The printing company wants to minimize costs. What is the objective function? \begin{tabular}{ll} O $$ P=45 x+20 y $$ \ O $$ P=25 x+45 y $$ \ ber cases from & $$ P=25 x+10 y $$ \ \hline & $$ P=25 x+20 y $$\end{tabular}

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To determine the objective function for minimizing costs, we need to identify which of the provided options represents the cost function based on the variables $$ x $$ and $$ y $$.

The options given are:

1. $$ P = 45x + 20y $$
2. $$ P = 25x + 45y $$
3. $$ P = 25x + 10y $$
4. $$ P = 25x + 20y $$

In this context, $$ P $$ typically represents the total cost, while $$ x $$ and $$ y $$ represent quantities of different items or services whose costs are being combined.

To choose the correct objective function, we would typically look for the function that reflects the costs associated with the quantities $$ x $$ and $$ y $$. However, without additional context about what $$ x $$ and $$ y $$ represent or their associated costs, we cannot definitively select one option over the others.

If we assume that the goal is to minimize costs, any of these functions could potentially serve as the objective function depending on the specific costs associated with $$ x $$ and $$ y $$.

If you have more information about the costs associated with $$ x $$ and $$ y $$, please provide that, and I can help you identify the correct objective function. Otherwise, any of the provided options could be valid depending on the context.
The objective function to minimize costs is $$ P = 25x + 10y $$.

The printing company wants to minimize costs. What is the objective function? \begin{tabular}{ll} O \( P=45 x+20 y \) \\ O \( P=25 x+45 y \) \\ ber cases from & \( P=25 x+10 y \) \\ \hline & \( P=25 x+20 y \)\end{tabular}

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