
(C) C. 3x 1 + 2x 2 ≤ 15 2x 1 + x 2 ≤ 12
(D) D. 2x 1 + 3x 2 ≤ 12 3x 1 + x 2 ≤ 15

Suggested Answer and Working Notes:

Correct Answer: Option (A)

A. 2x 1 + 3x 2 ≤ 15 3x 1 + x 2 ≤ 15

Topics: Part-A: Business Mathematics

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