Answer:
241.50
Step-by-step explanation:
Oxen= 40 x 2 = 80
Food=0.20 x 500 =100
Clothing = 10 x 5 = 50
total = 230
Tax= 5 percent x 230 divided by 100
= $11.50
230 +11.50
= 241.50
Bread - 3 choices
Meat - 5 choices
Veggies - 7 choices
1br 1mt 1vg = 3×5×7 = 105
1br 2mt 3 vg = 3×5×4×7×6×5 =12600
7vg 1br = 3×1 = 3
Answer:
d
Step-by-step explanation:
The maximum volume of the box is 40√(10/27) cu in.
Here we see that volume is to be maximized
The surface area of the box is 40 sq in
Since the top lid is open, the surface area will be
lb + 2lh + 2bh = 40
Now, the length is equal to the breadth.
Let them be x in
Hence,
x² + 2xh + 2xh = 40
or, 4xh = 40 - x²
or, h = 10/x - x/4
Let f(x) = volume of the box
= lbh
Hence,
f(x) = x²(10/x - x/4)
= 10x - x³/4
differentiating with respect to x and equating it to 0 gives us
f'(x) = 10 - 3x²/4 = 0
or, 3x²/4 = 10
or, x² = 40/3
Hence x will be equal to 2√(10/3)
Now to check whether this value of x will give us the max volume, we will find
f"(2√(10/3))
f"(x) = -3x/2
hence,
f"(2√(10/3)) = -3√(10/3)
Since the above value is negative, volume is maximum for x = 2√(10/3)
Hence volume
= 10 X 2√(10/3) - [2√(10/3)]³/4
= 2√(10/3) [10 - 10/3]
= 2√(10/3) X 20/3
= 40√(10/27) cu in
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