ANSWERS - HURDLE 17 : LINEAR EQUATIONS. FIXED COST & VARIABLE COST

Ans 1.Only statement 2 is false.
Statement 1 is true. As the number of students increase the variable cost will be shared by more students so the per head cost will reduce.Statement 2 is false.

For statement 3 and 4 :
Let the fixed amount be X and the variable amount which is to be shared by the students be Y.
so we have x+ y/30= 5900 (i)
and x+ y/45 = 5600 (ii)
solving the above two equation we have (y/30)- (y/45)= 300 or y/90= 300 so Y= 27,000
Putting value of Y in (i) we get X = 5000.

So minimum possible cost will be more than 5000 and maximum cost will be when only 1 student goes to picnic and than he will have to pay 5000 +27,000= 32000. So both statement 3 and 4 are true.
Hence only Statement 2 is false.

Ans 2. Statement 1, 3 and 4 are true.

Statement 1 is true .
Let the fixed amount be X and the variable amount which is to be shared by the students be Y.
so we have x+ y/34= 8,360 (i)
and x+ y/48 = 7,905 (ii)
solving the above two equation we have (y/34)- (y/48)= 455
solving this we get Y= 53,040
Putting value of Y in (i) we get X = 6800.
So cost for 65 students will be 6800 + 53,040/65 = 7,616

Statement 2 is false.

Statement 3 is true is minimum possible cost is more than 6800 and is also more than 6500.

Statement 4 is true as maximum possible cost is 6800 + 53040 = 59,840 which is less than 62,000.

Ans 3. Solving the two equations we get fixed cost as 7,200 and variable cost as 32,760 which is to be distributed among the number of tables manufactured.
So if you manufacture 70 tables you will have to pay 7200 +32760/70 = 7,668.
Hence both the statements are true. So answer is Option 1.

Ans 4. 8,018

Ans 5. 8,580

Ans 6. 13,302

Ans 7. 12,686

Ans 8. 21,334

Ans 9. 21,022

Ans 10. 12,740

Ans 11. 13,324

Ans 12. 9,838

Ans 13. 14,362

Ans 14. 10,376

Ans 15. 14,242

Ans 16. 12,512

Ans 17. 12,446

Ans 18. 13,818

Ans 19. 13,244

Ans 20. M , Ans21. F, Ans22. I, Ans23. J, Ans24. A, Ans25. C