Answer:
We are given that a manufacturer sells a product as $2 per unit.
Quantity = q units
So, Total revenue = 
Total revenue = 
So, the total revenue function is 
Marginal revenue is the derivative of the revenue functions
So, Marginal revenue = 
The marginal revenue function is 2
The constant marginal revenue function mean that the revenue earned by the addition of the output is constant.
Answer:
2:3 unless it wants it in total, then 220:330
Step-by-step explanation:
it gives you the answer with the fraction. A ratio is basically saying with x:y for every x number of one thing there are y number of another. In this case we know 2/5 will be green, so how many will be red? 3/5. So for every 2 greens there are 3 reds.
Another way of looking at it is for the totals. there are 550 total, so 2/5 of that is green. 2/5 of 550 is 220, while 3/5 is 330 so that means of the 550, the ratio is 220:330. Kinda like simplifying fractions where 220/550 is the same thing as 2/5
They paid $720
Here's why:
The formula to this is Interest = Principal x Rate x Time or i = prt
Principal = $2000
Rate = 12%
Time = 3 years
2000 x .12 x 3 = i PEMDAS
2000 x .12 = 240
240 x 3 = 720
i = $720
Equation for circumference is c = 2(pi)r
r = 1/2(d)
d = 20
So…. r = 1/2(20) = 20/2 = 10
Going back to circumference equation
c = 2(pi)(10) = 2(3.14)(10) = 62.8
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