The number x of bicycle helmets a retail chain is willing to sell per week at a price of $p is given by x = 78√/p+ 16-350, 20 ≤p ≤ 100. Complete parts (A) and (B). Supply/Demand 800- 700- 600- 500- 400- 300- 200- 100- 0+ 0 X x-1000-57p+16 20 x=781p+ 16-350 P +> 40 60 80 100 120 Price (Dollars) Q G (A) Find dx dp dx (B) Find the supply and the instantaneous rate of change of supply with respect to price when the price is $84. Interpret your results. When the price is $84, the supply is When the price is $84, the instantaneous rate of change of supply with respect to price is At a price of $84, the supply is bicycle helmets per week and supply is at a rate of bicycle helmets per dollar. increasing decreasing
The number x of bicycle helmets a retail chain is willing to sell per week at a price of $p is given by x = 78√/p+ 16-350, 20 ≤p ≤ 100. Complete parts (A) and (B). Supply/Demand 800- 700- 600- 500- 400- 300- 200- 100- 0+ 0 X x-1000-57p+16 20 x=781p+ 16-350 P +> 40 60 80 100 120 Price (Dollars) Q G (A) Find dx dp dx (B) Find the supply and the instantaneous rate of change of supply with respect to price when the price is $84. Interpret your results. When the price is $84, the supply is When the price is $84, the instantaneous rate of change of supply with respect to price is At a price of $84, the supply is bicycle helmets per week and supply is at a rate of bicycle helmets per dollar. increasing decreasing
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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Subject: algebra
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 = 78√/p+ 16-350, 20 ≤p≤ 100. Complete parts (A) and (B).
Supply/Demand
800-
700-
600-
500-
400-
300-
200-
100-
0-
to
X
x-1000-57p+16
x=78p+16-350
P
20 40 60 80 100 120
Price (Dollars)
Q
Q
(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 $84. Interpret your results.
When the price is $84, the supply is
When the price is $84, the instantaneous rate of change of supply with respect to price is
At a price of $84, the supply is
at a rate of
bicycle helmets per week and supply is
bicycle helmets per dollar.
increasing
decreasing
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