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Mathematics 7 Online
OpenStudy (babynini):

Econ question. Yes, I know this is the math section. I'm desperate :/

OpenStudy (babynini):

OpenStudy (babynini):

OpenStudy (babynini):

@jim_thompson5910 do you know how to do this at all?

jimthompson5910 (jim_thompson5910):

a) why will the firm want to keep producing?

OpenStudy (babynini):

Beccause Price > Average Total cost..right?

jimthompson5910 (jim_thompson5910):

I think you meant price > Average variable cost

OpenStudy (babynini):

oops, yeah, sorry :P

OpenStudy (babynini):

(btw, the prof said that since the prices aren't exact on the chart to go to the closest number, rounded down. so 56=55 on the chart)

jimthompson5910 (jim_thompson5910):

that's correct, as long as price > Average variable cost the firm will want to produce

jimthompson5910 (jim_thompson5910):

What's the marginal revenue in part a)?

jimthompson5910 (jim_thompson5910):

marginal revenue = amount of money brought in for selling one additional unit

OpenStudy (babynini):

what column should i be looking at?

jimthompson5910 (jim_thompson5910):

marginal revenue = price per unit

OpenStudy (babynini):

so 10?

jimthompson5910 (jim_thompson5910):

$56 is the price

OpenStudy (babynini):

7.87 (Mc-atc?)

OpenStudy (babynini):

Em, kind of. So it's the exact same number?

jimthompson5910 (jim_thompson5910):

are you familiar with the idea that firms should produce the number of items such that MR = MC ?

jimthompson5910 (jim_thompson5910):

MR = marginal revenue = price per item sold MC = marginal cost

OpenStudy (babynini):

Sorry, I thought revenue was what they gained after paying costs.

jimthompson5910 (jim_thompson5910):

no, that's profit

jimthompson5910 (jim_thompson5910):

profit = revenue - costs

jimthompson5910 (jim_thompson5910):

revenue is the money coming in expenses (or costs) is the money going out

OpenStudy (babynini):

so the first box in a = Yes second box in a = 56? third box (profit) = 7.87

OpenStudy (babynini):

ah ok ok.

jimthompson5910 (jim_thompson5910):

the rule is that if MR > MC then the firm will have positive profit since MR - MC > 0 so the firm will keep bumping up the output until MR = MC if MR < MC then the firm will lose money per item (so it will lose money overall). So either they fix the problem to get to MR = MC or they go out of business

jimthompson5910 (jim_thompson5910):

look at the chart when is MR = MC MR = price = 56

OpenStudy (babynini):

?? at 8?

jimthompson5910 (jim_thompson5910):

yes, at 9 or above, MR < MC so 8 is the highest we should go

jimthompson5910 (jim_thompson5910):

the firm should produce 8 units

OpenStudy (babynini):

hm, ok. So it is profitable for them to produe, yeah?

jimthompson5910 (jim_thompson5910):

one sec

OpenStudy (babynini):

Ok :) These are the options they give me.

jimthompson5910 (jim_thompson5910):

what is the average total cost to produce 8 units? what is the total cost to produce 8 units?

OpenStudy (babynini):

ATC = 48.13 Tc = ? average fixed cost + average variable?

jimthompson5910 (jim_thompson5910):

ATC = average total cost TC = total cost Q = quantity produced ATC = TC/Q

jimthompson5910 (jim_thompson5910):

Side note: TC/Q = (FC + VC)/Q TC/Q = FC/Q + VC/Q TC/Q = AFC + AVC where... FC = fixed costs VC = variable cost AFC = average fixed cost AVC = average variable cost because TC/Q = AFC + AVC we can see that saying "average total cost = average fixed cost + average variable cost" is true

OpenStudy (babynini):

But how do I find the total cost?

jimthompson5910 (jim_thompson5910):

ATC = average total cost TC = total cost Q = quantity produced ATC = 48.13 TC = unknown for now Q = 8 ATC = TC/Q

jimthompson5910 (jim_thompson5910):

ATC = TC/Q 48.13 = x/8 x = ??

OpenStudy (babynini):

385.04?

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

TC = 385.04 TR = ??? TR is the total revenue

jimthompson5910 (jim_thompson5910):

TR = Q*MR = Q*Price Q = quantity produced MR = price

OpenStudy (babynini):

448?

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

profit = TR - TC

OpenStudy (babynini):

62.96

jimthompson5910 (jim_thompson5910):

that's the total profit what is the profit per unit?

OpenStudy (babynini):

7.87

OpenStudy (babynini):

Dude, I gott that answer forever ago by doing MC - ATC. That works too, no?

jimthompson5910 (jim_thompson5910):

when you produce 8 units, MC - ATC = 55 - 48.13 = 6.87

jimthompson5910 (jim_thompson5910):

7.87 is the correct result for "profit per unit"

OpenStudy (babynini):

I plugged in the original number, 56. so it was 56-48.13 = 7.87

jimthompson5910 (jim_thompson5910):

I see, yes MR - ATC = 56-48.13 = 7.87 works. I wasn't thinking of that easier shortcut lol. So you're correct

OpenStudy (babynini):

haha k. So i'm confused where these numbers plug into the chart though.

jimthompson5910 (jim_thompson5910):

7.87 is the profit per unit for part a

OpenStudy (babynini):

third box?

jimthompson5910 (jim_thompson5910):

yes in the first column

OpenStudy (babynini):

Ok, I got column a and b correct but c wrong.

jimthompson5910 (jim_thompson5910):

here's a handy table (see attached)

OpenStudy (babynini):

OpenStudy (babynini):

Oh wow..that is very thorough! haha I am soo sorry this has taken so long. I'm in an irritable mood and late-night homework is not good for my health xP You're a champ.

jimthompson5910 (jim_thompson5910):

excel did much of the work really let me look at part c

OpenStudy (babynini):

hmm..well I put 20.50 on c last row but it said it's wrong.

jimthompson5910 (jim_thompson5910):

what are the drop box options in the second part of part c?

OpenStudy (babynini):

not applicable loss minimizing profit maximizing

OpenStudy (babynini):

do you think it's not applicable?

jimthompson5910 (jim_thompson5910):

yeah because it's definitely not profit maximizing I don't think any items will be produced at all because MR < AVC for all values of Q

jimthompson5910 (jim_thompson5910):

so basically the firm is faced with these choices either a) produce nothing and lose $60 (the fixed cost initially invested) OR b) produce items and lose more than $60. If you look at my table, you'll see -73, -81, etc in the P column. So they stand to lose more money. So they are best just shutting down and moving elsewhere or producing something else.

OpenStudy (babynini):

hm ok. That makes sense. But it also says the output is not 4?

jimthompson5910 (jim_thompson5910):

the output would be 0

jimthompson5910 (jim_thompson5910):

since any other output makes them lose more than $60

OpenStudy (babynini):

oh xD so then total loss = ? 0? or 60?

jimthompson5910 (jim_thompson5910):

total loss = 60

jimthompson5910 (jim_thompson5910):

60 is the fixed cost (to buy a machine or something) they lose whatever the initial fixed cost is if they don't produce anything and decide to move onto something else

jimthompson5910 (jim_thompson5910):

so maybe the owners thought they would make money, but after investing the $60, they realize they'll lose more money. So it's just something they have to live with and move on

OpenStudy (babynini):

Wait, where is 60 on the chart they gave me?

OpenStudy (babynini):

Actually, if you don't want to answer that it's all good. All the answers are correct now. Thanks again. A lot.

jimthompson5910 (jim_thompson5910):

the 60 is the fixed cost I know this because when 1 item is produced, the average fixed cost (AFC) is $60 AFC = FC/Q 60 = FC/1 60*1 = FC FC = 60

jimthompson5910 (jim_thompson5910):

you can use other rows, like when Q = 10 AFC = FC/Q 6 = FC/10 6*10 = FC FC = 60 and you get the same result

OpenStudy (babynini):

I see ^-^ thanks.

jimthompson5910 (jim_thompson5910):

you're welcome

OpenStudy (babynini):

:)

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