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
6 multiplied by 4 is 24 feet. Then convert it to meters by multiplying .3048 by 24 which means the answer is 7.3152 meters
The next number is 5.
Each number in the sequence is the (positive) difference of the previous two numbers.
Answer:
go to and search answer
^^MATH
WAY
Step-by-step explanation:
ITS REALLY HELPFUL
The exact number is 121.966019, so if you round to the nearest whole number, the answer is 122.