Quantitative analysis of budgeting

1

100

What is the learning curve formula?

Y=ax^b

200

+200

+200

300

If workers frequently leave the company, what happens to the learning curve? 

Agar learning curve mavjud bo‘lsa, lekin kompaniyada ishchilar tez-tez almashsa (labour turnover), nima bo‘ladi?

Learning effect weakens or disappears due to loss of experience

Tajriba yo'qolishi tufayli o'rganish effekti zaiflashadi yoki yo'qoladi

400

• a = 100
• learning rate = 80% → b = –0.322
• x = 2

👉 Y =?

Y=100×2−0.322

👉 2^{-0.322} ≈ 0.8

Y=100×0.8=80

500

Why is regression not always reliable despite being accurate?

Nega regressiya modeli har doim ham ishonchli emas?

It depends on past data

Chunki faqat tarixiy ma’lumotga tayanadi

2

100

What is the regression formula?

 Regression formulasi qanday

Y = a + bX

200

Why are material costs usually unaffected in learning curve?

Nima uchun xomashyo tannarxi odatda o‘zgarmaydi?

Learning affects time, not material cost

Ishchilar tezligi material tannarxiga ta’sir qilmaydi  

300

Why is the high-low method fast but inaccurate? 

Nega high-low method tez, lekin aniqligi pastroq?

It uses only two data points

Faqat 2 ta nuqtadan foydalanadi

400

• a = 120
• learning rate = 75% → b ≈ –0.415
• x = 4

👉 Y=?

• Y=120×4^−0.415
  4^−0.415 =0.5625
• 
  
• Y=120×0.5625=67.5
• 
  

500

Which method is most dangerous with poor data?

Agar ma’lumotlar noto‘g‘ri bo‘lsa, qaysi usul eng xavfli?

Regression (ko‘p ma’lumot noto‘g‘ri bo‘ladi)

3

100

In Y = a + bX, what does “a” represent? 

Y = a + bX formulada “a” nimani bildiradi?

Fixed cost

200

When does learning stop? 

Learning curve qachon to‘xtaydi?

When maximum efficiency is reached 

Tajriba maksimalga yetganda

300

If production technology changes, what happens to the learning curve?

Agar ishlab chiqarish jarayonida yangi texnologiya joriy qilinsa, learning curve nima bo‘ladi?

A new learning curve begins

Yangi o'rganish chizig'i boshlanadi (oldingi tajriba bekor bo‘ladi)

400

• a = 150
• learning rate = 70% → b ≈ –0.515
• x = 8

👉 Y=?

Y=150×8^−0.515

8^−0.515=0.343 

Y=150×0.343=51.45  

500

Main problem of forecasting? 

Forecastingning asosiy muammosi nima?

Uncertainty  

4

100

If b = 0, what happens?

Agar b = 0 bo‘lsa, nima bo‘ladi?

No learning (Y = a)

200

Which cost is most affected by learning curve? 

Qaysi xarajat o'rganish egri chizig'idan eng ko‘p ta’sir ko'radi?

Direct labour

300

What happens after a long production break? 

Agar ishlab chiqarish to‘xtab, 6 oy tanaffus bo‘lsa, keyingi ishlab chiqarishda nima bo‘ladi?

Learning effect resets (workers forget)

Learning qaytadan boshlanadi (ishchilar tajribasi esidan chiqib qoladi)

400

• a = 180
• learning rate = 75% → b ≈ –0.415
• x = 8

👉 Y

Y=150 x 8^-0.415=150x0.42=63.28

500

When is learning curve analysis more effective? 

Learning curve qaysi holatda tezroq ishlaydi?

Labour-intensive work 

Qo‘l mehnati ko‘p bo‘lsa