Answer:
The profit will be maximum on x = 250.
Step-by-step explanation:
From the given information:
Revenue = 1500x - x²
Cost = 1500 + 1000x
As we know that
Profit = Revenue - Cost ; Let say it equation 1
Then after putting the values of revenue and cost in equation 1 we have:
Profit = (1500x - x²) - (1500 + 1000x)
Profit = 1500x - x² - 1500 - 1000x
Profit = -x² + 500x - 1500
We know that at the max or min the slope of the graph formed by the profit function will be zero, therefore we find the slope of profit function by taking the first derrivative w.r.t. x as under:
d(Profit)/dx = d/dx(-x² + 500x - 1500)
d(Profit)/dx = -2x + 500
By putting the above slope equal to zero we get:
d(Profit)/dx = -2x + 500 = 0
-2x + 500 = 0
-2x = -500
x = 250
Therefore it is concluded that the profit will be maximum when x will be equal to 250.
The answer is B. <span>Two lines are perpendicular if they meet at one point and one of the angles at their point of intersection is a right angle. A perpendicular line has to intersect and have a 90-degree angle in order to be perpendicular.</span>
X + 3 = 8
x = 8 - 3
x = 5 <=
It's b 240000
I'm sorry if wrong I'm not too good at these things
The footage of the room with a rental price of $1500 is 709 square foot
<h3>
Linear equation</h3>
A linear equation is given by:
where m is the rate of change, b is the initial value of y, y, x are variables.
Let y represent the monthly rental price and x represent the square footage. Given the equation:
y = 0.7752x + 950.25
For a rent of $1500:
1500 = 0.7752x + 950.25
The footage of the room with a rental price of $1500 is 709 square foot
Find out more on linear equation at: brainly.com/question/13763238