The number x of bicycle helmets a retail chain is willing to sell per week at a price of $p is given by x=80√√p+9-350, 20 ≤ p ≤ 100. Complete parts (A) and (B). Supply/Demand 800- x=1000-55p9 700- 600- 500- 400- 300- 200- 100- X=80p 9-350 0 20 40 60 G dx (A) Find 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 is 80 100 120 at a rate of bicycle helmets per week and supply bicycle helmets per dollar. Price (Dollars)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 79E
Question
The number x of bicycle helmets a retail chain is willing to sell per week at a
price of $p is given by x=80√√p+9-350, 20 ≤ p ≤ 100. Complete parts (A)
and (B).
Supply/Demand
800-
x=1000-55p9
700-
600-
500-
400-
300-
200-
100-
X=80p 9-350
0
20
40
60
G
dx
(A) Find
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
is
80 100 120
at a rate of
bicycle helmets per week and supply
bicycle helmets per dollar.
Price (Dollars)
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=80√√p+9-350, 20 ≤ p ≤ 100. Complete parts (A) and (B). Supply/Demand 800- x=1000-55p9 700- 600- 500- 400- 300- 200- 100- X=80p 9-350 0 20 40 60 G dx (A) Find 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 is 80 100 120 at a rate of bicycle helmets per week and supply bicycle helmets per dollar. Price (Dollars)
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell