Which of the following statements is false concerning partial derivatives? Consider the total cost function where Q is output level. TC-f(Q.r) O The first partial TC with respect to Q gives the instantaneous rate of change of the TC function with respect to output. The second partial of TC with respect to Q gives the instantaneous rate of change of the MC function with respect to output. O The cross partial derivative of TC with respect to Q and then requals the cross partial of TC with respect to r and then Q. order of differentiation does not matter. To minimize this function, the first order conditions (FOC) are to set the first partials equal to zero and solve for Q and r. O The second order partial derivatives give the slope of the original function, TC.
Which of the following statements is false concerning partial derivatives? Consider the total cost function where Q is output level. TC-f(Q.r) O The first partial TC with respect to Q gives the instantaneous rate of change of the TC function with respect to output. The second partial of TC with respect to Q gives the instantaneous rate of change of the MC function with respect to output. O The cross partial derivative of TC with respect to Q and then requals the cross partial of TC with respect to r and then Q. order of differentiation does not matter. To minimize this function, the first order conditions (FOC) are to set the first partials equal to zero and solve for Q and r. O The second order partial derivatives give the slope of the original function, TC.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![Which of the following statements is false concerning partial derivatives? Consider the total cost
function where Q is output level.
TC-f(Q,r)
O The first partial TC with respect to Q gives the instantaneous rate of change of the TC function with respect
to output.
The second partial of TC with respect to Q gives the instantaneous rate of change of the MC function with
respect to output.
The cross partial derivative of TC with respect to Q and then requals the cross partial of TC with respect to r
and then Q. order of differentiation does not matter.
To minimize this function, the first order conditions (FOC) are to set the first partials equal to zero and solve
for Q and r.
The second order partial derivatives give the slope of the original function, TC.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67faa819-71f8-4051-a838-f76989829870%2F6f43e59e-bc69-49ab-81b7-2b91f2b77c39%2Fanf1hpe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Which of the following statements is false concerning partial derivatives? Consider the total cost
function where Q is output level.
TC-f(Q,r)
O The first partial TC with respect to Q gives the instantaneous rate of change of the TC function with respect
to output.
The second partial of TC with respect to Q gives the instantaneous rate of change of the MC function with
respect to output.
The cross partial derivative of TC with respect to Q and then requals the cross partial of TC with respect to r
and then Q. order of differentiation does not matter.
To minimize this function, the first order conditions (FOC) are to set the first partials equal to zero and solve
for Q and r.
The second order partial derivatives give the slope of the original function, TC.
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