A Norman window is shaped like a regular window, as a rectangle, except that the top is semi-circular. On the other hand, the light that the window lets into the room is proportional to the area of glass. Find the proportions for the window to get the most light for a fixed amount of money. Example 5 Another box Take a 12 inch by 15 inch rectangle of tin, cut equal squares out of each corner and bend up the sides, then solder the seams on the edges to make a rectangular box with no top. The Great American Tire Co. expects to sell 600,000 tires of a particular size and grade during the next year.
Sales tend to be roughly the same from month to month.
Determine the costs incurred if there are 10 production runs during the year. Example 7 Supermarket. A supermarket is to be designed as a rectangular building with a floor area of 12,000 square feet. 8 Tie Shop. Find the value of x that will maximize the store's daily profit.