Question: A contractor is working on a project, work on which is expected to last for a period of 52 weeks. It is estimated that during

A contractor is working on a project, work on which is expected to last for a period of 52 weeks. It is estimated that during the jth week, the contractor will need uj man-hours of labor, j=1 to 52 , for this project. The contractor can fulfill these requirements either by hiring laborers over the entire 52 week period (called steady labor) or by hiring laborers on weekly basis each week (called casual labor), or by employing a combination of both. One man-hour of steady labor costs s pesos; the cost is the same each week. However, the cost of casual labor may vary from week to week, and it is expected to be cj pesos pe man-hour, during week j, for j=1 to 52 . How can he fulfill the labor requirements at minimal cost? Formulate as a linear programming model
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