 
 Using an EquationAlthough tables and graphs are very useful in representing the supply for a product, equations are sometimes used as well. Although many students try to avoid using equations, this is actually the easiest (and shortest) way to represent the supply for a product. For example, what if I wanted to know how many cases of wine producers would be willing to sell if the price of a bottle of wine were $21? Getting the precise number from the table may be difficult. It would require extrapolating from the points that are there. On the other hand, if I gave you an equation it would be very easy. Suppose I told you the supply for red wine was represented by the following equation: Q = 5,000 + 2,000*P First, let's look at the prices we've already used. If the price of a bottle is $10, just insert that into this equation: Q = 5,000 + 2,000(10) Q = 5,000 + 20,000 Q = 25,000 This is the same as we see in our first table (and in the first figure). If the price of a bottle of wine were $20, we would have: Q = 5,000 + 2,000(20) Q = 5,000 + 40,000 Q = 45,000 If something other than the price of a bottle of wine were to change, this would mean the equation itself would change. For example, the supply for wine after the new machines were released is: Q = 5,000 + 2,000P + 30,000 Q = 35,000 + 2,000P So if the price of a bottle of wine were $10, we would have: Q = 35,000 + 2,000(10) Q = 35,000 + 20,000 Q = 55,000 You can see for yourself you get the other entries in our table (or graph) if the price of a bottle of wine were $20 or $30. As before, this is the same number we had before. We can now easily use this equation to determine the quantity supplied of wine if the price of a bottle were $21: Q = 5,000 + 2,000(21) Q = 5,000 + 42,000 Q = 47,000 Back to Supply  
