The number q of roller blades a firm is willing to sell per week at a price of $p is given by q= 60 √p+25 +300 for 20 ≤ p ≤100. 1. Find dq/dp. 2. Find the amount supplied when the price is $56. 3. 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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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 √p+25 +300 for 20 ≤ p ≤100.

1. Find dq/dp.

2. Find the amount supplied when the price is $56.

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

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