Suppose that one factory inputs its goods from two different plants, A and B, with different costs, 5 and 9 each respective. And suppose the price function in the market is decided as $\displaystyle {p}{\left({x},{y}\right)}$ = $\displaystyle {100}-{x}-{y}$ where $\displaystyle {x}$ and $\displaystyle {y}$ are the demand functions and $\displaystyle {0}\le{x},{y}$. Then as
$\displaystyle {x}$ = Preview Question 6 Part 1 of 3  
$\displaystyle {y}$ = Preview Question 6 Part 2 of 3  
the factory can attains the maximum profit, Preview Question 6 Part 3 of 3   .