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3. A firm is sole producer of good x and good y, with the demand equations for X and Y given by x = 200 - Px and y = 100-py where x and y are the quantities of X and Y demanded respectively, and pr and py are their respective prices. The joint cost function of the firm is TC = 2x² + y²+2xy + 25. Determine the quantities of x and y to maximise profits along with their respective prices. Px 4. Suppose F(x, y) = x²y+2y24. Let x(t)=3+2+1 and y(t) = t³ - 7. The function F is 5 defined as F(t) = f[x(t), y(t)]. Compute F'(1) using an appropriate method. Page 1 of 2 8 ] REDMI NOTE 9 S.FRANCIS-KEIL 88

3. A firm is sole producer of good x and good y, with the demand equations for X and Y given by x = 200 - Px and y = 100-py where x and y are the quantities of X and Y demanded respectively, and pr and py are their respective prices. The joint cost function of the firm is TC = 2x² + y²+2xy + 25. Determine the quantities of x and y to maximise profits along with their respective prices. Px 4. Suppose F(x, y) = x²y+2y24. Let x(t)=3+2+1 and y(t) = t³ - 7. The function F is 5 defined as F(t) = f[x(t), y(t)]. Compute F'(1) using an appropriate method. Page 1 of 2 8 ] REDMI NOTE 9 S.FRANCIS-KEIL 88

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. A firm is sole producer of good x and good y, with the demand equations for X and Y given by x = 200 - Px and y = 100-py where x and y are the quantities of X and Y demanded respectively, and pr and py are their respective prices. The joint cost function of the firm is TC = 2x² + y²+2xy + 25. Determine the quantities of x and y to maximise profits along with their respective prices. Px 4. Suppose F(x, y) = x²y+2y24. Let x(t)=3+2+1 and y(t) = t³ - 7. The function F is 5 defined as F(t) = f[x(t), y(t)]. Compute F'(1) using an appropriate method. Page 1 of 2 8 ] REDMI NOTE 9 S.FRANCIS-KEIL 88
Transcribed Image Text:3. A firm is sole producer of good x and good y, with the demand equations for X and Y given by x = 200 - Px and y = 100-py where x and y are the quantities of X and Y demanded respectively, and pr and py are their respective prices. The joint cost function of the firm is TC = 2x² + y²+2xy + 25. Determine the quantities of x and y to maximise profits along with their respective prices. Px 4. Suppose F(x, y) = x²y+2y24. Let x(t)=3+2+1 and y(t) = t³ - 7. The function F is 5 defined as F(t) = f[x(t), y(t)]. Compute F'(1) using an appropriate method. Page 1 of 2 8 ] REDMI NOTE 9 S.FRANCIS-KEIL 88
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