53.96+0.17x =57.96+0.12x
0.17x-0.12x=57.96-53.96
0.05x=4.00
x=80 mi
Answer:
28
Step-by-step explanation:
From the given information:
Let x be the number of trees.
F(x) = (50 +x) (20 - 3x)
F(x) = 1000 - 150x + 20x - 3x²)
F(x) = -3x² - 130x + 1000
Differentiating F(x) with respect to x;


F'(x) = -6x -130
Now; we set F'(x) to be equal to zero to determine the critical value;
-6x - 130 = 0
x = - 130/6
Differentiating F''(x) with respect to x


F''(x) = -6 (<0)
Thus; by the second derivative, the revenue function F(x) is maximum when x = -130/6
Therefore, the number of trees she should plant per acre to maximize her harvest is:
50 + x = 50 - 130/6
= 85/3
28
Therefore, the number of trees per acre to maximize the harvest is 28
Step-by-step explanation:
y=0.5x+1.5
y=2x-3
y=1.5
x=-3
for the second line
y=-3
x=3/2
If you would like to evaluate f - 2 * g for f = 3 and g = 27, you can do this using the following step:
f - 2 * g = 3 - 2 * 27 = - 51
The correct result would be - 51.
If you would like to evaluate x * 0 + y * 0 for x = 3 and y = 2, you can do this using the following step:
x * 0 + y * 0 = 3 * 0 + 2 * 0 = 0 + 0 = 0
The correct result would be 0.