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31 Aug 2024, 23:43
Kudos
Bookmarks
Avoiding painting the ceiling and using oil paint: 1500$
Using distemper for all surfaces: 1620$
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
68% (03:18) correct
32%
(03:25)
wrong
based on 663
sessions
History
Date
Time
Result
Not Attempted Yet
A retailer is considering getting his store painted. The dimensions of his store are 40 feet by 15 feet by 60 feet, 15 feet being the height of his store. He finds that the ceiling is in good state and need not be re-painted. However, the ceiling is painted with a costly oil paint and avoiding painting the ceiling would mean painting the four walls with the same, costly paint as he intends to keep the
texture on all five surfaces the same. Alternately, he can get all the five surfaces painted a fresh by a cheaper distemper. The overall cost for using oil paint turns out to be 50 cents per square feet and the same for distemper turns out to be 30 cents.
In the table, select the values that represent the total cost to the retailer for getting his store painted for each of the two alternatives that he is considering. Make only two selections, one in each column.
texture on all five surfaces the same. Alternately, he can get all the five surfaces painted a fresh by a cheaper distemper. The overall cost for using oil paint turns out to be 50 cents per square feet and the same for distemper turns out to be 30 cents.
In the table, select the values that represent the total cost to the retailer for getting his store painted for each of the two alternatives that he is considering. Make only two selections, one in each column.
| Avoiding painting the ceiling and using oil paint | Using distemper for all surfaces | Cost |
| 750$ | ||
| 1500$ | ||
| 1620$ | ||
| 2340$ | ||
| 2700$ |
ShowHide Answer
Official Answer
Avoiding painting the ceiling and using oil paint: 1500$
Using distemper for all surfaces: 1620$
02 Sep 2024, 07:23
Kudos
Bookmarks
So we have this store. The longer walls look like this:
60
________________________
l..........................................l
l..........................................l
l..........................................l15
l_______________________l
The shorter walls look like this:
40
__________________
l................................l
l................................l
l................................l15
l__________________l
The ceiling looks like this:
40
__________________
l................................l
l................................l
l................................l 60
l................................l
l................................l
l__________________l
So let's calculate:
painting all the walls will be: 60*15*2 + 40*15*2 (two walls each) + 60*40 = 1800 + 1200 + 2400 = 5400
It would cost 0.3 cents per square feet, so 5400*0.3 = $1620.
Painting only the four walls would be:
3000*0.5 = $1500.
60
________________________
l..........................................l
l..........................................l
l..........................................l15
l_______________________l
The shorter walls look like this:
40
__________________
l................................l
l................................l
l................................l15
l__________________l
The ceiling looks like this:
40
__________________
l................................l
l................................l
l................................l 60
l................................l
l................................l
l__________________l
So let's calculate:
painting all the walls will be: 60*15*2 + 40*15*2 (two walls each) + 60*40 = 1800 + 1200 + 2400 = 5400
It would cost 0.3 cents per square feet, so 5400*0.3 = $1620.
Painting only the four walls would be:
3000*0.5 = $1500.
05 Sep 2024, 21:39
Kudos
Bookmarks
Consider a cuboid
Avoiding painting the ceiling and using oil paint
Branch A: 2*40*15 (side walls)+2*60*15(front & back) = 3000*50 = 1500 dollars
Using distemper for all surfaces
Branch B: 2*40*15 (side walls)+2*60*15(front & back)+40*60(ceiling) = 5400*30 = 1620 dollars
Avoiding painting the ceiling and using oil paint
Branch A: 2*40*15 (side walls)+2*60*15(front & back) = 3000*50 = 1500 dollars
Using distemper for all surfaces
Branch B: 2*40*15 (side walls)+2*60*15(front & back)+40*60(ceiling) = 5400*30 = 1620 dollars
