2. A construction company has the following available resources: 5 excavators, 3 cranes, and 2 dump trucks. Apart from the machinery, the company also has 12 workers who are available either to operate the machines or assist in manual labor tasks. The company is managing two adjacent projects: digging foundations for new buildings and trenching to lay utility pipelines. From previous data, the company expects a profit of $75 for every 1000 m of work completed on the building foundations and $95 for every 1000 m of trenching work done for the pipelines. Each 1000 m of foundation work requires 6 hours of excavator use, 4 hours of crane use, 7 hours of dump truck use, and 28 man-hours of assistive labor. For trenching, each 1000 m requires 7 hours of excavator use, 5 hours of crane use, 3 hours of dump truck use, and 35 man-hours of assistive labor work. . If all machinery and workers are available for up to 8 hours a day (except weekends), formulate the linear programming problem to maximize the expected profit for a period of one week. The unknowns are: - X1 = Units of 1000 m of work for digging foundations. - X2 = Units of 1000 m of trenching for laying utility pipelines