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A widget manufacturer has a new plant to staff and is trying to determine how many union , nonunion permanent or temporary help to hire. The company has a contract to produce 2,100 widgets per day and would like to achieve this at a minimum cost. Union workers work 7.5 hours per day and can make up to 10 widgets per hour. Their wages and benefits cost the company $22.00 per hour. Union workers are assured that at least 80% of the total workers hired will be union workers. Non-union permanent workers work 8 hours per day and can also make up to 10 widgets per hour. Their wages and benefits add up to $18.00 per hour. Temporary workers work 6 hours per day, can make up to 5 widgets per hour and earn only $10.00 per hour.
Write the LP formulation to determine how many of each type of worker should be hired.
Plase be detailed oriented.
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