Linear Programming Question 34
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 | Marks | Number of questions |
| 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\ge 0,\ y\ge 0 $ , are
Options:
A) $ 5x+10y\le 180 $ , $ x\le 10,\ y\le 14 $
B) $ x+10y\ge 180 $ , $ x\le 10,\ y\le 14 $
C) $ 5x+10y\ge 180 $ , $ x\ge 10,\ y\ge 14 $
D) $ 5x+10y\le 180 $ , $ x\ge 10,\ y\ge 14 $
Show Answer
Answer:
Correct Answer: A
Solution:
Obviously $ x\le 10,y\le 14 $ and $ 5x+10y\le 180 $ .
BETA
