he number q of roller blades a firm is willing to sell per week at a price of $p is given by q =60 square root p + 25 + 300 for 20< p < 100. (i) find the dq/dp (ii) Find the amount supplied when the price is $56. (iii) Find the instantaneous rate of change of supply with respect to price when the price is $56.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The number q of roller blades a firm is willing to sell per week at a price of $p is given by q =60 square root p + 25 + 300 for 20< p < 100.

(i) find the dq/dp

(ii) Find the amount supplied when the price is $56.

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

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