Question

A fence company sells wooden and metal fences. Let x represent the number of wooden fences they sell and let y represent the number of metal fences. They make a profit of $360 for each wooden fence and $250 for each metal fence. Write an objective function that could be used to determine how many of each to make in order to maximize profit.

Answer 1

The objective function to determine the number of wooden and metal fences to make in order to maximize profit is 360x + 250y.

Step-by-step explanation:

To determine the number of wooden and metal fences to make in order to maximize profit, we need to write an objective function. The objective function for this problem will represent the total profit made from selling the wooden and metal fences. Let's assume x represents the number of wooden fences sold and y represents the number of metal fences sold.

The profit from selling wooden fences is $360 per fence, so the profit made from selling x wooden fences is 360x. Similarly, the profit from selling metal fences is $250 per fence, so the profit made from selling y metal fences is 250y. Therefore, the objective function is:

Objective function: 360x + 250y