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
Let's call the number you thought of n. Then what the two steps you took can be written as an equation:

Subtract n to get all of your variables to one side:

At this point, I recommend turning your mixed number into an improper fraction. It will make things easier later on:

Now divide both sides by 11 to get the value of n:
Answer:
5a to the power of 2 ofc
Step-by-step explanation:
Answer:
<h2>Q = -6</h2>
Step-by-step explanation:
If the solution of the system of equations is {(x, y): x - y = 4} - infinitely many solutions, then this system is consistent and dependent.
x - 3y = 4 <em>multiply both sides by 2</em>
2x - 6y = 8
Therefore Q = -6
Answer:
7%
Explanation:
cost of 10 bag is rs 5000.
then cost of one bag is 500.
he sold 7 bag for rs550 each then total =550×7
= 3850
again, he sold rest 3bag at cost price =500 ×3
=1500
then ,. profit percentage; s.p- c.p/5000×100
350/5000×100
= 7%