An entrepreneur has to plan the daily production of shoes of her manufacturing business. The company produces 5 different shoe models thanks to the labor of three craftsmen. The time (in hours /piece) taken by each worker to produce the various models is as follows: Model/Craftsman 1 2 3 4 5 Model Price 56 86 45 42 65 Due to standing union agreements, every craftsman has to work for a minimum of 8 hours per day and no more than 10. For each model of shoe the sale price (in Euro) and an estimate of the maximum number of pieces that the market can absorb are known. 1 2 N 3 4 1 1.5 1.8 2 5 2 3 3.5 4 2 3 1 2.5 2.5 1.5 3.5 3.5 3.5 4.2 Quantity 4 3 3 5 8 Formulate in terms of integer linear programming the problem of determining a production plan that maximizes profits.