5

A clothing store buys gloves for 26$ less 21% for buying over50 pairs, and less a further 27 1/3% for buying last season'sstyle. The gloves are then marked up ...

Question

A clothing store buys gloves for 26$ less 21% for buying over50 pairs, and less a further 27 1/3% for buying last season'sstyle. The gloves are then marked up to cover overhead expenses of29% of cost and a profit of 40 1/3 of cost.(a) What is the regular selling price of the ?(b) What is the maximum amount of markdown to break even?(c) What is the rate of markdown if the are sold at thebreak-even price?

A clothing store buys gloves for 26$ less 21% for buying over 50 pairs, and less a further 27 1/3% for buying last season's style. The gloves are then marked up to cover overhead expenses of 29% of cost and a profit of 40 1/3 of cost. (a) What is the regular selling price of the ? (b) What is the maximum amount of markdown to break even? (c) What is the rate of markdown if the are sold at the break-even price?



Answers

A clothing store sells a shirt costing $\$ 20$ for $\$ 33$ and a jacket costing $\$ 60$ for $\$ 93$. (A) If the markup policy of the store is assumed to be linear, write an equation that expresses retail price $R$ in terms of $\operatorname{cost} C$ (wholesale price). (B) What does a store pay for a suit that retails for $\$ 240 ?$

So let's say we say that our retail price is equal to why and that our cost is equal to X. So we have. We have to coordinates here that we have a shirt that costs $20.20 and then it retails for 33. Then we have we have another one, which which costs $60 it retails for 93. And so we confined our slope here. We confined our slope and say that this would be wide to minus. Why one over x two, minus X one So that we have 93 minus 33 93 minus 33 over 60 minus 20. You have 16 minus 20. This is equal to 63 or rather 60. A should say 60/40. And we can We can say that this is equal to 3/2. So we have that our retail minus. If we're using points, look, when we have Reto minus 33 minus 33 is equal to 3/2 times our costs minus 20 minus 20. And so now we have we have our is equal to 3/2 times a cost, and then we have 3/2 times. Negative 20. So this gives us the value of of 10 since negative 20 divided by two gives us negative 10. So you have a negative 10 times three. This gives us minus 30 plus 33. So minus 30 plus 33 gives us value of three. This gives value of three. And so this is our equation. This is our equation that models are retail price with our costs. And so now we want to find out what does the store pace if a suit retails for 240 so you have to 40. Let's say we have to 40 is equal to three have C plus three. Well, we subtract 2 40 minus 3 to 40. Minus three gives a value of 2 37 We most fly to 37 by two and then divide by three. And this gives us that our cost is equal to $158. And lastly were asked about this this slope. So our slope is number three have 3/2. And so what this means is that we will charge $3 for every price that for every cost that we pay of 20 So if we pay $2 that the company pays $2 then we'll charge $3 for And so this is what the sea slope means. So these are our solutions.

So a lot of times and businesses, you can buy products at wholesale value if you are the retailer, so businesses might pay 100 $50 for an item. But they're going to mark it up for you as the consumer. Just spend a little bit more money than they did. So, uh, they used mark up rate. So in this case, we have $150 at a market rate of 18% we're gonna multiply that 18%. But let's go to make it a decimal to make the multiplication a little bit easier. So when we do that multiplication, we get that this was a $27 mark up. Now we want to know. Okay, what is the price after that mark up? So that would just be kind of the the retail price. So the price that you would see at a store So that's the original price, plus the markup value. So the tag at the store retail value would be $177 just adding that mark about you to it. But then typically with stores, you have sales tax included. So for us, the sales tax and value his 7%. So we have to factor that in. And that's gonna be this retail value times the 7% to see what the sales tax is equal to. So it's change 7% to a that small of 0.7 and that gives us a sales tax amount of $12 in 39 cents, which then has to be added back to the retail value of 177. So what we would fully spend on this item it's $189 in 39 cents.

So we have cost To a store for some clothing items versus their retail price. And let's say one item cost them 20 and they sell it for 33. And if it costs them $60, The retail price is going to be 93. And they asked us to write a linear model for any time that the cost of a value is more than $10. So this model would not apply unless the cost was over $10. So the value will look for the equation will look like this well, this will be our slope and that'll be our Y intercept. So let's find the slope. So we know it's the difference in the retail prices over the difference In the costs. So we have 60/40 And that goes into their that becomes a. three. And that becomes too, it becomes about 1.5. And so we know the model so far as R. Is equal to 1.5 times C plus B. And we can plug in either of these two points. Let's plug in the smaller value. And so we'll have the 33 For our and we'll have the 20 or C. And so we'll have 33 minus and 1.5 times that looks like that's going to be 30. So we'd be subtracting 30 from both sides. And so we end up getting that the B value is three. So it looks like our model is gonna end up being our will equal 1.5 C plus three. And if we do a real fast double check if I plug 20 into their 1.5 times 20 plus three. Boom I get 33 1.5 times 60 plus three. Boom I get 93. So it's checks out for both of both our values. So next we want to talk about what that meaning of that slope is. And remember that this was in dollars. It's really helpful to put the units when you actually are doing the computation. And so this was in dollars for the numerator and dollars for the denominator. So and if we think of it that way we don't cancel those dollars out because the dollars have a little bit different meaning. That means for every each $1 increase in the cost will cause a $50 increase in the retail. So if something goes up $2 it's going to go up for retail three if it goes up $3 it's going to go up for 50 for retails and that's the rate at which it goes up. And then part C. We want to find if the retail price is equal to 2 40 what was the cost? Okay So we'd be subtracting three from both sides so we'd have to 37 is equal to 1.5 times c. and then dividing or multiplying by the reciprocal. This is three have so we can multiply by two thirds but I'm using my calculator. So and this comes out that the sea or the cost would be $158. So they cost them 158 but they're going to sell it for 2 40.

Okay, So this one tells us that the original price of the shoes is $75 and then it is 40% off, and then the sales tax is 7%. But sell stocks makes the price go up. So we're gonna put it like this, and we're gonna make the discount like this because the discount makes a good. So then, um, we can take the original price and multiply by 0.6 since if it's 40% off, that means that you're only paying for 60% of shoe right of the initial cost. And then from there, I'm gonna multiply that by 1.7 since it tax makes the price go up by 7%. So the formula you could reference is initial price times one plus or minus. The rates it has to be in decimals is going to give you the final price. That's how I got this sport for she here I did one plus 0.7 So then I If I do that, I just have to put this into my calculator to see how much it would cost to buy the a pair of shoes at um, at the sale price. Then I just have to do 75 times 750.6 times one point of seven. And back is the $48.15 so the final answer should be okay.


Similar Solved Questions

1 answers
Find the interval of convergence for the power series 2(4) 97 2(2n)(E) 98 () 5(n) 99_ (r-2)' 100_ (+1)4"'
Find the interval of convergence for the power series 2(4) 97 2(2n)(E) 98 () 5(n) 99_ (r-2)' 100_ (+1)4"'...
4 answers
Problem 2- (10 points) Find the critical points of f(r,y) = (c -u)(zy - 1) and deter- mine_ they are local minima local mnarima or saddle points_ Motivate your answer!
Problem 2- (10 points) Find the critical points of f(r,y) = (c -u)(zy - 1) and deter- mine_ they are local minima local mnarima or saddle points_ Motivate your answer!...
4 answers
Find the mass and center of mass of the lamina that occupies the region D and has the given density function p. D is bounded by y = Vx,y = 0, and x = 1; p(x, y) = 22xY)
Find the mass and center of mass of the lamina that occupies the region D and has the given density function p. D is bounded by y = Vx,y = 0, and x = 1; p(x, y) = 22x Y)...
5 answers
QUESTION Jl Iole Traction Elememl YMbo AgaseOu; mxtUn ( MdE 5 Nousano (ex3C) 8 1 OichaIn 2 2 1 @JJ ?'01 1 8 1 8ogan @ dansmersshould13 #onea V 1 ONLY Indude tne3211
QUESTION Jl Iole Traction Elememl YMbo AgaseOu; mxtUn ( MdE 5 Nousano (ex3C) 8 1 OichaIn 2 2 1 @JJ ?'01 1 8 1 8ogan @ dansmersshould 1 3 #onea V 1 ONLY Indude tne 3 2 1 1...
5 answers
Given the following functions: f(u) = u3/2 and g(z) = 24 + 1. Find: f(g(c)) f' (u) f' (g(r)) 9 (c) (fo 9)' (c)
Given the following functions: f(u) = u3/2 and g(z) = 24 + 1. Find: f(g(c)) f' (u) f' (g(r)) 9 (c) (fo 9)' (c)...
5 answers
Question 2 (3 points)Given the functions f(z) = 3" and g(z) = 3 - and h(z) functions would result in the following:what composition ofa) y = 33-xb) y = 32'_3c) y = 32 _ 3
Question 2 (3 points) Given the functions f(z) = 3" and g(z) = 3 - and h(z) functions would result in the following: what composition of a) y = 33-x b) y = 32'_3 c) y = 32 _ 3...
4 answers
In the distributions shown state the mean and standard deviation for each Hint: The vertica lines are standard deviation apart:Part of 2(a)150.4160169.6179.2188.8198.4208Mean =179.2Standard deviation9.6Part: 1 / 2Part 2 of 2(b)22.127.930.833.736.639.5MeanStandard deviation
In the distributions shown state the mean and standard deviation for each Hint: The vertica lines are standard deviation apart: Part of 2 (a) 150.4 160 169.6 179.2 188.8 198.4 208 Mean = 179.2 Standard deviation 9.6 Part: 1 / 2 Part 2 of 2 (b) 22.1 27.9 30.8 33.7 36.6 39.5 Mean Standard deviation...
5 answers
From the known atomic masses, find the Q values (in MeV) for the following decays 247Bk 213 Am 230Th 226 RaFor ech decny tle previous pollem, calculate the kinetic CHergy nd velocity for the dnugliet MlIC lcus after the decay; asSuming that the pmrent Mclcus FrhS initially at rest,
From the known atomic masses, find the Q values (in MeV) for the following decays 247Bk 213 Am 230Th 226 Ra For ech decny tle previous pollem, calculate the kinetic CHergy nd velocity for the dnugliet MlIC lcus after the decay; asSuming that the pmrent Mclcus FrhS initially at rest,...
5 answers
Write each of the following as sine and cosine functlon. (10 Marks)
Write each of the following as sine and cosine functlon. (10 Marks)...
5 answers
Show that the problem of determining whether a program with a given input ever prints the digit 1 is unsolvable.
Show that the problem of determining whether a program with a given input ever prints the digit 1 is unsolvable....
5 answers
The writer is considering adding the following true statement to this paragraph:Babies begin to coordinate hand and eye movements early in life.Should the sentence be added to this paragraph, and if so, where should it be placed?A. Yes, after Sentence $1 .$B. Yes, after Sentence 2C. Yes, after Sentence 3 .D. The sentence should NOT be added.
The writer is considering adding the following true statement to this paragraph: Babies begin to coordinate hand and eye movements early in life. Should the sentence be added to this paragraph, and if so, where should it be placed? A. Yes, after Sentence $1 .$ B. Yes, after Sentence 2 C. Yes, after ...
1 answers
A camera lens with index of refraction greater than 1.30 is coated with a thin transparent film of index of refraction 1.25 to eliminate by interference the reflection of light at wavelength $\lambda$ that is incident perpendicularly on the lens. What multiple of $\lambda$ gives the minimum film thickness needed?
A camera lens with index of refraction greater than 1.30 is coated with a thin transparent film of index of refraction 1.25 to eliminate by interference the reflection of light at wavelength $\lambda$ that is incident perpendicularly on the lens. What multiple of $\lambda$ gives the minimum film thi...
5 answers
(a) Evaluate the line integral"(r+2)dswith € = C UCz, where Cis Ihe CUrVe + COs / =4sin/ and = = 0 with 0 <0 < In . C2iS Ihe line segment from (0 4.() t0 (0.0.31.marks
(a) Evaluate the line integral "(r+2)ds with € = C UCz, where Cis Ihe CUrVe + COs / =4sin/ and = = 0 with 0 <0 < In . C2iS Ihe line segment from (0 4.() t0 (0.0.31. marks...
5 answers
Consider the followingf w-& + u6) duSimplify the integrand by distributing U to each term_-2 2uFind the indefinite integral. (Use C for the constant of integration:)~ u+4-c
Consider the following f w-& + u6) du Simplify the integrand by distributing U to each term_ -2 2u Find the indefinite integral. (Use C for the constant of integration:) ~ u+ 4-c...

-- 0.023550--