the supply equation for an olive oil press is
s(q) = 5q^2 + 1,000q + 100
where s(q) is the price in dollars at which q units are supplied. find the quantity supplied in a month when the company sets the price of its olive oil press at $12,820

12 units

Step-by-step explanation:

The given function is

where, S(q) is the price in dollars at which q units are supplied.

We need to find the quantity supplied in a month when the company sets the price of its olive oil press at $12,820.

Substitute S(q)=12820 in the given function.

Subtract both sides by 12820.

Taking out GCF.

Now solve the equation for q by splitting the middle term.

Using zero product property we get

q is number of units. So the value of q can not be negative.

Therefore the quantity supplied in a month when the company sets the price of its olive oil press at $12,820 is 12 units.