Answer:
t-shirts: 2790
profit: $12209
Step-by-step explanation:
Given the function:
p(x) = -x³ + 4x² + x
we want to maximize it.
The following criteria must be satisfied at the maximum:
dp/dx = 0
d²p/dx² < 0
dp/dx = -3x² + 8x + 1 = 0
Using quadratic formula:
d²p/dx² = -6x + 8
d²p/dx² at x = -0.12: -6(-0.12) + 8 = 8.72 > 0
d²p/dx² at x = 2.79: -6(2.79) + 8 = -8.74 < 0
Then, he should prints 2.79 thousands, that is, 2790 t-shirts to make maximum profits.
Replacing into profit equation:
p(x) = -(2.79)³ + 4(2.79)² + 2.79 = 12.209
that is, $12209
Your dividing number for both is by 8. Since 8 hours divided by 8 equals 1. You will do the same to the top and get an answer of 25 miles!!
Answer:
D
Step-by-step explanation:
-2, 1 is not a point in the square but - 2, 2 is so the answer should be D -2,1
If my answer helped, kindly mark me as the brainliest!!
Answer:
x + y = 180
and,
x = 3y
Step-by-step explanation:
Data provided in the question:
Total area of the farm = 180 acre
x represents the acre in which corn is planted
y represents the acre in which wheat is planted
Thus,
Area of corn + Area of wheat = Total area of farm
x + y = 180 ................. (1)
also,
From the statement, farmer wants to plant three times as many acres of corn as wheat
we can conclude
Area of corn = 3 times the area of wheat
or
x = 3y ................(2)
So, we have system of linear equations that represent the situation as
x + y = 180
and,
x = 3y
