All right, So this problem gives us a very broken table. Unfortunately, a manufacturer spill Dr Pepper on it and made a lot of these countries illegible. And so the first part that we need to figure out is using the information that's given to us. Will we be able to figure out the rest of the inputs on the graph or on the table? So what's figure as much as we can? The first thing that we can figure out is that our total variable costs equal to 9000 for 20,000 units of output. We know that a number of workers is 100. Knowing this, as I've written on the bottom, each worker will cost $90. This is something that's gonna be very important as we figure out the rest of these columns. Second thing we want to note is that our total fixed cost is $1000. And since our capital are fixed, costs is saying constant throughout the entire time. We know our total fixed costs about all these calls is going to be $1000. So right that in here $1000 for all of these, knowing that our total cost or a total very because and total fixed cost for our 20,000 units of output, we know that total cost here will be $10,000. And knowing this information, we confined our average fixed costs Average variable cost an average total cost, which will be just the numbers for total cost told a very big constant total fixed cost divided by 20,000. So at the after I do my calculations, I get these numbers and also figure out that marginal cost here will be 0.45 which is the exact same is average variable cost in this situation because our variable costs before this was zero you will you know, all these air blank because our output a zero or total cost still equal to 1000 in this column because our output zero and with no uh no variable cost here, no workers in this calm, we know that our total variable crosses equals zero. Now let's move on to our third calm of 40 k We know that our average total costs equal 2.3 to 5 and we know that our output is equal to 40,000. So using this we know we can use. We confined our total cost right? We know that our our cost cost divide by output is equal to average little cost. And so then if we know our average total cost a pulley be so point 3 to 5 is equal to something over 40,000. We can multiply 40,000 and 0.3 to 5 to gain our total cost here. So after most blood 0.3 to 5 times 40,000 we find that our total cost is equal to 13,000. Finding their total costs equals 13,000. We know our total variable costs, then people the 12,000 because total costs equals a total, very because plus total fixed costs. And then knowing that each worker costing $9 we could find that our total workers will be 12,000. Divide by 90 and that gets us 133 points. Three, which is a little peculiar considering how you might not be able tohave points three or some points in history repeating off a worker we're moving on, we can now. So for average fixed costs, an average variable costs as well available cost being 40,000 divided by for 12,005 by 40,000. Use me to be a 0.3. So our average fixed costs that would be 0.25 here moving on to the fourth call 60 Kate Output. We have the amount of workers and knowing that the total variable cost will be the amount of workers times 90. Our total variable costs we get is 20,250 adding 20,020 50 and 1000. We get 21,250 is air to cost. And then after we calculate for average fixed cost, variable cost in every struggle cost we get 0.167 for average fixed cost points rates three, 75 for average variable costs and then our average total cost would be the total to be about 0.354 meant for the final call. We know that our total cost is 30,000. Subtracting 1000 from that will get us our total variable costs. So 29,000 here dividing 29,000 by and 90 will get us the amount of workers that we have, which is about 322 points to repeating. So knowing this weaken, then again, figure out our average fixed costs in variable costs and average tool cost end up being 0.125 36 to 5 and 0.375 Final thing figures are marginal costs like we did the first time. We know that we gained 20,000 units with 3000 unit $3000 of extra costs. So here you would have 3000 five by 20,000 is about 0.15 Then the next home were our costs went up by 8250 from column 3 40,000 to calm 4 60,000 8250. Divide by 20,000. We gives 0.41 to 5 and then for our final column. Our costs went up by 8750. Divine that by 20,000 years of additional output marginal costs with the 0.4375 so are answered apart. A, in short, is the press soft drink President should not pay up to get another duplicate table because we can vote the rest of the entries on our own part. Bees, then asking do the marginal cost average variable costs and I was total costs. Have the relationship that we learned in this chapter, which, being marginal costs will cross average variable costs, average total cost at its minimum point, and then it'll rise as it rises above it. So, as we see here, marginal cost is above rise above average total cost at this point from 40,000 to 60,000 units of output and look average total costs increased from 0.0.3 to 5 to put 354 and we can say the same thing happened with average variable cost as marginal costs rose from 0.152 point 4125 average variable costs rose there as well. So as we can see from the table, this has the relationship that we learned in this chapter as well.