L = 3x width
2L + 2W = 16 units
2(3W) + 2W = 16 units
8W = 16 units
Width = 2 units
Answer: The maximum revenue is $7482 . To get a maximum yield , The number of trees per acre needed is 43.
Step-by-step explanation:
Solution:
Let x represent the extra tree
So for an additional tree the yield of each tree will decrease by 4 bushels.
(80 +x)(26-4x) by expanding
2080 - 320x +26x -4x^2
Using x= -b/2a
X= 294/ -8
X= - 36.75
So apparently he currently has far too many trees per acre. To get the maximum yield , she needs to reduce the number of trees per acre by 36.75
So the number of trees per acre for maximum yield is
80-36.75
=43.25
Approximately x=43
So by reducing he get extra bushel in the tune of 174.
Total revenue= 174 ×43× 1$
=$7482
Let the three numbers be x, y and z respectively, then
x + y + z = 62 . . . (1)
y = x - 4 . . . (2)
z = 4x . . . (3)
The above three expressions could be used to represent the numbers.
Solving the three equations, putting (2) and (3) into (1) gives
x + x - 4 + 4x = 62
6x - 4 = 62
6x = 62 + 4 = 66
x = 66/6 = 11
x = 11.
y = 11 - 4 = 7
z = 4(11) = 44
x = 11, y = 7, z = 44.
-7, because you distribute it to both -4 and 3.2, which means you're multiplying it to both.
Answer: Option B- The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60
