The demand equation for the T1-83 graphing calculator is x+6p-702=0 where is the quantity demanded per week and p is the wholesale unit price in dollars. The supply equation is x-20p+910=0 wherez is the quantity the supplier will make available in the market each week when the wholesale price is p dollars each Find the equilibrium quantity and the equilibrium price for the calculators. Equilbrum quantity= Equilbrium price=

To find the equilibrium quantity and price, we need to set the demand equation equal to the supply equation and solve for the variables.<br /><br />Demand equation: $x + 6p - 702 = 0$<br />Supply equation: $x - 20p + 910 = 0$<br /><br />Setting the demand equation equal to the supply equation:<br />$x + 6p - 702 = x - 20p + 910$<br /><br />Simplifying the equation:<br />$6p - 702 = -20p + 910$<br />$26p = 1612$<br />$p = \frac{1612}{26}$<br />$p = 62$<br /><br />Now, substitute the value of p into either the demand or supply equation to find the equilibrium quantity.<br /><br />Using the demand equation:<br />$x + 6(62) - 702 = 0$<br />$x + 372 - 702 = 0$<br />$x - 330 = 0$<br />$x = 330$<br /><br />Therefore, the equilibrium quantity is 330 calculators per week, and the equilibrium price is $62 per calculator.<br /><br />Equilibrium quantity = 330<br />Equilibrium price = $62