Question

The supply equation for a certain tee shirt is x = 3p2 + 2p where p...

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.

Math   Calculus   
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Answer #1

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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