Linear InequalitiesMCQMTP June 24 Series IIQuestion 6554 of 40
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A small manufacturing firm produces two types of gadgets A and B, which are first processed in the foundry then sent to the machine shop for finishing. The number of man-hours of labour required in each shop for the production of each unit of A and B, and the number of man-hours the firm has available per week are as follows:GadgetFoundryMachine-shopA105B64Weekly capacity1000600Let the firm manufactures x units of A and y units of B. The constraints are:

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option A — $10x + 6y \le 1000, 5x + 4y \le 600, x \ge 0, y \ge 0$

All Options:

  • A$10x + 6y \le 1000, 5x + 4y \le 600, x \ge 0, y \ge 0$ ✓
  • B$10x + 6y \ge 1000, 5x + 4y \ge 600, x \ge 0, y \ge 0$
  • C$10x + 6y \ge 1000, 5x + 4y \le 600, x \ge 0, y \le 0$
  • D$10x + 6y \le 1000, 5x + 4y \ge 600, x \le 0, y \le 0$

Detailed Solution & Explanation

MTP June 24 Series II

About This Chapter: Linear Inequalities

Paper

Paper 3: Quantitative Aptitude

Weightage

1-3 Marks

Key Topics

Linear Inequalities in one & two variables

This chapter covers Linear Inequalities in one & two variables and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

View Official ICAI Syllabus

Exam Strategy Tip

This topic carries 1-3 Marks weightage. Focus on understanding core concepts rather than memorizing.

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