We are covering conic sections, including circles, parabolas, ellipses, and hyperbolas in pre-calculus. We were given a worksheet and there is one problem I just can't seem to grasp. here it is:
Two suppliers, supplier 1 and supplier 2, are located at (0,0) and (6,0) respectively. They both charge $10 per mile (1 unit being a mile) for shipping their goods. In addition to the shipping cost, supplier 1 charges $980 for buying his goods and supplier 2 charges $1000 for his goods. Find a set of points (x,y) for which the total cost (shipping plus goods) is the same for both suppliers.