Author: Anonymous

A rectangular box with no top is to have a square base and a volume of 10 ft. The material for the base costs 19 cents/ft and the material for the sides costs 12 cents/ft. If denotes the length of one side of the base (in feet), find a function in the variable giving the total cost of materials used in constructing the box in cents.

A billboard designer has decided that a sign should have 3-ft margins at the top and bottom and 2-ft margins on the left and right sides. Furthermore, the billboard should have a total area of 700 ft (including the margins). If denotes the width (in feet) of the billboard, find a function in the variable giving the area of the printed region of the billboard.

A billboard designer has decided that a sign should have 4-ft margins at the top and bottom and 5-ft margins on the left and right sides. Furthermore, the billboard should have a total area of 550 ft (including the margins). If denotes the width (in feet) of the billboard, find a function in the variable giving the area of the printed region of the billboard.

By cutting away an -by- square from each corner of a rectangular piece of cardboard and folding up the resulting flaps, a box with no top can be constructed. If the piece of cardboard is 38 inches long by 22 inches wide, find a function in the variable giving the volume of the resulting box.

By cutting away an -by- square from each corner of a rectangular piece of cardboard and folding up the resulting flaps, a box with no top can be constructed. If the piece of cardboard is 38 inches long by 28 inches wide, find a function in the variable giving the volume of the resulting box.

A rectangular box is to have a square base and a volume of 20 ft. The material for the base costs 25 cents/ft, the material for the top costs 15 cents/ft, and the material for the sides costs 16 cents/ft. If denotes the length of one side of the base (in feet), find a function in the variable giving the total cost of materials used in constructing the box in cents.

The weekly supply function for high definition televisions is given by where is the number of thousands of televisions and is in dollars. Find the average rate of change of the unit price as the quantity supplied goes from 5000 televisions to 5500 televisions.

A rectangular box is to have a square base and a volume of 20 ft. The material for the base costs 25 cents/ft, the material for the top costs 18 cents/ft, and the material for the sides costs 18 cents/ft. If denotes the length of one side of the base (in feet), find a function in the variable giving the total cost of materials used in constructing the box in cents.

A rectangular box is to have a square base and a volume of 50 ft. The material for the base costs 23 cents/ft, the material for the top costs 14 cents/ft, and the material for the sides costs 10 cents/ft. If denotes the length of one side of the base (in feet), find a function in the variable giving the total cost of materials used in constructing the box in cents.

A rectangular box with no top is to have a square base and a volume of 10 ft. The material for the base costs 29 cents/ft and the material for the sides costs 18 cents/ft. If denotes the length of one side of the base (in feet), find a function in the variable giving the total cost of materials used in constructing the box in cents.