A supply equation and a demand equation for a product are given below. If p represents price per unit in dollars and a represents the number of units per unit of time, find the equilibrium point. Supply: 40q-2p+230=0 Demand: 80q+p-715=0 The equilibrium point (q,p) is square (Type an ordered pair.)

To find the equilibrium point, we need to solve the system of equations formed by the supply and demand equations.<br /><br />Given:<br />Supply: $40q - 2p + 230 = 0$<br />Demand: $80q + p - 715 = 0$<br /><br />Step 1: Solve the supply equation for $p$ in terms of $q$.<br />$40q - 2p + 230 = 0$<br />$-2p = -40q - 230$<br />$p = 20q + 115$<br /><br />Step 2: Substitute the expression for $p$ into the demand equation.<br />$80q + p - 715 = 0$<br />$80q + (20q + 115) - 715 = 0$<br />$100q + 115 - 715 = 0$<br />$100q - 600 = 0$<br />$100q = 600$<br />$q = 6$<br /><br />Step 3: Substitute the value of $q$ into the expression for $p$.<br />$p = 20q + 115$<br />$p = 20(6) + 115$<br />$p = 120 + 115$<br />$p = 235$<br /><br />Therefore, the equilibrium point $(q, p)$ is $(6, 235)$.