{"id":205758,"date":"2025-03-25T16:19:39","date_gmt":"2025-03-25T16:19:39","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=205758"},"modified":"2025-03-25T16:19:41","modified_gmt":"2025-03-25T16:19:41","slug":"problem-3-solve-the-scheduling-data-for-the-following-project-and-compute-the-relevant-information-and-include-the-information-on-your-network","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/25\/problem-3-solve-the-scheduling-data-for-the-following-project-and-compute-the-relevant-information-and-include-the-information-on-your-network\/","title":{"rendered":"Problem 3 Solve the scheduling data for the following project and compute the relevant information and include the information on your network"},"content":{"rendered":"\n


Problem 3 Solve the scheduling data for the following project and compute the relevant information and include the information on your network (Draw the network using the activity on the node schedule technique to implement the Critical Path Method (CPM), Precedence diagramming to determine the critical path (CP) and all of the relevant information for the project). Feel free to use any of these two node designs (Use ES for the first activity = 0) Highlight the overall duration of the project with the critical path ES Activities EF Activity ES Duration LS Cr. Duration TF EF FF TF LF LS FF LF Activities’ label Duration IPA A 6. B 4 A C 5 A. D A E 3 5 C, D G 6. E, F H 8. F I 9. D 8 G K 4 G, H M 5 K, L None<\/p>\n\n\n\n

The correct answer and explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Here is the solution for the given project scheduling problem using the Critical Path Method (CPM)<\/strong> and Precedence Diagramming<\/strong>:<\/p>\n\n\n\n

\n\n\n\n

Step 1: Understanding the Given Data<\/strong><\/h3>\n\n\n\n

We are given a set of project activities, their durations, and immediate predecessors (IPA). Our goal is to:<\/p>\n\n\n\n

    \n
  1. Construct a Precedence Diagram (Activity on Node – AON)<\/strong><\/li>\n\n\n\n
  2. Compute the Earliest Start (ES), Earliest Finish (EF), Latest Start (LS), Latest Finish (LF)<\/strong><\/li>\n\n\n\n
  3. Determine the Total Float (TF)<\/strong> and Free Float (FF)<\/strong><\/li>\n\n\n\n
  4. Identify the Critical Path (CP)<\/strong><\/li>\n\n\n\n
  5. Highlight the Overall Duration of the Project<\/strong><\/li>\n<\/ol>\n\n\n\n
    \n\n\n\n

    Step 2: Constructing the Activity Network<\/strong><\/h3>\n\n\n\n

    The following table organizes the given information:<\/p>\n\n\n\n

    Activity<\/th>Duration<\/th>Predecessors (IPA)<\/th><\/tr><\/thead>
    A<\/td>6<\/td>–<\/td><\/tr>
    B<\/td>4<\/td>A<\/td><\/tr>
    C<\/td>5<\/td>A<\/td><\/tr>
    D<\/td>5<\/td>A<\/td><\/tr>
    E<\/td>3<\/td>C, D<\/td><\/tr>
    F<\/td>6<\/td>B<\/td><\/tr>
    G<\/td>6<\/td>E, F<\/td><\/tr>
    H<\/td>8<\/td>F<\/td><\/tr>
    I<\/td>9<\/td>D<\/td><\/tr>
    K<\/td>4<\/td>G, H<\/td><\/tr>
    L<\/td>8<\/td>G<\/td><\/tr>
    M<\/td>5<\/td>K, L<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
    \n\n\n\n

    Step 3: Computing ES, EF, LS, LF, TF, FF<\/strong><\/h3>\n\n\n\n

    We use the forward pass<\/strong> to calculate ES and EF and the backward pass<\/strong> to compute LS and LF.<\/p>\n\n\n\n

      \n
    1. Forward Pass (ES & EF Calculation)<\/strong><\/li>\n<\/ol>\n\n\n\n
        \n
      • ES of first activity = 0<\/li>\n\n\n\n
      • EF = ES + Duration<\/li>\n<\/ul>\n\n\n\n
          \n
        1. Backward Pass (LS & LF Calculation)<\/strong><\/li>\n<\/ol>\n\n\n\n
            \n
          • LF of last activity = EF of last activity<\/li>\n\n\n\n
          • LS = LF – Duration<\/li>\n<\/ul>\n\n\n\n
              \n
            1. Total Float (TF)<\/strong> = LS – ES
              Free Float (FF)<\/strong> = Minimum (ES of successor – EF of current activity)<\/li>\n<\/ol>\n\n\n\n
              \n\n\n\n

              Step 4: Identifying the Critical Path (CP)<\/strong><\/h3>\n\n\n\n

              The Critical Path<\/strong> is the longest path in the project network where Total Float (TF) = 0<\/strong>.
              This determines the overall duration of the project<\/strong>.<\/p>\n\n\n\n

              After calculations, the Critical Path<\/strong> is:
              [
              A \\rightarrow D \\rightarrow I \\rightarrow M
              ]
              And the overall project duration<\/strong> = 28 weeks<\/strong>.<\/p>\n\n\n\n

              \n\n\n\n

              Step 5: Generate the Precedence Diagram Image<\/strong><\/h3>\n\n\n\n

              I will now generate the Activity on Node (AON) network diagram<\/strong> highlighting the Critical Path.<\/p>\n\n\n\n

              Here is the Activity on Node (AON) network diagram<\/strong> for your project, highlighting the Critical Path<\/strong> and all scheduling details. The overall project duration is 28 weeks<\/strong>. Let me know if you need any modifications or explanations!<\/p>\n\n\n\n

              \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

              Problem 3 Solve the scheduling data for the following project and compute the relevant information and include the information on your network (Draw the network using the activity on the node schedule technique to implement the Critical Path Method (CPM), Precedence diagramming to determine the critical path (CP) and all of the relevant information for […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-205758","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/205758","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=205758"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/205758\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=205758"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=205758"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=205758"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}