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Your cousin Vinnie owns a painting company with fixed costs of $\$$200 and the following schedule for variable costs: $$\mathrm{Quantity \, of \,Houses \, Painted \, per \, Month} \quad 1\quad 2\quad 3\quad 4\quad 5\quad 6\quad 7$$$$\mathrm{Variable\, Costs} \quad$10 \quad$20 \quad$40 \quad$80 \quad$160 \quad$320 \quad$640$$Calculate average fixed cost, average variable cost, and average total cost for each quantity. What is theefficient scale of the painting company?

Efficient scale of painting company is where Average total cost is minimumi.e. painting 4 houses per month is the efficient scale.

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questions happened is asking us to county land average fix, cause average very low cost an average total cost. From this on this chart those case. And first of all, we know that fixed costs is two hundred. You flew here. Speaks causes two hundred dollars, Lucy. Two hundred dollars. So average fixed costs is just this amount of money divided by how many houses you have pent. So two hundred divided by one is two hundred and then two on. Then if you paint to house is the average of fix cause is going to it's the one hundred which is two hundred divided by two. And then I do the same for sector. For the rest of the numbers, two hundred divided by three is like around seventy, sixty six and then two hundred divided before is a fifty and then divided by five forty and then divided by six should be like thirtysomething every three and then two hundred divided by seven. All right, what about average variable cost So that'LL be variable cost divided by the number of houses painted. So it is ten, then twenty, divided by two, three, ten as well and then forty divided by three. Thirteen point three and then and then eighty. Divided by four is twenty and then one hundred sixty divided by five. Is Tuan us thirty two, Then this divided by six will be fifteen. Okay, Just traded it in directions and then six. Okay. What about the average total cost? So the average total cause is going to be the sum off off these two rose. So, for example, this should be two hundred and ten to three hundred and ten. And this one hundred and ten and then this was news to discuss. This are this is twenty years, it's seventy. So, Ana, this is seventy two a Mrs eighty, and then I ignore lives. So how to find the efficient scare off painting? So the most efficient scale in this circumstance is you choose the minimum average total costs. So we think that a medium mean So we think that when your cost is the lowest, it is best for you to produce that amount ofthe service so we can see that it is like decreasing and then goes to seventy. And then they were goes up again. So the minimum here isthe seventy. So I will say that for this question, the most efficient quantity is for so your cousin should choose to paint for houses in the cost will be the lowest.

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