# Total Quality Management Questions and Answers – Problem Solving Tools – Taguchi Loss Function

This set of Total Quality Management Multiple Choice Questions & Answers (MCQs) focuses on “Problem Solving Tools – Taguchi Loss Function ”.

1. Taguchi methods aim at improving the quality of manufactured goods.
a) True
b) False

Explanation: Taguchi methods aim at improving the quality of manufactured goods. They are statistical methods developed majorly by Genichi Taguchi.

2. The quality loss function is given by L(x) = k(x-N)2. What does ‘k’ stand for?
a) Tolerance
b) Quality loss coefficient
c) Nominal value of given product
d) Quality characteristic of selected product

Explanation: The constant of proportionality ‘k’ is also known as quality loss coefficient. The quality loss function is a quadratic equation given by Taguchi.

3. Which among the following is the correct formula for evaluating the quality loss coefficient ‘k’?
a) k=c+d
b) k=c/d
c) k=c/d2
d) k=c-d

Explanation: k=c/d2 represents the correct formula for evaluating the quality loss coefficient ‘k’. Here, c=loss associated with the specification limit and d=deviation of the specification from the targeted value.

4. If the specifications of a product are 10±3 for a particular quality characteristic and the average repair cost is ₹200, what is the value of the quality loss coefficient?
a) 20.23
b) 22.23
c) 24.23
d) 26.23

Explanation: Here, d=3, and c=₹200. So, putting the respective values of ‘d’ and ‘c’ in the formula k=c/d2 we get k = 22.23. Here, k=quality loss coefficient, c=loss associated with the specification limit and d=deviation of the specification from the targeted value.

5. In the case of smaller-the-better characteristics, what is the value of ideal target (N)?
a) 0
b) 50
c) 100
d) 200

Explanation: In the case of smaller-the-better characteristics, the value of ideal target (N) is 0. It is a special case often used in manufacturing of products.

6. The quality loss function is given by L(x) = k(x-N)2. What does ‘N’ stand for?
a) Tolerance
b) Quality loss coefficient
c) Nominal value of given product
d) Quality characteristic of selected product

Explanation: In the quality loss function, ‘N’ represents the nominal value of given product. For example, if the specification of a product is 10±3 mm then 10 mm is the nominal value of the given product.

7. Traditional approach focuses on specification limits and Taguchi’s approach focuses on target value.
a) True
b) False

Explanation: Traditional approach focuses on specification limits and Taguchi’s approach focuses on target value. In traditional approach, a product falling within the given specification limits is considered as a good product. In Taguchi’s approach, a product deviating from the target value will incur loss.

8. Which parameter represents the slope of quality loss function?
a) Tolerance
b) Quality loss coefficient
c) Nominal value of given product
d) Quality characteristic of selected product

Explanation: The quality loss function is given by L(x) = k(x-N)2. The slope of quality loss function is given by quality loss coefficient. It can be determined by the relation k=c/d2.

9. Which among the following does not fit into the category of loss described by Taguchi?
a) Failure to function
b) Maintenance and repair cost
c) Customer dissatisfaction
d) Employee lay-off

Explanation: Failure to function, maintenance and repair cost, customer dissatisfaction are the various types of loss described by Taguchi. According to Taguchi, quality is “the loss imparted by the product to the society from the time product is shipped”.

10. If tolerance is ±0.25 mm and the quality loss coefficient is 2520, then which of the following represents the quality loss function?
a) L=2520*(0.25)2
b) L=2520*0.25
c) L=2520/0.25
d) L=2520-0.25

Explanation: If tolerance is ±0.25 mm and the quality loss coefficient is 2520, then the quality loss function is represented by L=2520*(0.25)2. It is a quadratic relation.

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