IITM BS Question 55 - Week 9 Practice

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IITM BS Question 55 - Week 9 Practice | Prasnya

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Q55Comprehension2 Marks7 Aug 2022

Passage

The price of a product (

f(x, y)

) depends on the price (

x

) of the raw materials and the price (

y

) of transportation of the product to the market according to

f: \mathbb{R}^2 \to \mathbb{R}

where

f(x, y) = \begin{cases} x^3 - xy^2 & \text{if } x \neq y \\ x + y & \text{otherwise} \end{cases}

Answer the given subquestions using the information above.

What will be the ratio of the price of the raw materials and the price of the transportation (x : y) when y > x, if the rate of change of the price of the product with respect to the price of the raw materials is 0? (In this context x and y both are always positive).

Q55

00:00

7 Aug 2022

Mathematics 2 · Week 9

Q55.What will be the ratio of the price of the raw materials and the price of the transportation (x : y) when y > x, if the rate of change of the price of the product with respect to the price of the raw materials is 0? (In this context x and y both are always positive).@passage

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