Members of the Keeshka Dining Club meet once a month...

Members of the Keeshka Dining Club meet once a month to enjoy a meal with a set two-course menu at the club premises while listening to a string quartet. Planning the meal entails scheduling the activities listed below: Duratio Activity Description Precedence (minutes) A Lay table covers — 10 B Set out condiments A 5 and cutlery C Set out glasses A 10 D Set up musicians' — 40 equipment E Greet guests with B, C 10 aperitif F Seat guests D, E 4 G Take wine orders F 6 H Serve wine G 8 I Serve main course H 5 J Guests eat main course I 30 K Clear main course J 5 L Serve dessert K 4 M Guests eat dessert L 15 N Clear dessert M 3 O Serve coffee M 6 (a) Prepare a network diagram for this procedure and from it ascertain the earliest time that the serving of coffee will be completed if the laying of the table covers begins at 11.30am. (b) Identify the critical activities.

Transcript

00:01 All right, friends, let's talk through this together.

00:02 So we are looking at certain situations, and we are looking at, does the order matter? now, when the order matters, we're usually talking about combinations or permutations of different things.

00:20 We're not going to talk in depth about the combinations and permutations of these particular situations.

00:25 However, what i am going to do is to type up a few of these and have a discussion about whether or not the order matters.

00:34 So the first one here is pizza toppings.

00:39 Do pizza toppings matter? does the order matter? and typically the toppings, typically the toppings under the top layer of cheese do not matter the order.

01:00 So, the reason why we often just want to have all of our toppings on our pizza, and then we typically are going to put pizza or cheese on top.

01:09 Now, if the cheese happens to be on bottom, it'll probably still taste okay.

01:12 But in general, you could subtract one topping from the list, and then you could choose to put the others on in any order.

01:21 That doesn't necessarily matter.

01:24 But if you have multiple types of cheese, perhaps that matters.

01:28 But generally, we would say this does not matter.

01:32 So we're going to say not matter the order.

01:37 All right.

01:37 Take a look at the next one.

01:38 So this one is seven bands have volunteered.

01:41 Seven bands volunteered to play.

01:48 However, at concert.

01:51 However, there is only room, only four can play in the allotted time.

02:02 So in this case, the order doesn't matter.

02:04 Order doesn't does not matter however the selection of three of seven or excuse me four of seven four of seven um does matter so this is the choose for idea choose four of seven so there may be multiple ways to choose four of seven but in this case the order doesn't matter the order in which the bands are playing doesn't matter.

02:37 However, the idea of choosing four of the seven does matter.

02:41 So then take a look at the next one.

02:43 We say three of 15 students will be chosen to sing the national anthem to lead invocation, like leading a ceremony, and introducing a guest.

03:12 And so, so this would be at a ceremony at school.

03:20 And so in this case, the teacher or this information does not tell us that it matters which student does each of these items.

03:29 However, what does matter is that we are choosing three of the 15.

03:38 Let's take a look at the next one.

03:40 So we are posing students for pictures.

03:42 Posing students for pictures.

03:46 Does the order matter? now, the idea here is that we want all people in the picture.

03:51 So the goal here, it does not matter.

03:54 It does not matter as long as everyone is in the photo.

04:04 However, here's another little caveat...

Question

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