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P(T,F) = 82T + 162F -0.15TF -0.272 -0.3F2 - 9000 dollars

P(T,F) = 82T + 162F -0.15TF -0.272 -0.3F2 - 9000 dollars

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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A manufacturer of pop-up tents makes 2-person tents and 4-person tents. The profit from the sale of these tents is given by P(T,F) = 82T + 162F -0.15TF -0.27² -0.3F² - 9000 dollars when $T is the price of the two-person tent and $F is the price of 4-person tent. Check: P(40,60) = 2240 The P = $10,000 contour curve has been sketched for 75 ≤ T ≤ 200 and 90 ≤ F≤ 130 and a tangent line has been constructed at the point (100,113.25). F 125 100 ƏP ƏF dF dT 175 dT dF 100 (100,113.25) (a) Calculate each of the following. Round your answers to 3 decimal places. ap ƏT (100,113.25) (100,113.25) (100,113.25) = = 125 = 150 175 - T 200
Transcribed Image Text:A manufacturer of pop-up tents makes 2-person tents and 4-person tents. The profit from the sale of these tents is given by P(T,F) = 82T + 162F -0.15TF -0.27² -0.3F² - 9000 dollars when $T is the price of the two-person tent and $F is the price of 4-person tent. Check: P(40,60) = 2240 The P = $10,000 contour curve has been sketched for 75 ≤ T ≤ 200 and 90 ≤ F≤ 130 and a tangent line has been constructed at the point (100,113.25). F 125 100 ƏP ƏF dF dT 175 dT dF 100 (100,113.25) (a) Calculate each of the following. Round your answers to 3 decimal places. ap ƏT (100,113.25) (100,113.25) (100,113.25) = = 125 = 150 175 - T 200
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