If pq+5q=q=95  IS DEMAND CURVE P IS PRICE AND Q IS QUANTITY .DERVIVE AN EXPRESSION FOR THE RATE OF CHANGE IN THE PRICE WITH RESPECT TO QUANTITY.

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The demand curve is given by pq + 5q = q - 95 where p is the price and q is the quantity. The rate of change in price with respect to quantity is `(dp)/(dq)`

Using implicit differentiation

`p + ((dp)/(dq))*q = 1`

=> `(dp)/(dq) = (1 - p)/q`

The...

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The demand curve is given by pq + 5q = q - 95 where p is the price and q is the quantity. The rate of change in price with respect to quantity is `(dp)/(dq)`

Using implicit differentiation

`p + ((dp)/(dq))*q = 1`

=> `(dp)/(dq) = (1 - p)/q`

The rate of the change in price with respect to quantity is `(1 - p)/q`

Approved by eNotes Editorial Team