Arkadaşlar merhaba, hocamız ödev verdi fakat konuyu anlayabilmiş değilim çözmek için çabaladım fakat sonuca varamadım yardımcı olabilir misiniz?
1.Soru
XYZ produces 2 products (Product A and B) on two different lines. Line 1 has a capacity of 120 hours per week, and line 2 has a capacity of 56 hours per week. Both products A and B are processed 9 hours on line 1. Product A is processed 5 hours on line 2 but Product B is processed 4 hours on line 2. The profit for product A is $16 per item, and the profit for product B is $5 per unit. The maximum demand of Product A is 20 per week.
2.Soru
There are two types of employees: Full time and Part time. Full time employees work nine hours per day, and part time employees work five hours per day. Similar to the original problem, both full time and part time employees must work five consecutive days and take two days off. Daily demand is calculated as 9 hours * number of workers required each day. For example, 9*13 = 117 hours are required on Tuesdays. The post office may use both full-time and part-time employees to meet the daily demand. A full time employee costs 40TL/day and a part time employee costs 20 TL/day. The post office policy requires that part time employees cannot be more than 10% of the weekly labor requirements (Hint: In terms of hours).
Formulate the optimization problem to minimize weekly labor costs
1.Soru
XYZ produces 2 products (Product A and B) on two different lines. Line 1 has a capacity of 120 hours per week, and line 2 has a capacity of 56 hours per week. Both products A and B are processed 9 hours on line 1. Product A is processed 5 hours on line 2 but Product B is processed 4 hours on line 2. The profit for product A is $16 per item, and the profit for product B is $5 per unit. The maximum demand of Product A is 20 per week.
2.Soru
There are two types of employees: Full time and Part time. Full time employees work nine hours per day, and part time employees work five hours per day. Similar to the original problem, both full time and part time employees must work five consecutive days and take two days off. Daily demand is calculated as 9 hours * number of workers required each day. For example, 9*13 = 117 hours are required on Tuesdays. The post office may use both full-time and part-time employees to meet the daily demand. A full time employee costs 40TL/day and a part time employee costs 20 TL/day. The post office policy requires that part time employees cannot be more than 10% of the weekly labor requirements (Hint: In terms of hours).
Formulate the optimization problem to minimize weekly labor costs