question_answer

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

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)                 \[5x+10y\le 180\], \[x\ge 10,\ y\ge 14\]