A firm makes two types of products: Type A and Type B. The profit on product A is ₹ 20 each and that on product B is ₹ 30 each. Both types are…

CA Foundation · Quantitative Aptitude · MTP · June 2024
A firm makes two types of products: Type A and Type B. The profit on product A is ₹ 20 each and that on product B is ₹ 30 each. Both types are processed on three machines M1, M2 and M3. The time required in hours by each product and total time available in hours per week on each machine are as follows: Machine Products A Products B Available Time M1 3 3 36 M2 5 2 50 M3 2 6 60 The constraints can be formulated takings x 1 = number of units A and x 2 = number of unit of B as:
(A) A. x 1 + x 2 ≤ 22 5x 1 + 2x 2 ≤ 50 2x 1 + 6x 2 ≤ 60 x 1 ≥ 0, x 2 ≥ 0
(B) B. 3x 1 + 3x 2 ≥ 36 5x 1 + 2x 2 ≤ 50 2x 1 + 6x 2 ≥ 60 x 1 ≥ 0, x 2 ≥ 0
(C) C. 3x 1 + 3x 2 ≤ 36 5x 1 + 2x 2 ≤ 50 2x 1 + 6x 2 ≤ 60 x 1 ≥ 0, x 2 ≥ 0
(D) D. None of these

Suggested Answer and Working Notes:

Correct Answer: Option (C)

C. 3x 1 + 3x 2 ≤ 36 5x 1 + 2x 2 ≤ 50 2x 1 + 6x 2 ≤ 60 x 1 ≥ 0, x 2 ≥ 0

Topics: Part-A: Business Mathematics

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