Solve for x describe and correct the error in the image
1 answer:
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The dimensions of the square base after cutting the corners will be (40-2x). The depth of the box will be x, so its volume is given by
V = x(40-2x)²
You can differentiate this to get
V' = 12x² -320x -1600
Setting this to zero and factoring gives
(3x-20)(x-20) = 0
The appropriate choice of solutions is
x = 20/3 = 6 2/3
The dimensions of the box of maximum volume are
26 2/3 in square by 6 2/3 in deep
The maximum volume is
(80/3 in)²(20/3 in) = 4740 20/27 in³
V = x(40-2x)²
You can differentiate this to get
V' = 12x² -320x -1600
Setting this to zero and factoring gives
(3x-20)(x-20) = 0
The appropriate choice of solutions is
x = 20/3 = 6 2/3
The dimensions of the box of maximum volume are
26 2/3 in square by 6 2/3 in deep
The maximum volume is
(80/3 in)²(20/3 in) = 4740 20/27 in³
Answer:
Brand A is the better buy with unit rate $4/cup.
Step-by-step explanation:
Given:
Brand A 33 fluid ounce bottle = $16.50
Brand B 1 cup = $4.80
We need to find the unit cost and find which is the better buy.
Solution:
For Brand A;
33 fluid ounce = $16.50
1 fluid ounce = Cost for 1 fluid ounce
By using Unitary method we get;
Cost for 1 fluid ounce =
Now we know that;
1 cup = 8 fluid ounce.
1 fluid ounce = $0.5
8 fluid ounce = Cost for 8 fluid ounce of olive oil.
Again By using Unitary method we get;
Cost for 8 fluid ounce of olive oil =
Hence Brand A 1 cup of olive oil cost $4.
For Brand B;
Given:
1 cup of olive oil =$4.80
Hence Brand B 1 cup of olive oil cost $4.8.
By Comparing both brands we can see that per unit cost of Brand A is less than Brand B.
Hence Brand A is the better buy.