Answer :
Answer:
$4162.4
Step-by-step explanation:
As per the question statement,
The computer monitors are in cuboid structure.
Width of computer monitors = 22 inches
Length of computer monitors = 22 inches
Thickness of computer monitors = 2 inches
Average cost of production per cubic inch = $0.43
To find:
Cost to the company to make 10 monitors.
Solution:
Volume of a cuboid is given as following:
[tex]Volume = Length \times Width \times Height[/tex]
Volume of one computer monitor as per the given dimensions = [tex]22\times 22 \times 2[/tex] = 968 cubic inches
Volume of 10 such monitors = 968 [tex]\times[/tex] 10 = 9680 cubic inches
Cost of manufacturing of 1 cubic inch = $0.43
Cost of manufacturing of 9680 cubic inch = $0.43 [tex]\times[/tex] 9680 = $4162.4
To find the cost to manufacture 10 computer monitors, calculate the volume of one monitor, multiply by the cost per cubic inch, and then multiply by 10, resulting in a total production cost of $4162.40.
The student's question involves calculating the cost of manufacturing computer monitors given a volume and a cost per cubic inch. The first step is to calculate the volume of a single monitor by multiplying its dimensions: 22 inches wide, 22 inches across, and 2 inches thick. This results in 968 cubic inches per monitor (22 x 22 x 2). Next, we multiply the volume by the average cost to produce one cubic inch, which is $0.43. Thus, the cost to produce one monitor is 968 cubic inches x $0.43/cubic inch, which equals $416.24. Finally, to find the cost to make 10 monitors, we multiply the cost of one monitor by 10, resulting in a total cost of $4162.40.
