The profit on a piano is $40 and on an organ it is $30. You want to maximize profit. What is the objective function for this situation?

Question

You own a company that makes organs and pianos. Each week you make at least 6 organs and at least 4 pianos. You company can make at most 16 of the instruments in a week. The profit on a piano is $40 and on an organ it is $30. You wish to maximize profit.

 

What is the objective function for this situation?

Answer 1

Let x = number of pianos

Let y = the number of organs

What you want to maximize, profit, is the objective function (Z)

Z = 40x+30y