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+16-400, 20≤ p ≤ 100. Complete parts (A) and (B). (A) Find Supply/Demand 800- 700- x X=1000-62p+16 600- 500- 400- 300- 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 bicycle helmets per dollar. 200- 100- x=78-p-16-400 P is 20 40 60 80 100 120 Price (Dollars)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter44: Solution Of Equations By The Subtraction, Addition, And Division Principles Of Equality
Section: Chapter Questions
Problem 108A: The feed of a drill is the depth of material that the drill penetrates in one revolution. The total...
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=78√√p+16-400, 20≤ p ≤ 100. Complete parts (A)
and (B).
(A) Find
Supply/Demand
800-
700-
x
X=1000-62p+16
600-
500-
400-
300-
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
bicycle helmets per dollar.
200-
100-
x=78-p-16-400
P
is
20
40 60 80 100 120
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=78√√p+16-400, 20≤ p ≤ 100. Complete parts (A) and (B). (A) Find Supply/Demand 800- 700- x X=1000-62p+16 600- 500- 400- 300- 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 bicycle helmets per dollar. 200- 100- x=78-p-16-400 P is 20 40 60 80 100 120 Price (Dollars)
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