Suppose that the supply and demand equations for printed T-shirts for a particular week are given as follows, where p is the price in dollars and q is the quantity in hundreds.
(A) Find the supply and demand (to the nearest unit) if T-shirts are $ 7 each.
To find the supply, substitute $ 7 for p into the price-supply equation and solve for q. Because the quantity is measured in hundreds, multiply the resulting value by 100 to find the number of units.
Substitute $7 for p into the price-supply equation and solve for q, rounding to two decimal places.
(C) Find the equilibrium price and quantity.
In this scenario, the intersection of the graphs of the price-supply and price-demand equations represents the equilibrium price and quantity.
Find the equilibrium price and quantity. Substitute the second equation into the first equation and solve for q to find the value of q at the point of intersection rounded to two decimal places.
(D) Graph the two equations in the same coordinate system and identify the equilibrium point, supply curve, and demand curve.
The graph is shown to the right.
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