(c) At some cost, it is possible to reduce the duration of several of the tasks. In the table below, we see data for the cost per hour of reduction in the task time and the maximum amount by which the task duration can be reduced. For example, the time for checking the script (task B) can be reduced by up to 2 hours, at a cost of $90 per hour of reduction. What would be the minimum cost of reducing the length of the project to 10 hours? Explain which tasks you would speed up and why you would choose those tasks. Cost per Max Hours Immediate Task Time Hour of of Activity Description Predecessors (Hours) Reduction Reduction A1 Setup $100 2 A2 Decorate the Set B Check the script $90 Apply makeup $175 D Fix the stage lighting A1 Put on costumes 3 F Dress rehearsal A2,B,E $250 Check audio/video equip $100 H Shoot the scene $300 A1 3 3 5 4 2 NN 2 mm Nom NN 2 E 3 1 G D 1 2 2 F,G 1