How to find an objective function

[stricklandapril]

Your club plans to raise money by selling two sizes of fruit baskets. The plan is to buy the small baskets for $10 and sell them for $16 and to buy the large baskets for $15 and sell them for $25. The club president estimates that you will not sell more than 100 baskets. Your club can afford to spend up to $1200 to buy the baskets. Determine the number of small and large fruit baskets you should buy in order to maximize profit.

Objective function:

Constraints:

Check the Vertices:

 

[MarkFL]

Hello, and welcome to FMH!

The objective function is that which you are trying to optimize. Can you identify what you are being asked to maximize?

 

[HallsofIvy]

Your object in doing this is to make as large a profit for your club as possible! If you buy and sell one "large" basket what is your profit? If you buy and sell "x" large baskets what is your profit? If you buy and sell one "small" basket what is your profit? If you buy and sell "y" small baskets what is your profit? What is your total profit?