A 9 Ft by 8 Ft Bookcase Is to Be

question 33

Multiple Choice

A 9 ft by 8 ft bookcase is to be built. It has horizontal shelves every foot. A support is to be notched in the shelves diagonally from one corner to the opposite corner. At what point should each of the shelves be notched? That is, find lengths A, B, C, D and E in the illustration. How long is the diagonal crosspiece? Round your answer to the nearest hundredth.

• A) A = 1.3 ft, B = 2.7 ft, C = 4 ft, D = 5.3 ft,E = 6.7 ft, the crosspiece is 12 ft.
• B) A = 1.5 ft, B = 3 ft, C = 4.5 ft, D = 6 ft,E = 7.5 ft, the crosspiece is 12.04 ft.
• C) A = 1.5 ft, B = 3 ft, C = 5.5 ft, D = 5 ft,E = 7.5 ft, the crosspiece is 12.04 ft.
• D) A = 1.33 ft, B = 2.67 ft, C = 4 ft, D = 5.33 ft,E = 6.67 ft, the crosspiece is 12.04 ft.
• E) A = 1.5 ft, B = 3 ft, C = 4.5 ft, D = 6 ft,E = 6.5 ft, the crosspiece is 12 ft.

---

Definitions:

Casting Department

A specific section within a manufacturing or production facility dedicated to the process of casting, where materials are melted and poured into a mold to make a product.

Finishing Department

The final stage in the manufacturing process where products are completed, packaged, or prepared for sale.

Predetermined Overhead Rate

A rate calculated before the period begins, based on the estimated overhead costs and estimated activity base, used to allocate overhead costs to products.

Machine-Hours

An indicator of how much output is generated in manufacturing, determined by the total hours that machinery is in use.