THE MATERIAL USED TO MAKE A STORAGE BOX COST $1.25 per square foot. THE BOXES HAVE THE SAME VOLUME. HOW MUCH DOES A COMPANY SAVE BY CHOOSING TO MAKE 50 OF BOX 2 INSTEAD OF 50 OF BOX 1? (BOX 1 L=20 in W=6 in H=4 in) (BOX 2 L=15 in W=4 in H=8 in)
How much does creating 50 boxes of 1 cost? (Surface area x price)
How much does creating 50 boxes of 2 cost? Subtract 1 by 2.
Box #1: As = 2(L*h) + 2(L*W) + 2(W*h).
Cost = As * 1.25 * 50 =
Box #2: Same procedure as box #1.
To find out how much does a company save by choosing to make 50 boxes of Box 2 instead of Box 1, we need to calculate the difference in cost between the two options.
First, let's calculate the cost of making 50 boxes of each type:
Box 1:
Volume of Box 1 (V1) = Length (L1) * Width (W1) * Height (H1) = 20 in * 6 in * 4 in = 480 cubic inches.
To convert cubic inches to square feet, we need to divide by 144 since there are 144 square inches in a square foot.
Volume of Box 1 in square feet (V1_ft) = V1 / 144 = 480 / 144 = 3.33 sq ft.
Cost of making 50 boxes of Box 1 (Cost1) = Area (A1) * Cost per square foot (C1) = 50 * V1_ft * $1.25 = 3.33 * 50 * $1.25 = $208.33.
Box 2:
Volume of Box 2 (V2) = Length (L2) * Width (W2) * Height (H2) = 15 in * 4 in * 8 in = 480 cubic inches (same as Box 1).
Volume of Box 2 in square feet (V2_ft) = V2 / 144 = 480 / 144 = 3.33 sq ft (same as Box 1).
Cost of making 50 boxes of Box 2 (Cost2) = Area (A2) * Cost per square foot (C2) = 50 * V2_ft * $1.25 = 3.33 * 50 * $1.25 = $208.33 (same as Box 1).
Since the volume and the cost per square foot are the same for both boxes, the cost of making 50 boxes of Box 2 is equal to the cost of making 50 boxes of Box 1.
Therefore, the company does not save or spend any extra amount by choosing to make 50 boxes of Box 2 instead of Box 1.