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) = 78T + 162F −0.15TF −0.2T2 −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) = 2080 The P = $10,000 contour curve has been sketched for 75 ≤ T ≤ 200 and 100 ≤ F ≤ 140 and a tangent line has been constructed at the point (100,118.41) .
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) = 78T + 162F −0.15TF −0.2T2 −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) = 2080 The P = $10,000 contour curve has been sketched for 75 ≤ T ≤ 200 and 100 ≤ F ≤ 140 and a tangent line has been constructed at the point (100,118.41) .
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter23: Basic Calculations Of Percentages, Percents, And Rates
Section: Chapter Questions
Problem 14A
Related questions
Question
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) = 78T + 162F −0.15TF −0.2T2 −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) = 2080
The P = $10,000 contour curve has been sketched for
75 ≤ T ≤ 200
and
100 ≤ F ≤ 140
and a tangent line has been constructed at the point
(100,118.41)
.![(a) Calculate each of the following. Round your answers to 3 decimal places.
ӘP
ат
ӘP
위
dF
dT
dT
dF
(100,118.41)
(100,118.41)
(100,118.41)
(100,118.41)
= 20.2385
= 75.954
=
=
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c38f684-b3dd-4082-bdac-25ef1adf32da%2F4924dfb6-468c-4438-9a4e-ea4dcaa742d4%2Fri9kuo_processed.png&w=3840&q=75)
Transcribed Image Text:(a) Calculate each of the following. Round your answers to 3 decimal places.
ӘP
ат
ӘP
위
dF
dT
dT
dF
(100,118.41)
(100,118.41)
(100,118.41)
(100,118.41)
= 20.2385
= 75.954
=
=
X
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