Answer:
Selling 40 items will produce a maximum profit.
Step-by-step explanation:
We need to use First and Second Derivative Tests on profit function to determine how many items will lead to maximum profit. Let , where is the profit for a product, measured in US dollars, and is the amount of items, dimensionless.
First we derive the profit function and equalize it to zero:
(Eq. 1)
Roots are found by Quadratic Formula:
and
Only the first root may offer a realistic solution. The second derivative of the profit function is found and evaluated at first root. That is:
(Eq. 2)
(Absolute maximum)
Therefore, selling 40 items will produce a maximum profit.
Step-by-step explanation:
Use the formula (Y2 - Y1)/(X2 - X1) to find the slope between two points
We'll make Point 1 (which is X1 and Y1) the Y-intercept so
X1, Y1 = (0, 5.00)
And we'll make Point 2 (which is X2 and Y2) the point on the trend line
X2, Y2 = (200, 6.00)
Plug into the formula:
(6.00 - 5.00)/(200 - 0)
= 1/200 or 0.005
Slope: 1/200 or 0.005
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Answer:
(-9x+7)+(-6x-13)= -15x + -6
Step-by-step explanation:
-9x+-6x = -15x
7+-13=-6
therefore, -15x+-6 = (-9x+7)+(-6x-13)
Substitute y = x + 2 into y = 3x - 2
x + 2 = 3x - 2
Solve for x in x + 2 = 3x - 2
x = 2
Substitute x = 2 into y = x + 2
y = 4
Therefore,
<u>x = 2</u>
<u>y = 4</u>
Answer:
The graph of the line would be y + 1 = m(x - 1) in which m is the slope. That slope would be the opposite and reciprocal of the one on the graph.
Step-by-step explanation:
To find the equation, start with the base form of point slope form and insert all known information.
y - y1 = m(x - x1)
y + 1 = m(x - 1)