What equations do I use to solve this? A level I worker is paid $10.60 an hour and produces 15 items per hour. The level II worker is paid $14.25 per hour and p

Question

The company is required to use at most 2600 employee hrs per wk, and it must produce at least 45K items per week. How many hrs per week should the company us each skill level to minimize labor costs?

Answer 1

I googled a partial of the problem and this is what I found.  How many items does Level II worker produce per week?A level I worker is paid $10.60 an hour and produces 15 items per hour. The level II worker is paid $14.25 per hour and produces 22 items per hour. The company is required to use at least 2600 employee hours per week, and it must produce at least 45,000 items per week.

 

The amount each employee is paid is just extra information.

We need 45000 items a week and have 2600 hours to divvy between both levels of workers.

 

Letting X = # of hours for level 1 worker, the equation that ties items and hours together is

 

15 * X + 22 * (2600 - X) = 45000

Solve for X to get the # of hours for the Level I worker.  Subtract that from 2600 to get number of hours for Level II worker.

 

Can you solve the rest?