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(Solved):   A company produces tables and chairs have the following cost and revenue functions: \[ \be ...



A company produces tables and chairs have the following cost and revenue functions:
\[
\begin{array}{l}
C(x, y)=x^{2}+600 x+2

 

A company produces tables and chairs have the following cost and revenue functions: \[ \begin{array}{l} C(x, y)=x^{2}+600 x+200 y+y^{2}-x y \\ R(x, y)=2400 x-2 x^{2}+200 y-y^{2}+x y \end{array} \] Where \( \mathrm{x} \) and \( \mathrm{y} \) represent the units produced for tables and chairs respectively. Determine the production level for each table and chair so that the PROFIT is maximum.


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Given C(x,y)=x2+600x+200y+y2?xy R(x,y)=2,400x?2x2+200y?y2+xy We know that
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