An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000, respectively. The power consumption per year of machines A and B are 120 MWh and 100 MWh, respectively. The power cost is $40/MWh. The estimated life of both machines is 10 ye $20,000 for machine B. According to the life-cycle costing approach, the overall cost of machines A and B are:

A. $88,000 and $98,000, respectively
B. 875,000 and $70,000, respectively
C. $118,000 and $110,000, respectively
D. $74,800 and $79,000, respectively
E. $110,000 and $120,000, respectively.

C. $118,000 and $110,000, respectively.

Step-by-step explanation:

Please consider the complete question.

An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000, respectively. The power consumption per year of machines A and B are 120 MWh and 100 MWh, respectively. The power cost is $40/MWh. The estimated operating and maintenance cost over 10 years is $30,000 for machine A and $20,000 for machine B.

First of all, we will find the amount spent on power consumption for 10 years by each machine as:

Now, we will find overall cost of machines A and B by adding initial cost, power consumption for 10 years and maintenance cost as:

Therefore, the overall cost of machines A and B are $118,000 and $110,000, respectively and option C is the correct choice.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,