Question

Megan’s TV had a base price of $189 and the sales tax was 6. 88%. Over the next four years, the TV consumed an average of $0. 06 of electricity every day. It also needed repairs twice, costing $29 each time. After four years, Megan got a new TV. What was the lifetime cost of Megan’s TV? (Remember that one in every four years is a leap year. ) a. $357. 68 b. $318. 66 c. $347. 66 d. $351. 65.

Answer 1

Lifetime cost of Megan's TV is sum of base price, tax, electricity cost and repair cost. The lifetime cost of Megan’s TV is $347.

What is lifetime cost of a product?

Lifetime cost it the overall cost of the product, which is expend over it during its service including base price, service charge, fuel charge etc.

Given information-

The base price of the TV is $189.

The daily consumption of electricity by the YV is$0.06

The cost of repairs each time is $29.

As The base price of the TV is $189 and the sales tax on it was 6.88 percent Thus the total base price of the TV at the time of buy is,

$C_b=189\times\dfrac{106.88}{100}\\C_b=202.0032$

Thus, the total base price of the TV at the time of buy is $202.0032.

As The daily consumption of electricity by the YV is$0.06. Thus the total cost of electricity used by TV in four years (including one leap year) is,

$C_E=0.06\times(3\times365+366)\\C_E=87.66$

Thus the total cost of electricity used by TV in four years is $87.6.

As the cost of repairs each time is $29 and need to be repair it twice. The total cost of repair is,

$T_r=29\times2\\T_r=58$

Thus the total cost of repair the TV is $58.

As the lifetime cost of TV is the sum all the cost in 4 year service of TV. Thus,

$C_T=202.0032+87.66+58\\C_T\cong 347$

Hence,  the lifetime cost of Megan’s TV is $347. Option C is the correct option.

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