Question

In a test of Mathematics, there are two types of questions to be answered-short answered and long answered. The relevant data is given below

Type of questions	Time taken to solve	Mark s	Number of question
Short answered questions	5 minute	3	10
Long answered questions	10 minute	5	14

The total marks is 100. Students can solve all the questions. To secure maximum marks, a student solves x short answered and y long answered questions in three hours, then the linear constraints except $x \geq 0 , y \leq 0 , $ are

• A. $5x + 10y \leq 180 , x \leq 10 , y \leq 14 $
• B. $x + 10y \geq 180 , x \leq 10 , y \leq 14 $
• C. $5x + 10y \geq 180 , x \geq 10 , y \geq 14 $
• D. $5x + 10y \leq 180 , x \geq 10 , y \geq 14 $

Answer 1

Answer: (A)

Obviously $x \leq 10, y \leq 14$ and $5x + 10y \leq 180 $