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(10 points; per acre hus Eone spraying = Porson centein equipment section 5 insecticide must distbution] with of 2 pine forost randomly rented mean the number of s...

Question

(10 points; per acre hus Eone spraying = Porson centein equipment section 5 insecticide must distbution] with of 2 pine forost randomly rented mean the number of selected cost of 55.00 5150. The To treat Ano diseased trees acre. per [ree. Let C denote dlacuaed trees are diseased trecse Find the expectod the total spmying sprayed with Find value of the cost of the variance cost the cost

(10 points; per acre hus Eone spraying = Porson centein equipment section 5 insecticide must distbution] with of 2 pine forost randomly rented mean the number of selected cost of 55.00 5150. The To treat Ano diseased trees acre. per [ree. Let C denote dlacuaed trees are diseased trecse Find the expectod the total spmying sprayed with Find value of the cost of the variance cost the cost



Answers

The cost of planting seed is usually a function of the number of acres sown. The cost of the equipment is a fired cast because it must be paid regardless of the number of acres planted. The cost of supplies and labor varies with the number of acres planted and are called variable casts. Suppose the fixed costs are $\$ 10,000$ and the variable costs are $\$ 200$ per acre. Let $C$ be the total cost, measured in thousands of dollars, and let $x$ be the number of acres planted. (a) Find a formula for $C$ as a function of $x$. (b) Graph $C$ against $x$ (c) Which feature of the graph represents the fixed costs? Which represents the variable costs?

Um As you read through the directions, uh It makes perfect sense to call C. For cost. I'm gonna make this in um function notations of CFT. And with a fixed cost, that's usually represented by the y intercept. So it's going to cost you $10,000 no matter what. So if time is zero, no time has elapsed, it's going to cost you $10,000 no matter what. And then for 200 for each uh like maybe I shouldn't be using. T is a lot of you associate that with time but X. For the number of acres. Um So this would be my answer for part A. I kind of want to answer heart see first because the fixed cost, this number is represented by the Y intercept and then this number represents how they call it. Well they call it the variable cost because it it varies um It represents the slope of the line because it depends on how many acres you have. Uh So that's your answer to part C. You'll circle both of those. So 200 is a slope, the variable costs, and then 10 thousands of fixed costs. So then in part B, you can create the equation are starting to graph. Um And what you just want to make sure that you do is, you know, whatever you label us, 10,000, the Y intercept, and then it goes up 200 right one or maybe up 200 right one will be the same thing is going up 1000 right five. So like call this point 11,000. Um But you go right five. But anyway, has the same slope and it just continues on in that trend for the cost and the acreage. Yeah.

So we've discussed some important details regarding profit revenue and costs. You know that cost is equal to fix costs plus variable cost times whatever are variable is usually that's the number of units that we're making. Then we have revenue is equal to the the selling costs. So when you go to the store and you buy the price, that's revenue from for the store and that's the selling cost times the number of units. And that our profit is how much we've brought in through revenue minus how much we've had to spend through either making the product or any um employee costs or anything like that. So one other way that we find revenue though is through the demand function. So our demand functions usually a function p with respect to act. It doesn't have to be, but it's important to know that the revenue function is equal to our demand function P of X times X. Um That is really important to know um The demand function is usually a price function with respect tax. So we call it P. Of X. For price. So this is how we find revenue which will allow us to put it into the profit function. That's going to be our final answer

All right, so for this question, were given the area we're trying or we have the triangle given with two angles and one side, and we have to find the area of it is gonna be the area of the park. And so, for part A, we have to figure out what percentage of one anchor this is gonna be. So let's start by getting the area of the strike first so we can use the love signs to calculate the area. Since we know two angles in one side, let's go first, actually label every single angle inside. So let's go ahead and call this side A this. I'd be in this site C and a pro, uh, labeled the angles appropriately. Now, let's go ahead and use a formula for finding the area. So we know that the formula from the love coastlines is C squared times. Sign of a times, uh, sign a B all over Sinus E to sign up. See, we actually don't know what sign of Caesar enough, But we can calculate that pretty easily since we know two of the angles. So the third one's gonna be 41 80 minus 42 plus 65 since all three of them have to equal to 1 80 And so when we do that, we get the last angle is gonna be 73 degrees, actually, right over here, 73 degrees. Okay, so now we know a, B and C, and we also know what see is over here or sightsee is I mean, all the angles for this equation, and when we plug it in, we get that the area of the strangle is gonna be 20,000 347 feet squared. But the question for parties asking us what percentage of an acre this is. So we know that one acre is equal to 43,560 feet. So we have to do to find the percentage of an acre is just divide 28,000 the area of the triangle 20,000 during 2 47 over 43,000, 560. And when we do that, we get 0.651 Let's go ahead and convert that 2% which will be just move the decimal places to on the right and you get 65.1%. So this triangle covers 60.65 point 1% of the maker, 65.1%. We're also going to need to calculate the cost for part B. And the cost for one acre for this park is gonna cost three. Uh, we found a cost. So $3 million for acre. So 3123123 breaker. And we have, uh, 0.651 acres. He calculated that over here when we didn't convert a 2%. So we have to do for this, for it is just multiplied by here. Let me go. Right, The units as well, uh, dollars per acre. We're gonna multiply it by the amount of acres we have, which is 6.51 acres. The anchors, uh, call cross out and we get the final cost to be 1,152,000 $253.

Right. So if this question were given the following revelations that 20 pallets is 2200 and 30 palate is 3200. So we set up a linear equation first so we can see the increase of 10. Palate is increased over $1000. So that means per pallets. It's a hunt is assaulting the rebel 10. So that's 100 dog bother her palate, and then we can find out the weeks. Then we can see that. Uh, no. That dude there's a $200 fixed costs there because 20 pellet, if her palate is 200 tonic palace should be to 2000. Certainly Polish would be certain streets. Others. But there's a 2000 addition to each stem is going. I want to talk to $100 fixed costs. So that means, uh, how it costs. So cost There's a puncture. Relax. Where X is the number of hell it is 100 X plus 200. Where does it fixed? Cost. This is the purple cost. Okay, then we're asked to. So this is this is the answer for it. Yes, sir. For B is we need to find out how much is everything costs after 9% taxes that So that's just one plus zero point 09 which is 9%. Uh, but whatever the actual crisis, so, um, tax x four months Among the money is 1.9 So to find out the total cost and you put the cost in to the taxi question so that is Who's that becomes 1.9 bracket 100 x plus 200? And if I a multiple everything out, then that becomes 109 X plus 2 18 And that's the total amount of money Everything costs after pellets. That's answer. Proceed. So this is a the and see?


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