The demand equation for the T1-83 graphing calculator is x+7p-1200=0 wherez is the quantity demanded per week and p is the wholesale unit price in dollars. The supply equation is x-18p+875=0 where z 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. Equilibrium quantity= Equilibrium price=

To find the equilibrium quantity, we need to set the demand equation equal to the supply equation and solve for the variables.<br /><br />Demand equation: $x + 7p - 1200 = 0$<br />Supply equation: $x - 18p + 875 = 0$<br /><br />Setting the demand equation equal to the supply equation:<br />$x + 7p - 1200 = x - 18p + 875$<br /><br />Simplifying the equation:<br />$7p - 1200 = -18p + 875$<br />$25p = 2075$<br />$p = 83.8$<br /><br />Substituting the value of p into either the demand or supply equation to find the equilibrium quantity:<br />$x + 7(83.8) - 1200 = 0$<br />$x + 585.6 - 1200 = 0$<br />$x = 614.4$<br /><br />Therefore, the equilibrium quantity is 614.4 calculators and the equilibrium price is $83.8 per calculator.