DIRECTION:
Show all work â facts, primary and secondary equations, finding the derivatives, doing sign tests, and donât forget to answer the questions asked!
1. You are under contract to design a storage building with a square base and a volume of 14,000 cubic feet. The cost of materials is $4 per square foot for the floor, $16 per square foot for the walls and $3 per square foot for the roof. Find the dimensions that minimize the cost of materials.
2. A total of 2000 square feet is to be enclosed in two pens, as illustrated. The outside walls are to be constructed of brick, and the inner dividing wall is to be constructed of chain link. The brick wall costs $10 per linear foot and the chain link costs $5 per linear foot. Find the dimensions x and y that minimize the cost of construction.
Brick
Chain link
DIRECTION:
Show all work â facts, primary and secondary equations, finding the derivatives, doing sign tests, and donât forget to answer the questions asked!
1. You are under contract to design a storage building with a square base and a volume of 14,000 cubic feet. The cost of materials is $4 per square foot for the floor, $16 per square foot for the walls and $3 per square foot for the roof. Find the dimensions that minimize the cost of materials.
2. A total of 2000 square feet is to be enclosed in two pens, as illustrated. The outside walls are to be constructed of brick, and the inner dividing wall is to be constructed of chain link. The brick wall costs $10 per linear foot and the chain link costs $5 per linear foot. Find the dimensions x and y that minimize the cost of construction.
Brick
| Chain link |
