What is the objective function for the following story problem? a,b,c, or d?

What is the objective function for the following story problem?


A company has two skill levels of production workers, level I and level II.


A level I worker is paid $8.00 per hour, and produces 12 items per hour.


A level II worker is paid $14.00 per hour and produces 21 items per hour.


The company is required to use at least 2500 employee hours per week.


The company must produce at least 45,000 items per week.


How many hours per week should the company use workers in each skill level in order to minimize labor costs?








a) z = 8x + 14y


b) z = 4x + 8y


c) z = 14x + 8y


d) z = 4x + 7y

What is the objective function for the following story problem? a,b,c, or d?
You want to minimize labor costs, so that's what you need to look at.


Level 1 costs 8 per hour.


Level 2 costs 14 per hour.





Depending on what you want x and y to represent, the answer is either z = 8x + 14y or z = 14x + 8y


If x = number of hours a level 1 worker works and y = number of hours a level 2 worker works, then z = 8x +14y is correct.





You could also say x = number of hours a level 2 worker works and y = number of hours a level 1 worker works, then z = 14x +8y is correct.