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The constraints that you need to put into your objective function are the profit for each toy. Here’s another way to look at that algebraic function:
The profit you get from selling fish and ducks is equal to the profit per duck multiplied by the number of ducks plus the profit per fish multiplied by the number of fish.
Now you can start trying out some product mixes. You can fill in this equation with the values you know represent the profit per item along with some hypothetical count amounts.
This objective function projects a $700 profit for next month. We’ll use the objective function to try out a number of other product mixes, too.