The number q of roller blades a firm is willing to sell per week at a price of $p is given by q = √p + 25     + 300 for 20 < p  < 100.  (i) Find dq / dp (ii) Find the amount supplied when the price is $56.  (ii) Find the instantaneous rate of change of supply with respect to price when the price is $56.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(2) The number q of roller blades a firm is willing to sell per week at a price of $p is given by q = √p + 25     + 300 for 20 << 100. 

(i) Find dq / dp

(ii) Find the amount supplied when the price is $56. 
(ii) Find the instantaneous rate of change of supply with respect to price when the price is $56.

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