Please post what's best optimal solution as well. After you solve LP model.

Problem Description A cheese firm produces two types of cheese: Swiss cheese and sharp cheese. The firm has 60 experienced workers and would like to increase its workforce to at least 90 workers during the next 8 weeks. Each experienced worker can train 1 - 3 new employees in a period of two weeks during which the experienced and new workers involved virtually produce nothing. After the training period of two weeks, new employees become experienced workers and can produce cheese. The production rate of Swiss cheese is 10 pounds per worker per hour, and the production rate of sharp cheese is 8 pounds per worker per hour. Each worker works at most 40 hours per week. The weekly demands (in 1000 pounds) are summarized in the table below. Since exeraging destroys the flavor of the cheese, the cheese produced in each week can be sold only in the current and next weeks. For example, the cheese produced in week 1 can be sold in weeks 1 and 2. Usually, unsold cheese is donated to food banks. There is no cheese in inventory at the beginning of week 1. Week 1 Week 8 Cheese Type Swiss cheese Sharp cheese Weekly demands of each type of cheese (in 1000 pounds) Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 12 13 18 14 18 20 8 10 8 12 13 15 11 20 8 15 Suppose that a trainee receives the same full salary as an experienced worker. How should the company hire and train its new employees so that the labor cost is minimized over this 8-week period and all demands are met? Problem Description A cheese firm produces two types of cheese: Swiss cheese and sharp cheese. The firm has 60 experienced workers and would like to increase its workforce to at least 90 workers during the next 8 weeks. Each experienced worker can train 1 - 3 new employees in a period of two weeks during which the experienced and new workers involved virtually produce nothing. After the training period of two weeks, new employees become experienced workers and can produce cheese. The production rate of Swiss cheese is 10 pounds per worker per hour, and the production rate of sharp cheese is 8 pounds per worker per hour. Each worker works at most 40 hours per week. The weekly demands (in 1000 pounds) are summarized in the table below. Since exeraging destroys the flavor of the cheese, the cheese produced in each week can be sold only in the current and next weeks. For example, the cheese produced in week 1 can be sold in weeks 1 and 2. Usually, unsold cheese is donated to food banks. There is no cheese in inventory at the beginning of week 1. Week 1 Week 8 Cheese Type Swiss cheese Sharp cheese Weekly demands of each type of cheese (in 1000 pounds) Week 2 Week 3 Week 4 Week 5 Week 6 Week 7 12 13 18 14 18 20 8 10 8 12 13 15 11 20 8 15 Suppose that a trainee receives the same full salary as an experienced worker. How should the company hire and train its new employees so that the labor cost is minimized over this 8-week period and all demands are met