00:01
All right, for this question, we are dealing with producing three computers, model x, y, and z.
00:10
Big, long description of what's going on.
00:13
I'll read to this in a minute.
00:15
What we need to do is look at what they're asking us to solve for, which in this question is a part a, define the decision variables.
00:23
So we'll talk about what that is.
00:25
Part b, write out the objective function.
00:27
That's what we're trying to maximize in this case.
00:31
And part c is constraints, restrictions that we have.
00:35
And we'll read through the whole description and find where all those restrictions are.
00:40
The part a of define the decision variables, that's just defining what we are dealing with here, which is the computers themselves and how many we make.
00:50
So for part a, we're going to define the variable x as the number of model x computers made for the variable y.
01:12
That's just going to be the number of model y computers made.
01:23
And then z will be number of model z computers made.
01:37
And that is it for part a, just defining those three things.
01:43
For part b, they ask us to write out the objective function.
01:47
The objective function is what we are trying to maximize or minimize.
01:53
And they say in this problem that they mention profit within this problem.
02:03
The amount of each resource required for the different products was reported at the table below.
02:07
Model x earns a profit of $100 per unit.
02:11
Model y earns profit of $125 per unit.
02:15
And model z earns a profit of $200 per unit.
02:17
And that is our goal is to maximize that profit.
02:19
That's called our objective function.
02:21
So our profit, the way we calculate this is we say, okay, well, since model x makes $100 per unit, we say 100x is our profit for all the x computers.
02:33
And we say 125y for all the y computers.
02:37
And then we say 200z for all the z computers.
02:42
And that is called our objective function.
02:44
That should be profit equals.
02:48
Those are that expression.
02:50
Okay, and that is it for part b.
02:52
For part c, there's a lot to go with over part c, which is all the constraints.
02:57
To help with that, i included the table that was given in the problem to look at that.
03:05
Part of our constraints is we have a time limit on how much time we have for assembling these computers, for inspecting them and for storage.
03:17
And so those constraints are spelled out in the problem.
03:22
If we go through and we look at towards the top, it says the amount of assembly time is 400 hours, inspection time is 300 hours and storage space is 500 cubic feet...