The demand equation for 6’ by 4’ outdoor garden shed is

d(q) = – 4q^2 – 2q + 1,500

where d(q) is the price in dollars at which q units are demanded. find the quantity demanded in a day if the price of the shed is $1,480.

Step-by-step explanation:

We need to find the quantity demanded if the price of the shed is 1480$. Hence:

Sustract 1480 to both sides:

Multiply both sides by

We have a quadratic equation, we can solve it using the cuadratic formula or simply factoring it:

Now the solutions are given by:

Since we look for a coherent answer we take the positive solution

So the quantity demanded is

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.