# 2題微積分的問題

1.the total cost of producing and selling 100x units of a particular commodity per week is
C(n)=1000+33x-9x^2+x^3
find (a) the level of production at which the marginal cost is a minimum, and (b) the
minimum marginal cost.
2.for th price function given by p(x)= (800/(x+3))-3
find the number of units x1 that...
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1.the total cost of producing and selling 100x units of a particular commodity per week is

C(n)=1000+33x-9x^2+x^3

find (a) the level of production at which the marginal cost is a minimum, and (b) the

minimum marginal cost.

2.for th price function given by p(x)= (800/(x+3))-3

find the number of units x1 that makes the total revenue a maximum and state the

maximum possible revenue. What is the marginal revenue when the optimum number of

units,x1, is sold?

C(n)=1000+33x-9x^2+x^3

find (a) the level of production at which the marginal cost is a minimum, and (b) the

minimum marginal cost.

2.for th price function given by p(x)= (800/(x+3))-3

find the number of units x1 that makes the total revenue a maximum and state the

maximum possible revenue. What is the marginal revenue when the optimum number of

units,x1, is sold?

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