A manufacturing company ships its product in two different sizes of truck trailers. Each shipment is made in a trailer with dimensions 8 feet x 10 feet x 30 feet or 8 feet x 10 feet x 40 feet.

a) If 30% of its shipments are made by using 30-foot trailers and 70% by using 40-foot trailers. Find the mean volume shipped per trailer load?

Mean volume shipped per trailer load = 2960 ft³

Step-by-step explanation:

Since both trailers are always full,

Total volume in one 30 feet trailer shipment = 8 * 10 * 30 = 2400 ft³

Total volume in one 40 feet trailer shipment = 8 * 10 * 40 = 3200 ft³

Assuming a basis of 10 shipments, 3 shipments are done using the 2400 ft³ trailer and 7 shipments are done using the 3200 ft³ trailer.

Mean volume shipped per trailer load = total volume shipped/number of shipments

Total volume shipped = (3 * 2400) + (7 * 3200) = 7200 + 22400 = 29600 ft³

Number of shipment in the basis used = 10

Mean volume shipped per trailer load = 29600/10 = 2960 ft³