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Your boss tells you that she needs a decision by the end of the day about the machine you want to purchase for your new operation. You have four options, and your boss reminds you to be as cost-efficient as possible but that she also wants the best efficiency. Which is your best option?

Option 1: This $5,000 machine is supplied energy at a rate of 1,900 W and does useful work at a rate of 1,786 W.
Option 2: This $4,500 machine is supplied energy at a rate of 1,450 W and does useful work at a rate of 1,300 W.
Option 3: This $4,750 machine is supplied energy at a rate of 1950 W and does useful work at a rate of 1833 W.
Option 4: This $4,750 machine is supplied energy at a rate of 2,000 W and does useful work at a rate of 1,822 W.


A. Option 1
B. Option 2
C. Option 3
D. Option 4

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option 3. it is cheaper and has a lot more watts and only has 50 less rates the option 4.

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Answer:

C.option 3

Explanation:

We are given that Your boss tell you that she needs a decision by the end of the day about the machine you want to purchase for your new operation .

You have four choices , and your boss reminds you to be cost-efficient as possible but she wants the best  efficiency .

Efficiency of machine  : It tell us how much input energy converted into useful work.

Efficiency of machine= Output energy[tex]\div[/tex]input energy

In option 1  machine cost = $5000

The rate of  supplied energy of machine =1900 W

The rate of useful work= 1786 W

Efficiency=[tex]\frac{1786}{1900}=0.94[/tex]

In option 2

Machine cost =$45,00

The rate of  supplied energy of machine= 1450 W

The rate of useful work=1300 W

Efficiency=[tex]\frac{1300}{1450}=0.897[/tex]

In option 3

Machine cost=$14750

The rate of  supplied energy of machine=1950 W

The rate of useful work=1833 W

Efficiency=[tex]\frac{1833}{1950}=0.94[/tex]

In option 4

Machine cost=$4750

The rate of  supplied energy of machine=2000 W

The rate of useful work= 1822 W

Efficiency=[tex]\frac{1822}{2000}=0.911[/tex]

In option 1 and 3 cost are different but the efficiency of machine in option 3  and option  1 is same. But the cost of option 3 is smaller than the cost of machine in option 1. Hence, option 3 is best .

Answer: C.option 3

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