(100,123.72) (100,123.72) dF dT (100,123.72) dT dF (100,123.72)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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) = 79T + 158F -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) = 1880
The P = $10,000 contour curve has been sketched for 75 <TS 200 and 110 SFS 140 and a tangent line has been constructed at the point
(100,123.72) .
125
75
100
125
150
175
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) = 79T + 158F -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) = 1880 The P = $10,000 contour curve has been sketched for 75 <TS 200 and 110 SFS 140 and a tangent line has been constructed at the point (100,123.72) . 125 75 100 125 150 175 200
(a) Calculate each of the following. Round your answers to 3 decimal places.
ap
=
(100,123.72)
(100,123.72)
dF
dT
(100,123.72)
dT
%3D
dF
|(100,123.72)
(b) Which of the following derivative values gives the slope of the tangent line pictured above?
|(100,123.72)
dT
dF
(100,123.72)
ap
ƏF
(100,123.72)
dF
dT
(100,123.72)
Transcribed Image Text:(a) Calculate each of the following. Round your answers to 3 decimal places. ap = (100,123.72) (100,123.72) dF dT (100,123.72) dT %3D dF |(100,123.72) (b) Which of the following derivative values gives the slope of the tangent line pictured above? |(100,123.72) dT dF (100,123.72) ap ƏF (100,123.72) dF dT (100,123.72)
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