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Tamil Nadu Board of Secondary EducationHSC Science Class 12

A from produces two types of calculates each week, x number of type A and y number of type B. The weekly revenue and cost functions = (in rupees) are R(x, y) = 80x + 90y + 0.04xy – 0.05x2

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Question

A from produces two types of calculates each week, x number of type A and y number of type B. The weekly revenue and cost functions = (in rupees) are R(x, y) = 80x + 90y + 0.04xy – 0.05x2 – 0.05y2 and C(x, y) = 8x + 6y + 2000 respectively. Find `(del"P")/(delx)` (1200, 1800) and `(del"P")/(dely)` (1200, 1800) and interpret these results

Sum
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Solution

`(del"P")/(delx)` = 72 + 0.04y – 0.1x

`(del"P")/(delx)` (1200, 1800) = 72 + 0.04 × 1800 – 0.1 × 1200

= 72 + 72 – 120

= 144 – 120

= 24

`(del"P")/(dely)` = 84 + 0.04x – 0.1y

`(del"P")/(dely)` (1200, 1800) = 84 + 0.04 × 1200 – 0.1 × 1800

= 84 + 48 – 180

= 132 – 180

= – 48

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Partial Derivatives
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Chapter 8: Differentials and Partial Derivatives - Exercise 8.4 [Page 80]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 12 TN Board
Chapter 8 Differentials and Partial Derivatives
Exercise 8.4 | Q 10. (ii) | Page 80

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