The cost to produce q items is C(q)=1300+2q2 dollars. Find the marginal cost of producing the 12th item. Interpret your answer i
1 answer:
Answer: Marginal cost = $46
The cost of production increases by about $46 when one additional unit is produced.
Step-by-step explanation:
Given : The cost to produce q items is dollars.
The marginal cost of producing the 12th item= C(12)-C(11)
=1588-1542=46
Interpretation : It means , the cost of production increases by about $46 when one additional unit is produced.
You might be interested in
that is correct hmmmm, yes, I think the restriction is also correct, it has to be x > 0, because, the domain on the original, has a restriction of x⩾3, otherwise the radicand turns negative.
now, the graph of that original function is a parabola sideways opening to the right, if you include both sides of the vertex of the parabola, it will not pass the vertical-line-test and not be a function, but if you restrict it to only positive roots, so it'll only be on the 1st quadrant, then it functions ok.
that means, the range of the original function, has to stick to only 0 or positive root values, now, recall that the range of the original is the domain of the inverse. Therefore, the domain of the inverse, will have to stick to only 0 or positive values, since it's bound to the same restriction as the original's range.
notice the picture below of both, the dashed section is the positive range for each, if you include it, the original will fail the vertical-line-test, and the inverse will fail the horizontal-line-test.
recall that for a function to have an inverse, they both must pass the vertical and horizontal line test, or be a one-to-one functions.
The equation is undefined for singularity points at 0, 3, then c ≠ 0, c ≠ 3
<h3>What is the graph of the parent function (y)?</h3>The set of all coordinates (x, y) in the plane that satisfy the equation y = f(x) is the graph of the function. Suppose a function is only specified for a small set of input values, the graph of the function will only have a small number of points, in which each point's x-coordinate represents an input number and its y-coordinate represents an output number.
From the given information,
- The domain for the
is at x ≥ 0,
- The range is the set of values that the dependent variable for which the function is defined. f(x) ≥ 0.
In the second question:
Multiply by LCM
- c - (c - 3) = 3
Solve c - (c - 3) = 3: True for all c
c ≠ 0, c ≠ 3
Therefore, we can conclude that since the equation is undefined for singularity points at 0, 3, then c ≠ 0, c ≠ 3
Learn more about the graph of a function here:
#SPJ1
