Question

On Monday, a computer manufacturing company sent out three shipments. The first order, which contained a bill for $112,000, was for 4 Model II, 6 Model VI, and 10 Model IX computers. The second shipment, which contained a bill for $68,000, was for 8 Model II, 3 Model VI, and 5 Model IX computers. The third shipment, which contained a bill for $86,000, was for 2 Model II, 9 Model VI, and 5 Model IX computers. What does the manufacturer charge for each Model VI computer?

Answer 1

The manufacturer charges $6,000 for each Model VI computer.

Step-by-step explanation:

The total cost of each shipment is derived from the combination of Model II, Model VI, and Model IX computers in that shipment.

For the first shipment:

The total cost is $112,000.

It contains 6 Model VI computers.

For the second shipment:

The total cost is $68,000.

It contains 3 Model VI computers.

For the third shipment:

The total cost is $86,000.

It contains 9 Model VI computers.

To find the cost per Model VI computer:

Add up the total number of Model VI computers across all shipments: 6 + 3 + 9 = 18 computers.

Add up the total cost across all shipments: $112,000 + $68,000 + $86,000 = $266,000.

Divide the total cost by the total number of Model VI computers: $266,000 ÷ 18 = $14,777.77 (approximated).

However, this total cost is for all the computers, not just the Model VI ones. To find the cost for each Model VI computer, divide the total cost by the number of Model VI computers:

$266,000 ÷ 18 = $14,777.77 ÷ 3 = $6,000.

Therefore, the manufacturer charges $6,000 for each Model VI computer based on the total cost of all shipments.