Problem 1 (125 points) In order to reduce the highway congestion and increase number of tourists, the local government plan to build a second highway to the Starry Bay, a world-famous tourism hotspot. The diagram describes the relations and duration between the regular construction activities for the highway. 12 months 7 months . 18 months 4 months 5 months 35 months However, the sooner the highway construction finishes, the more taxes for the local government from the tourism. Experts estimates that the new highway will bring extra taxes of $1,000,000 per month for the local government from the tourism once it being used. So, the government want to speed up the highway construction. Following table show the crashing cost about each activity on the construction project. Crash Cost Crashing Activity per month availability A S400.000 S200.000 2 S500,000 4 $600.000 4 $200,000 $800,000 2 B c D E F 2 b. Determine an optimal crashing plan and the total crashing cost. Please follow the column below to list all your crashing steps Use this table to enter your information: Step # Crashing Crashing Crashing Crashing Cost Project length path/s activity/ activities availability (in $1,000) after crashing S S S S Total Crashing Cost: S What will be your total project length after crashing? Hint: Remember when your crashing cost equals or exceeds the extra taxes coming in each month of $1,000,000 from the new highway it is no longer a benefit!! So your crashing will stop the step prior to equaling or exceeding $1,000.000