The supply equation for a certain tee shirt is
x = 3p2 + 2p
where p dollars is the discount price per tee shirt when 1000x
tee shirts are supplied.
1) Find the average rate of change of the supply per $1 change in
the discount price when the price is increased from $10 to $11.
2) Find the instantaneous rate of change of the supply per $1 change in the discount price when the price is $10.
Answer :
The supply equation for a certain tee shirt is
x = 3p2 + 2p
where p dollars is the discount price per tee shirt when 1000x tee shirts are supplied.
(a) The average rate of change of the supply per $1 change in the discount price when the price is increased from $10 to $11 is
The average rate change of the supply is 65
(b) The instantaneous rate of change of the supply per $1 change in the discount price when the price is $10 is
when p = 10 we have
The instantaneous rate of change of the supply is 62
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