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Answer:
The profit function is:
The maximum value is 406, 300 occurring when x = 640.
Step-by-step explanation:
The revenue function is:
And the cost function is:
Then the total profit function will be:
This is a quadratic function.
Therefore, the maximum value of the total profit will occur at its vertex point.
The vertex of a quadratic is given by:
In this case, a = -1, b = 1280, and c = -3300.
Then the point at which the maximum profit occurs is at:
And the maximum profit will be:
Answer:
25.
26.
Step-by-step explanation:
For 25:
(area of a trapezoid)
(substitute terms)
(collect like terms)
(reduce the fraction by crossing out 2)
(calculate)
For 26:
(equation of area of a circle)
(enter the radius)
(communtative property to reorder the terms)
Answer:
Option B is correct
circumference of a circle is 785 m
Step-by-step explanation:
Circumference of the circle(C) is given by:
where
r is the radius of the circle
As per the statement:
radius of the circle is 125 m
then substitute in [1] we have
Simplify:
C = 785 m
Therefore, the circumference of a circle is 785 m