The number x of bicycle helmets a retail chain is willing to sell per week at a price of $p is given by x=79√/p+9-400, 20 ≤p ≤ 100. Complete parts (A) and (B). 800- 700- X x=1000-61p+9 (A) Find dx dp = dx 비용 (B) Find the supply and the instantaneous rate of change of supply with respect to price when the price is $91. Interpret your results.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 77E
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The number x of bicycle helmets a retail chain is willing to sell per week at a price of​ $p is given by

x=79p+9−400​,
20≤p≤100.

Complete parts​ (A) and​ (B).

The number x of bicycle helmets a retail chain is willing to
sell per week at a price of $p is given by
x = 79√√p +9-400, 20 ≤p ≤ 100. Complete parts (A) and
(B).
Supply/Demand
800-
700-
600-
500-
400-
300-
200-
100-
0-
to
X
x= 1000-611√p +9
x=79√p+9-400
20 40
D
60 80 100 120
Price (Dollars)
Ly
C
(A) Find
dx
dp
dx
dp
(B) Find the supply and the instantaneous rate of
change of supply with respect to price when the
price is $91. Interpret your results.
When the price is $91, the supply is
When the price is $91, the instantaneous rate of
change of supply with respect to price is
At a price of $91, the supply is
per week and supply is
bicycle helmets per dollar.
bicycle helmets
at a rate of
Transcribed Image Text:The number x of bicycle helmets a retail chain is willing to sell per week at a price of $p is given by x = 79√√p +9-400, 20 ≤p ≤ 100. Complete parts (A) and (B). Supply/Demand 800- 700- 600- 500- 400- 300- 200- 100- 0- to X x= 1000-611√p +9 x=79√p+9-400 20 40 D 60 80 100 120 Price (Dollars) Ly C (A) Find dx dp dx dp (B) Find the supply and the instantaneous rate of change of supply with respect to price when the price is $91. Interpret your results. When the price is $91, the supply is When the price is $91, the instantaneous rate of change of supply with respect to price is At a price of $91, the supply is per week and supply is bicycle helmets per dollar. bicycle helmets at a rate of
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