11th Standard Syllabus & Materials
11th Standard
Tamilnadu 11th Standard Tamil மொழி கலை -செய்யுள் - ஒவ்வொரு புல்லையும் Important Questions And Answers Study Material - QB365
NEW11th Standard
Tamilnadu 11th Standard Tamil கேடில் விழுச்செல்வம் - உரைநடை - தமிழகக் கல்வி வரலாறு Important Questions And Answers Study Material - QB365
NEW11th Standard
Tamilnadu 11th Standard Tamil பீடு பெற நில் - இலக்கணம் - பகுபத உறுப்புகள் Important Questions And Answers Study Material - QB365
NEW11th Standard
Tamilnadu 11th Standard Tamil பீடு பெற நில் - செய்யுள் - குறுந்தொகை Important Questions And Answers Study Material - QB365 Set B
NEW11th Standard
Tamilnadu 11th Standard Tamil பீடு பெற நில் - செய்யுள் - குறுந்தொகை Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
Tamilnadu 11th Standard Tamil பீடு பெற நில் - செய்யுள் - காவடிச்சிந்து Important Questions And Answers Study Material - QB365 Set B
Published on: 13/05/2022
QB365 provides detailed and simple solution for every Book back Questions in class 11 Business Maths Subject. It will helps to get more idea about question pattern in every book back questions with solution.
latest Book back QuestionsDownload Tamil Nadu 11th Standard Business Maths and Statistics question papers, model tests, one-mark questions, important questions, and public exam papers in PDF format. Free study materials and answer keys for TN State Board students.
Questions + Answers key
Take MCQ Business Maths and Statistics Test
1.
Find the equilibrium price and equilibrium quantity for the following functions. Demand: x = 100 – 2p and supply: x = 3p – 50
2.
Find the stationary values and stationary points for the function f(x) = 2x3 + 9x2 + 12x + 1
3.
For a particular process, the cost function is given by C = 56 - 8x+x2 where C is cost per unit and x, the number of unit’s produced. Find the minimum value of the cost and the corresponding number of units to be produced.
4.
A company has to supply 1000 item per month at a uniform rate and for each time, a production run is started with the cost of Rs. 200. Cost of holding is Rs. 20 per item per month. The number of items to be produced per run has to be ascertained. Determine the total of setup cost and average inventory cost if the run size is 500, 600, 700, 800. Find the optimal production run size using EOQ formula.
5.
1.
At equilibrium, demand = Supply
\(\Rightarrow\) 100 - 2p = 3p - 50
\(\Rightarrow\) 150 = 5p
\(\Rightarrow\) p = 30
Equilibrium price is PE = 30
x = 100 - 2p
= 100 - 60 = 40
x = 40
\(\therefore\) Equilibrium quantity is xE = 40 units.
2.
Given that f(x) = 2x3 + 9x2 + 12x + 1.
f'(x) = 6x2 + 18x + 12
= 6(x2 + 3x + 2)
= 6(x + 2)(x + 1)
f'(x) = 0 \(\Rightarrow\) 6 (x + 2)(x + 1) = 0
\(\Rightarrow\) x + 2 = 0 (or) x + 1 = 0.
x = –2 (or) x = –1
f(x) has stationary points at x = – 2 and x = – 1
Stationary values are obtained by putting x = – 2 and x = – 1
When x = – 2, f(–2) = 2(–8) +9(4) + 12(–2) + 1 = –3
When x = – 1, f(–1) = 2(–1) + 9(1) + 12(–1) + 1 = –4
The stationary points are (–2, –3) and (–1,–4).
3.
C = 56 - 8x + x2
Differentiate with respect to x,
\(\frac { dc }{ dx } \) = -8+2x and \(\frac { { d }^{ 2 }x }{ { dx }^{ 2 } } =2\)
\(\frac { dc }{ dx } \) = 0 \(\Rightarrow\) -8 + 2x=0 \(\Rightarrow\) x = 4
When x = 4, \(\frac { { d }^{ 2 }x }{ { dx }^{ 2 } } =2>0\)
\(\therefore\) C is minimum when x = 4.
The minimum value of cost = 56 – 32 +16 = 40
The corresponding number of units produced = 4.
4.
Demand : R = 1000 per month
Setup cost : C3 = Rs.200 per order
Carrying cost: C1= Rs. 20 per item per month
| Run size q | Set up cost \(\frac { q }{ q } \times { C }_{ 3 }\) | Carrying cost \(\frac { q }{ 2 } \times { C }_{ 1 }\) | Total cost (Set up cost + Carrying cost) |
|---|---|---|---|
| 500 | \(\frac { 1000 }{ 500 } \times 200=400\) | \(\frac { 500 }{ 2 } \times 20=5000\) | 5400 |
| 600 | \(\frac { 1000 }{ 600 } \times 200=333.3\) | \(\frac { 600 }{ 2 } \times20= 6000\) | 6333.3 |
| 700 | \(\frac { 1000 }{ 700 } \times 200=285.7\) | \(\frac { 700 }{ 20 } \times20= 7000\) | 7285.7 |
| 800 | \(\frac { 1000 }{ 800 } \times 200=250\) | \(\frac { 800 }{ 2 } \times20= 8000\) | 8250 |
EOQ = \(\sqrt { \frac { 2{ RC }_{ 3 } }{ { C }_{ 1 } } } =\sqrt { \frac { 2\times 1000\times 200 }{ 20 } } \)
= \(\sqrt { 20000 } \) = 141 units (app)
5.
11th Standard Syllabus & Materials
11th Standard
Tamilnadu 11th Standard Tamil பீடு பெற நில் - செய்யுள் - காவடிச்சிந்து Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
Tamilnadu 11th Standard Tamil பீடு பெற நில் - உரைநடை - மலை இடப்பெயர்கள் : ஓர் ஆய்வு Important Questions And Answers Study Material - QB365 Set B
NEW11th Standard
Tamilnadu 11th Standard Tamil பீடு பெற நில் - உரைநடை - மலை இடப்பெயர்கள் : ஓர் ஆய்வு Important Questions And Answers Study Material - QB365 Set A
NEW11th Standard
Tamilnadu 11th Standard Tamil மாமழை போற்றுதும் - செய்யுள் - ஐங்குறுநூறு Important Questions And Answers Study Material - QB365 Set B
Tamilnadu Stateboard 11th Standard Subjects
Maths
Commerce
Economics
Biology
Business Maths and Statistics
Accountancy
Computer Science
Physics
Chemistry
Maths
Biology
Economics
Physics
Chemistry
History
Business Maths and Statistics
Computer Science
Accountancy
Computer Applications
History
Computer Technology
Commerce
Computer Applications
Computer Technology
Tamil
English
French
Tamilnadu Stateboard Standards
