5. In business and economics, equilibrium is the state at which supply and demand are balanced. A state of equilibrium is stable. If an excess of products or services exists, this drives prices down, which results in higher demand. However, a shortage of products or services causes prices to increase, resulting in less demand. Given the supply and demand functions s(x) = 2x2 + 181 + 60 and d(x) = 120 - 4x2, where a is the number of units and s(x) and d(x) are given in dollars, (a) (5 points) what is the equilibrium price? (b) (5 points) how many units r exist to meet this state of equilibrium? (c) (5 points) express the interval(s) at which there is a surplus of product available. d) (5 points) express the interval(s) at which there is a shortage of product available