Question

11. Chinene Investments produces only one type of product has 40 workers. Each one of them produces 20 units per month. The demand varies during the semester according to the following table Month 1 2 3 45 6 Demand (units) 700 600 500 800900 800 In order to increase/decrease production depending on the demand, the firm can offer some (paid) extra working time (each worker can produce at most 6 additional units per month at unit cost of 5 euros), use a storage space (S10/month per unit of product), employ or dismiss personnel (the number of employed workers can vary by at most $5 per month at an additional price of S500 per employment and S700 per dismissal) At the outset, the storage space is empty, and we require that it should be empty at the end of the semester. Formulate a mathematical program that maximizes the revenues, and solve it with AMPL. How does the objective function change when all variables are relaxed to be continuous [E. Amaldi. Politecnico di Milano] (10 Marks)

Answer 1

Solution:

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