Question

A government estimates the cost to design new radar technology over a period of $m$ months. The government estimates $840,000 for equipment, $15,000 for software, and $40,000 per month for wages. Use an algebraic expression to find the total cost the government estimates when the project takes 16 months to complete.

Answer 1

The total cost the government estimates for designing new radar technology over a period of 16 months is $1,495,000.

Step-by-step explanation:

To find the total cost the government estimates for designing new radar technology over a period of 16 months, we need to consider the cost of equipment, software, and wages. The cost of equipment is $840,000, the cost of software is $15,000, and the cost of wages is $40,000 per month. To calculate the total cost, we add these costs together.

Total Cost = Cost of Equipment + Cost of Software + (Cost of Wages x Number of Months)

Total Cost = $840,000 + $15,000 + ($40,000 x 16)

Total Cost = $840,000 + $15,000 + $640,000

Total Cost = $1,495,000

Answer 2

$1,495,000

Step-by-step explanation:

From the above, we can infer that the first two costs for equipment and software are fixed cost, while wages is the cost that is influenced by the number of months (m).

The above implies that we would multiply number of months 'm' with $40,000.

= 840,000 + 15,000 + 40,000m

Where month (m) = 16

= 840,000 + 15,000 + 40,000(16)

= 840,000 + 15,000 + 640,000

= $1,495,000

Therefore, the total cost is $1,495,000