A factory produces 500 units of product A and 300 units of product B every week. Product A requires 2 hours of labor per unit, while product B requires 3 hours of labor per unit. If the hourly wage for labor is $15, what is the total weekly cost of labor for producing both products?
First, we need to calculate the total labor hours required for producing both products A and B.

Labor hours for product A = Units of product A * Labor hours per unit
                          = 500 units * 2 hours/unit
                          = 1000 hours

Labor hours for product B = Units of product B * Labor hours per unit
                          = 300 units * 3 hours/unit
                          = 900 hours

Now, let's calculate the total labor hours required for producing both products:

Total labor hours = Labor hours for product A + Labor hours for product B
                  = 1000 hours + 900 hours
                  = 1900 hours

Finally, we need to multiply the total labor hours by the hourly wage to find the total weekly cost of labor:

Total weekly labor cost = Total labor hours * Hourly wage
                        = 1900 hours * $15/hour
                        = $28,500

So, the total weekly cost of labor for producing both products is $28,500.