The supply function for oil is given (in dollars) by $S(q)$, and the demand function is given (in dollars) by $D(q)$.
\[
S(q)=q^{2}+7 q, \quad D(q)=1020-19 q-q^{2}
\]
b. Find the point at which supply and demand are in equilibrium.

The equilibrium point is $\square$. (Type an ordered pair.)
c. Find the consumers' surplus.

The consumers' surplus is $\$ \square$.
(Type an integer or decimal rounded to the nearest hundredth as needed.)
d. Find the producers' surplus.

The producers' surplus is $\$ \square$.
(Type an integer or decimal rounded to the nearest hundredth as needed.)

Step 1 ：Set the supply function equal to the demand function: \(q^2 + 7q = 1020 - 19q - q^2\)

Step 2 ：Rearrange the equation to get a quadratic equation: \(2q^2 + 26q - 1020 = 0\)

Step 3 ：Use the quadratic formula to solve for q: \(q = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

Step 4 ：Substitute the values of a, b, and c into the quadratic formula: \(q = \frac{-26 \pm \sqrt{(26)^2 - 4*2*(-1020)}}{2*2}\)

Step 5 ：Solve the equation to get two possible values for q, but discard the negative value: \(q = 15\)

Step 6 ：Substitute q = 15 into the supply function to get the price: \(S(15) = (15)^2 + 7*15 = 330\)

Step 7 ：The equilibrium point is \(\boxed{(15, 330)}\)