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The Answer this Poni Suppose The correct correct L HH Suppose proit is 8 units 3 unit 20.08x answei answer V Vi 361 .92 sold 46.00 good is order S25.92, for what t...

Question

The Answer this Poni Suppose The correct correct L HH Suppose proit is 8 units 3 unit 20.08x answei answer V Vi 361 .92 sold 46.00 good is order S25.92, for what this is the company selling price? break even? No units are JO} pajinbaj

The Answer this Poni Suppose The correct correct L HH Suppose proit is 8 units 3 unit 20.08x answei answer V Vi 361 .92 sold 46.00 good is order S25.92, for what this is the company selling price? break even? No units are JO} pajinbaj



Answers

E-SALES. For Exercises 38 and $39,$ use the following information. A small online retailer estimates that the cost, in dollars, associated with selling $x$ units of a particular product is given by the expression $0.001 x^{2}+5 x+500 .$ The revenue from selling $x$ units is given by 10$x$ .
Find the profit from sales of 1850 units.

Problem. Oh, what units here say we want in the problems that are okay, you are able to see now we need to replace RNC with their Russians in terms of X. Also again, that's the given information. So ours you go. The 3.29 times X and cost is equal to smiley. Face. Cost is equal to 2.4 Closed 5000 600. And let's fix that for that's a little bit funky, huh? Guess we're just gonna leave it. Never mind. So hopefully you can read. That's 2.0 for axe. And just erase that little doctor. All right, So what's the first step in solving this equation? Will we see? We need to find We need a software exit. We have toe isolate X. The first step, I would say it would be to move this 2.42 left side by subtracting it. And hopefully you can recall that it does not like force what we do to one side of the equation. We must do to both sides. Otherwise we change the value. The equation. Here we go. This is writing a little better now. All right? So after we do this attraction were left with 3.29 x minus 2.4 x on the left side, which is one 0.25 times X. And on the right side, we see that the 2.4 minus 2.4 ex, um, those two terms cancel. Right? So we're left with just 5000 times 5600. So 5600 is he got a 1.25 X. So we just need to divide by that one and 1/4 in order to isolate X because we want extra have just the coefficient of ones that were divided by 1.25 on both sides. I'm showing the steps in red here, but what I'm doing in between all right, And after we divide, we're left with just acts on the left side. No one time sex there on the left side and on the right, we have the final answer 4000 400 and 80 units. So don't forget your you. It's are simply all right. So this is our final answer again to interpret this within the context of the problem What did we just find? Well, we found the number of units we needed to sell in order for C two. Equal are. And if you want to check yourself, you can take this value substituted back into the original expression for sea and for our for the X value. Here, you'll find out that those to come out to be equivalent. All right, Thank you.

When we talk about different economic terms, such as the break even point, what we're meaning is the point at which our level of profit, Our profit is zero, but the amount of revenue that we have has finally equalled the amount of cost. So what we see is that the selling price per unit s p times the number of units that we've purchased has finally started to equal the total fixed costs that we have. That's going to be fc. Thanks. The cost plus the total variable costs. So all of this combined, uh this is what's going to equal because we have our variable costs are are variable costs and our fixed costs needs to equal the selling costs. So that's how we end up getting here. We can also look at the relationship between the total fixed costs which we see is right here. So we see fixed costs is going to be um If we have this minus this, that's going to give us our break even point and then we want to determine the total fixed costs. So I would just involve us adding it over here and then subtracting the break even cost

It is given that even knew in terms off X is equal. Toby 20 x and the cost in terms off X is given Toby 2000 plus eight x plus 0.25 exc it. No, it is given that profit is equal. Toby Revenue minus coast never putting the value of r and See we have 20 x minus off 2000 plus eight x plus 0.25 x Kids know by simplifying it, we have minus 0.25 Ex kit plus to allow X minus 2000. No, we need that profit is at least $2400 so profit should be greater than or equal to dollar 2400 now, by putting the value of profit in terms of quadratic equation, we have minus 0.25 x scared plus 12 x minus 2000 should be great than or equal toe 2400. Now by simply find it, we get 25 X scare minus 120000 x plus 44 +000000 Last 10 or equal to zero now we're taking common 25. From the left hand side, we get X squared minus 4800 X +1760000 less than or equal to zero. Now, by fact, rising. This we have X minus 400 more. Deployed with X minus 44 100 is less than or equal to zero. Now, from here we have either X minus 400 is less than or equal to zero All X minus 4400. Last 10 record to zero Nobody. Now, from here we have extra be last 10 record to 400. And from here we have X should be less than what he called toe 4400. So number off units off the product should be less than he recalled to 400 or less than or equal to 4400.

Interesting problem here. So we have our equation. Of course, with our variable expenses of $3.20 per which it in $56,000 as the fix expensive one time payment. There's pain, $6 each. And so what we have to do is we have to say OK, $6 each, something to multiply that by the quantity. And that's gonna give me how much money is made. Now we set that equal to our cost equation. And let me explain why, for a bit, we're looking for the break even point. Or, in other words, when the amount think this this is the amount of money made is the exact same is the amount of money spent. And so that's why this equation is going toe work money made equal to the money spent. When those two things are equal, we call that the break even point. All right, so now let's do some algebra by getting rid of 3.2 Q from both sides gone here. Well, just give it. Get rid of it from right side. I guess I should say six minus 3.2 is 2.8. Que equal to 56,000 1 more step divide but 2.8 on both sides of the equation so that we're left with just Q on the left and it turns out 56,000 divided by two point. He is 20,000 and the way you check this, you could plug in 20,000 times six in plug in 20,000 times, 3.2 plus 56,000 and those two amounts, or the amount made, will be equivalent to the Mount spent.


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