Answer:
- north and south sides are 38 8/9 ft long
- east and west sides are 17.5 ft long
Step-by-step explanation:
<u>Short answer</u>: area is maximized when half the cost is spent in each of the orthogonal directions. This means the east and west sides will total $350 at $20 per foot, so will be 17.5 feet. The north and south sides will total $350 at $9 per foot, so will be 38 8/9 feet.
The dimensions that maximize the area are 17.5 ft in the north-south direction by 38 8/9 ft in the east-west direction.
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<u>Long answer</u>: If x represents the length of the north and south sides, and y represents the length of the east and west sides, then the total cost is ...
10y +10y +2x +7x = 700
9x +20y = 700
y = (700 -9x)/20
We want to maximize the area:
A = xy = x(700 -9x)/20
We can do this by differentiating and setting the derivative to zero:
dA/dx = 700/20 -9x/10 = 0
350 -9x = 0 . . . . multiply by 10
x = 350/9 = 38 8/9
y = (700 -9(350/9))/20 = 350/20 = 17.5
The north and south sides are 38 8/9 ft long; the east and west sides are 17.5 ft long to maximize the area for the given cost.
Answer:
(-x,y) To (x,-y)
Step-by-step explanation:
Answer: 1500000
Step-by-step explanation:
The half of 3,000,000 is 1500000 so 1500000
Solve:-
Find unit price per pack.
6-Pack:-
2.49 ÷ 6 = <span>0.41
$</span><span>0.41 per can
12-pack:-
3.99 </span>÷ 12 = 0.33
<span>0.33 per can
24-pack:-
5.49 </span>÷ 25 = <span>0.22
</span><span>0.22 per can
</span>
The cheapest is 24-pack, because the unit price for that is the cheapest. After that pack is the 12-pack one because that is cheaper than the 6-pack. and last is the 6-pack. <span />
Answer:
I would like to solve your problem but plz comment the equation
Step-by-step explanation:
2/5×1/4×3/8 is 6/160
