Budget 51-70k Is Macbook Air good enough to run 10-15hrs/day with 4k display?

Hi,
I'm going to buy a 4k display from Samsung and noticed the macbook air can support it .
The 13-inch also has 13 hr battery life .
My question is if I connect a 4k display and use the air as my normal PC for office work (multitasking) , for 10-15hrs a day , will it perform smoothly or will that be too much burden on the air and will die or cause problems?

Is it advisable ? It costs 65-70k and seems like a really good value for money to run 4k display with the laptop being super portable too. 13-inch small display won't matter much cause I'd be using the external monitor only mostly.
 
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