Question 2. ( 8 points) Consider the following project where all times are in weeks. The costs above are direct costs, i.c. each cost is associated with an individual activity. Normal Cost corresponds to Normal Time. Crash Time is the minimum time an activity will require. Crash Cost corresponds to Crash Time. The network diagram assuming normal activity times is shown below. You will want to fill in the missing entries in the table below. That will help you to answer the questions that follow. (a) What is the minimum project duration (in weeks)? You will want to fill in the table below to show clearly the sequence of activities to crash to foduce the duration of the project by a total of four weeks, one weck at a fime, always at the minimum direct cost. That wiII belp you to answer the questions that follow. (b) Suppose that the nermal preject deration in x werks. Which activities sboald yoe crash to reduce the project daration to (x1) weeks? (1) (c) Which activitics sbould yeu crash to redece the prejnet deratise from (z1) to (x1) wetks? (1) (d) Waich activities should yow crasb te redece the preject deration from (x2) te (x5) werki? (1) (e) Which scthities sbould yeu crast to rtdece the groject deraties frem (x3) ts (x4) areks? (1) (f) What is the optimal project duratioe t tin nwikn if iodlirest (werhewd preject couts accumatate ot the rate of 57, set per wakt? (2) Soppene that is direct (ovirbad) preject coute accumulate at the rote of s9,000 per newk and Bere lis a fine of s3.000 per werk far every week by whab the prajes deration cucweds s wweks? (6) What is the optimal preject deratine (as wexkop? Question 2. (8 points) Consider the following project where all times are in weeks. The costs above are direct costs, i.e. each cost is associated with an individual activity. Normal Cost corresponds to Notmal Time. Crash Time is the minimum time an activity will require. Crash Cost corresponds to Crash Time. The network diagram assuming normal activity times is shown below: You will want to fill in the missing entries in the table below. That will help you to answer the questions that follow. 4 (a) What is the minimum project duration (in weeks)? You will want to fill in the table below to shor clearly the seqaence of activities to crash to redoce the daration of the project by a toeal of four weeks, one week at a time, always at the minimum direct cost. That wiil belp you to answer the questions that follow. (b) Suppose that the normal project daration is x weeks. Which activites mouna you cran av reduce the project duration to (x1) weelis? (1) (c) Which activities sheuld yos crath to reduce the project duration from (x1) to (x2) metist? (1) (d) Which activities sbould yeu erash to reduce the project dwration from (x2) to (x3) wecks: (1) (e) Which activities shosid you crash to reduce the project duration froe (x3) to (x4) weeks? (1) 5 (0) What is the optimal project duration (is weeks) if iodirect (overhead) project costs accumslate at the rate of 57,900 per week? (e) Suppose that indirect (overhead) project costs accumulate at the rate of 59,000 per week and there is a fine of $3,000 per neek for every week by which the preject duration raceedis 9 weeks? (i) What is the optimal preject deration (in weeks)? (ii) What is the optimal project cost (direct plus indirect ptas fine) (in s)? Question 2. ( 8 points) Consider the following project where all times are in weeks. The costs above are direct costs, i.c. each cost is associated with an individual activity. Normal Cost corresponds to Normal Time. Crash Time is the minimum time an activity will require. Crash Cost corresponds to Crash Time. The network diagram assuming normal activity times is shown below. You will want to fill in the missing entries in the table below. That will help you to answer the questions that follow. (a) What is the minimum project duration (in weeks)? You will want to fill in the table below to show clearly the sequence of activities to crash to foduce the duration of the project by a total of four weeks, one weck at a fime, always at the minimum direct cost. That wiII belp you to answer the questions that follow. (b) Suppose that the nermal preject deration in x werks. Which activities sboald yoe crash to reduce the project daration to (x1) weeks? (1) (c) Which activitics sbould yeu crash to redece the prejnet deratise from (z1) to (x1) wetks? (1) (d) Waich activities should yow crasb te redece the preject deration from (x2) te (x5) werki? (1) (e) Which scthities sbould yeu crast to rtdece the groject deraties frem (x3) ts (x4) areks? (1) (f) What is the optimal project duratioe t tin nwikn if iodlirest (werhewd preject couts accumatate ot the rate of 57, set per wakt? (2) Soppene that is direct (ovirbad) preject coute accumulate at the rote of s9,000 per newk and Bere lis a fine of s3.000 per werk far every week by whab the prajes deration cucweds s wweks? (6) What is the optimal preject deratine (as wexkop? Question 2. (8 points) Consider the following project where all times are in weeks. The costs above are direct costs, i.e. each cost is associated with an individual activity. Normal Cost corresponds to Notmal Time. Crash Time is the minimum time an activity will require. Crash Cost corresponds to Crash Time. The network diagram assuming normal activity times is shown below: You will want to fill in the missing entries in the table below. That will help you to answer the questions that follow. 4 (a) What is the minimum project duration (in weeks)? You will want to fill in the table below to shor clearly the seqaence of activities to crash to redoce the daration of the project by a toeal of four weeks, one week at a time, always at the minimum direct cost. That wiil belp you to answer the questions that follow. (b) Suppose that the normal project daration is x weeks. Which activites mouna you cran av reduce the project duration to (x1) weelis? (1) (c) Which activities sheuld yos crath to reduce the project duration from (x1) to (x2) metist? (1) (d) Which activities sbould yeu erash to reduce the project dwration from (x2) to (x3) wecks: (1) (e) Which activities shosid you crash to reduce the project duration froe (x3) to (x4) weeks? (1) 5 (0) What is the optimal project duration (is weeks) if iodirect (overhead) project costs accumslate at the rate of 57,900 per week? (e) Suppose that indirect (overhead) project costs accumulate at the rate of 59,000 per week and there is a fine of $3,000 per neek for every week by which the preject duration raceedis 9 weeks? (i) What is the optimal preject deration (in weeks)? (ii) What is the optimal project cost (direct plus indirect ptas fine) (in s)