Question

The demand function of a commodity is p = 3 + 5D – D2, where p is its price. Then the rate at which its price is changing. When the demand is 5, is _______. *​

Answer 1

SOLUTION

TO FILL IN THE BLANK

The demand function of a commodity is p = 3 + 5D - D² , where p is its price. Then the rate at which its price is changing when the demand is 5 is _____

EVALUATION

Here it is given that the demand function of a commodity is given by

p = 3 + 5D - D²

Now Differentiating both sides with respect to D we get

$\displaystyle \sf{ \frac{dp}{dD} = 5 - 2D}$

Now

$\displaystyle \sf{ \frac{dp}{dD} \bigg|_{D = 5} = 5 - (2 \times 5)}$

$\displaystyle \sf{ \implies \frac{dp}{dD} \bigg|_{D = 5} = 5 - 10}$

$\displaystyle \sf{ \implies \frac{dp}{dD} \bigg|_{D = 5} = - 5 }$

FINAL ANSWER

Hence the rate at which its price is changing when the demand is 5 is - 5

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. qd=1900-60p qs=300-20p where p is the price in rupees of a surf Excel and qd is quantity demanded of asurf Excel qs is q...

https://brainly.in/question/33059482

2. Objective function of a linear programming problem is

a) A constraints

b) Function to optimized

c) A relation between

https://brainly.in/question/30298007

Answer 2

Answer:

SOLUTION

TO FILL IN THE BLANK

The demand function of a commodity is p = 3 + 5D - D² , where p is its price. Then the rate at which its price is changing when the demand is 5 is _____

EVALUATION

Here it is given that the demand function of a commodity is given by

p = 3 + 5D - D²

Now Differentiating both sides with respect to D we get

Now

FINAL ANSWER

Hence the rate at which its price is changing when the demand is 5 is - 5Step-by-step explanation: