The number x of bicycle helmets a retail chain is willing to sell per week at a price of $p is given by x = 80Vp +25 - 350, 20 sps 100. Complete parts (A) and (B). dx (A) Find dp dx 800- dp 700- x = 1000– 55-/p+ 25 (B) Find the supply and the instantaneous rate of change of supply with respect to price when the price is $75. Interpret your results. 600- 500- When the price is $75, the supply is 400- (Type an integer or a decimal.) 300- When the price is $75, the instantaneous rate of change of supply with respect to price is 200- x= 80 p+ 25 - 350 (Type an integer or a decimal.) 100- 0- At a price of $75, the supply is bicycle helmets per week and supply is at a 20 40 100 120 60 Price (Dollars) 80 rate of bicycle helmets per dollar. (Type integers or decimals.) Supply/Demand

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter2: Mathematics For Microeconomics
Section: Chapter Questions
Problem 2.6P
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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 = 80/p + 25 – 350, 20<ps 100. Complete parts (A) and (B).
dx
(A) Find
dp
dx
800-
dp
700-
(B) Find the supply and the instantaneous rate of change of supply with respect to price when
the price is $75. Interpret your results.
x= 1000– 55/p+ 25
600–
500-
When the price is $75, the supply is
400-
(Type an integer or a decimal.)
300-
When the price is $75, the instantaneous rate of change of supply with respect to price is
200-
/지= 80시p+ 25 -350
(Type an integer or a decimal.)
100-
p.
0-
At a price of $75, the supply is
bicycle helmets per week and supply is
at a
20
40
60
80
100 120
rate of bicycle helmets per dollar.
(Type integers or decimals.)
Price (Dollars)
Supply/Demand
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 + 25 – 350, 20<ps 100. Complete parts (A) and (B). dx (A) Find dp dx 800- dp 700- (B) Find the supply and the instantaneous rate of change of supply with respect to price when the price is $75. Interpret your results. x= 1000– 55/p+ 25 600– 500- When the price is $75, the supply is 400- (Type an integer or a decimal.) 300- When the price is $75, the instantaneous rate of change of supply with respect to price is 200- /지= 80시p+ 25 -350 (Type an integer or a decimal.) 100- p. 0- At a price of $75, the supply is bicycle helmets per week and supply is at a 20 40 60 80 100 120 rate of bicycle helmets per dollar. (Type integers or decimals.) Price (Dollars) Supply/Demand
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