A company makes a single product on two separate production...

A company makes a single product on two separate production lines, A and B. Its labor force is equivalent to 800 hours per week, and it has $3100 outlay weekly on operating costs. It takes 1 hour and 6 hours to produce a single item on lines A and B, respectively. The cost of producing a single item is $5 on line A and $3 on line B. (Let the $x$ refer to the number of items on line A and $y$ refer to the number of items on line B.) (a) Write the inequality that expresses the labor information. (b) Write the inequality that expresses the cost information.

Transcript

00:01 In this problem, they tell us that gavin can have two summer jobs and one he makes $20 per hour and the other one's six walking dogs.

00:11 He can work no more than 10 hours a week.

00:14 So the first thing we're going to do is we're going to establish what the variables are.

00:18 Well, they already tell us.

00:20 They want z to represent the hours life guarding.

00:25 So this is life guarding.

00:31 And they want why to represent the hours walking dogs why walking dogs so we want to graph this so we first want to make the inequality so they say that he cannot work more than 10 hours in these jobs a week so z plus y has to be less or equal than 10 so no more than 10 means lesser equal than 10 and on the other hand he must earn at least 90 dollars.

01:09 So the amount is making $20 lifeguarding plus $6 walking dogs has to be greater or equal than the $90.

01:23 So they want us to graph this and find the solution graphically.

01:30 So if we draw a graph here and this is going to be let's call this one z.

01:41 And this one y.

01:44 So we can see that this first graph is z plus y is lesser equal than 10.

01:50 So if we make each of these little 2, 4, 6, 8, 10, and this one 2, 4, 6, 6, make this a little nicer, 2, 4, 6, 8, 10.

02:08 Well, we have the first line, it's a line that goes from here to here.

02:15 So that's the first one and we are below that line...

Question

Please give Ace some feedback