Question

The minimum cost of each tablet is Rs 10 and each capsule is Rs 10 . If the cost of 8 tablets and 5 capsules is not less than \(\mathrm{Rs} 150\), frame the inequations for the given data. (1) \(x \geq 10, y \geq 10,8 x+5 y \geq 150\) (2) \(x \geq 10, y \geq 10,8 x+5 y \leq 150\) (3) \(x \leq 10, y \leq 10,8 x+5 y \geq 150\) (4) \(x \leq 10, y \leq 10,8 x+5 y \leq 150\)

Short answer

Question: Formulate the inequalities for the given information: The minimum cost of each tablet (x) is Rs 10, the minimum cost of each capsule (y) is Rs 10, and the cost of 8 tablets and 5 capsules is not less than Rs 150. Answer: The inequalities for the given information are: \(x \geq 10, y \geq 10, 8x + 5y \geq 150\).

Step-by-step solution

Minimum cost of tablets and capsules

Given the minimum cost of each tablet and each capsule is Rs 10. As x represents cost of tablets and y represents the cost of capsules, we have: \(x \geq 10\) \(y \geq 10\)

Cost of 8 tablets and 5 capsules

It's given that the cost of 8 tablets and 5 capsules is not less than Rs 150. So, the inequality will be: \(8x + 5y \geq 150\) Combining these inequalities gives the correct answer: (1) \(x \geq 10, y \geq 10, 8x + 5y \geq 150\)