P(x,y) = 83x + 167y -0.16xy –-0.21x² -o.32y² – 11800 dollars when $x is the price of the plain tent and $y is the price of a tent with the team logo. Check: P(40,60) = -332 (a) Write out the system of equations that can be used to find the critical point of P(x,y) . Enter your answers as a comma-separated list. For example: 3x + 4y =7, 2x - y =5 (b) Find the critical point of P(x,y) . Round all values to the nearest cent (2 decimal places). The critical point occurs when plain tents are sold for $ Tents with the team logo are sold for $ . The profit at this point is $ (c) Find the second partial derivatives matrix and the value of the determinant at the critical point of P(x,y). Do NOT round. Determinant:
P(x,y) = 83x + 167y -0.16xy –-0.21x² -o.32y² – 11800 dollars when $x is the price of the plain tent and $y is the price of a tent with the team logo. Check: P(40,60) = -332 (a) Write out the system of equations that can be used to find the critical point of P(x,y) . Enter your answers as a comma-separated list. For example: 3x + 4y =7, 2x - y =5 (b) Find the critical point of P(x,y) . Round all values to the nearest cent (2 decimal places). The critical point occurs when plain tents are sold for $ Tents with the team logo are sold for $ . The profit at this point is $ (c) Find the second partial derivatives matrix and the value of the determinant at the critical point of P(x,y). Do NOT round. Determinant:
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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Transcribed Image Text:Tailgate Essentials sells two types of tailgate tents, one plain tent and one with a team logo. The profit from the sale of these tents is given by
P(x,y) = 83x + 167y -0.16xy -0.21x2 -0.32y2 - 11800 dollars
when $x is the price of the plain tent and $y is the price of a tent with the team logo.
Check: P(40,60) = -332
(a) Write out the system of equations that can be used to find the critical point of P(x,y).
Enter your answers as a comma-separated list. For example: 3x + 4y =7, 2x - y =5
(b) Find the critical point of P(x,y) .
Round all values to the nearest cent (2 decimal places).
The critical point occurs when plain tents are sold for $
Tents with the team logo are sold for $
The profit at this point is $
(c) Find the second partial derivatives matrix and the value of the determinant at the critical point of P(x,y).
Do NOT round.
Determinant:
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