5

When a shopkeeper reduces the selling price from 1080 to 1026 its loss increases by 4 percentage point. What is the selling price of this same article when it fetch...

Question

When a shopkeeper reduces the selling price from 1080 to 1026 its loss increases by 4 percentage point. What is the selling price of this same article when it fetches a profit $4 % ?$(a) Rs. 1392(b) Rs. 1404(c) Rs. 1450(d) Rs. 1350

When a shopkeeper reduces the selling price from 1080 to 1026 its loss increases by 4 percentage point. What is the selling price of this same article when it fetches a profit $4 % ?$ (a) Rs. 1392 (b) Rs. 1404 (c) Rs. 1450 (d) Rs. 1350



Answers

A retailer has been selling 1200 tablet computers a week at $ \$ 350 $ each. The marketing department estimates that an additional 80 tablets will sell each week for every $ \$ 10 $ that the price is lowered.
(a) Find the demand function.
(b) What should the price be set at in order to maximize revenue?
(c) If the retailer's weekly cost function is
$$ C(x) = 35,000 + 120x $$
what price should it choose in order to maximize its profit?

Section 3.4 problem number 50. So we're given in this one a profit function. So p of X is equal to 500 plus 48 X minus four x squared. So this is the prophet and hundreds of dollars. And what we're asked to do is to find the marginal profit. So the marginal profit, it's just gonna be p prime of X. Okay, soapy prime of X p prime of X is the limit is H approaches zero off. So that's P of X plus h. So that's gonna be 500 plus 48 x plus H minus four X plus h squared minus P of x. So that's gonna be minus 500 minus 48 x plus four x squared. All of that over h. So I could see immediately the five hundreds cancel. I can also see a cancellation negative 48 x and the positive 48 x So this becomes the limit as H approaches zero of 48 h minus four X squared and then minus eight x h and then minus four h squared and then plus four x squared over h. And what do I see in a cancellation. Now I see four x squared and minus for X squared. And I also see that this is there's an h in every term here, So h h h that becomes, um, only one h. So this becomes the limit. As H approaches zero of 48 minus eight x minus four h when h goes to zero, this is 48 minus eight x. So I find that the marginal profit is 48 minus eight x. And now we want to evaluate this marginal profit at $400 at $600 at $800 huh? And at $1000 and see what kind of information this gives us. So we need to figure out what is p of four. Because it was already given in hundreds of dollars. So that's 48 um, minus eight times four. So 48 p f four is 48 miners. Attempts for that's 48 minus 32 so that it's gonna be eight monies to a six performances. 16. Okay, so that value is 16. If I look a p prime of six, that's gonna be 48 minus eight times six. That is zero. Okay. And if you look at 800 p, Prime at eight is going to be 48 minus eight times eight, which is 64. So 48 minus 64 is going to be minus 16. And if you look at 1000 that's p prime 10. That's gonna be 48 minus 80. Okay? And so that's going to be what, minus 32. So what does it tell me? It says if I look at this, decide in each case whether or not I should increase my expenditure. So if you look at it, if if my expenditure is $400. Okay, so my expenditures $400. The marginal rates says I'm increasing profits at that ping. So this represents an increase of profits. That's 600 that represents profits. Staying steady. Okay, So if I could spend 400 have an increase of profit, why would I go to 600? Not necessarily. If you look at 808 100 tells me I would have a decrease of profit 10 I would have an even higher decrease of profit. So in that case, it tells me that well, in the best case 400 would be the best of all of these scenarios. You see here now, another way that you can think about this is the original was what, um, 500 plus 48 x minus four x squared on this four X square. We know that the graph of that thing that is a parabola that opens downward. So that's a problem that opens downwards. It tells me that at some point, you know, if I look at that, I've got positive increases and then a zero, and then it looks like I've got negative increases. So it tells me that when I look at slopes of that and derivatives, I expect it to go up a level off zero and to go back down again. So in this case, we looked at the marginal rates from this original function that we had and we found in the four cases, there was one case where that made sense because I had increasing profits at 400. But once I got to 600 that would not be the case. Okay,

Okay, So for this one, we want to set up some sort of an equation that deal with more supplying thie rates. So we know that all my body, not top computer restore, that gave you twenty percent discount. So we know that we're going to be using one minus R or one plus our this one is going to be used if it's like a discount, or if it's like some sort of like a decrease in price, the price is going to decrease for that one is going to be for, like, a attacks or something like that or increase in price. So then, if we have a twenty percent discount, that means that we have to eat first used this one. So it's gonna be one minus your point, too, because twenty percent expressed in decimals is zero point to some day get zero point eight. So then we know that turtle not that she paid with p dollars, so P is equal to the initial times, the zero point eight and then times the mouth of the tax. So I'll tentatively put that in for now, But then we know that it's going to be an eight percent sales tax and sales tax makes the price of an item go up. So we have to use this equation. That's just gonna be one plus zero point zero eight because that's eight percent expresses the decibel, so it's just gonna be one point eight. And if I plug that into the tax, I got P physical to initial time zero point eight times one point eight. But since we wanted to know which one is the original price, we have to find a way to isolate the initial. So in order to do that, I'm gonna divide both sides by its your point h time and one point eight and then that allows us to cancel out this and this this and this and that. So we just have initial is equal to P over zero point eight times one point eight. Then that's gonna be D

The question tells us that a patio set originally cost $850 and its sale price was $480. Now the question asked us to find the amount of discount and the discount rate to find the amount of discount we need to subtract the sale price from the original cost. So $850 minus $480 gives us an amount of discount of $370. To find the discount rate. We divide the amount of discount by the original cost, so our amount of discount is $370 we divide that by the original cost of $850. And that gives us decimal zero point for 35 as a discount rate. However, discount rates are often written as percentages, so we want to comfort this decimal. Two a percent 0.435 is equal to 43.5% and that will be our discount rate

Have an algebraic problem which happens many, many, many times this book Super super important to know that the retail price B is greater than the wholesale price. W also presses what the store pays for something real tail prices, what the store sells it for. So, of course, this is gonna be greater. Otherwise stores wouldn't make any money. So the markup is how much money a store would make. In other words, the retail price minus the wholesale price. This would be like the net positive of what a store is taken home to make some profit. Now the percent is super super, super similar. You find this market price, but then you divide by the original wholesale price, so its be minus w over w. And this will give you the decimal. If you want to make it a percent, of course, we always have to multiply by 100 percent. And so this is technically the entire auto brake answer for primary for part B. There


Similar Solved Questions

5 answers
Problem 24.(4 points. Find the area between the curve y = fl) = ~r_ +4r ad above tle ~-axis _Problem 25.(4 points ) Find the ara under the curve ! f(r) e from T ~]to ,
Problem 24.(4 points. Find the area between the curve y = fl) = ~r_ +4r ad above tle ~-axis _ Problem 25.(4 points ) Find the ara under the curve ! f(r) e from T ~]to ,...
5 answers
2 the Ltr maximum Galcolus SHOW HINT you tolerance TEXT aniea N wouldZik like then Question what Show 16: the Work the xiaximuva for this Jvalvalue question: f(x)? Open_Show Work
2 the Ltr maximum Galcolus SHOW HINT you tolerance TEXT aniea N wouldZik like then Question what Show 16: the Work the xiaximuva for this Jvalvalue question: f(x)? Open_Show Work...
5 answers
Graph direction field and sketch solution curve passing through the given point: Solve the ODE exactly: v =%v"
Graph direction field and sketch solution curve passing through the given point: Solve the ODE exactly: v =%v"...
5 answers
Chapter 9, Section 9.4, Question 003Your answer is partially correct: Try again _For each given p-series, identify p and determine whether the series converges_ Enter the exact answers as improper fractions if necessary.(a)EditThe series converges(b)EditThe series diverges(c)EditThe series converges(d)EditThe series diverges
Chapter 9, Section 9.4, Question 003 Your answer is partially correct: Try again _ For each given p-series, identify p and determine whether the series converges_ Enter the exact answers as improper fractions if necessary. (a) Edit The series converges (b) Edit The series diverges (c) Edit The serie...
5 answers
Question 10Consider the function f(1) = -v2 sin(x) sin(2x) Find all x-intercepts of this function over the intcrval [0,2 #).0x=0,*=f*= 7'*= 3b) ox= % 4= 5 c) o*=0,x = K d) ox=0,x=I,X=35,x= 5
Question 10 Consider the function f(1) = -v2 sin(x) sin(2x) Find all x-intercepts of this function over the intcrval [0,2 #). 0x=0,*=f*= 7'*= 3 b) ox= % 4= 5 c) o*=0,x = K d) ox=0,x=I,X=35,x= 5...
5 answers
An unknown solution shows the following colors with the stated indicators: (pH ranges of indicators can be easily looked up)Methyl Violet: Thymol Blue: Bromphenol Blue Bromcresol Green: Methyl Red:Blue Yellow Green Yellow (slight green tint) RedEach_indicator test of the solution narrows the possible gange of pH for the solution i.e. pH<5) Determine the pH range for each indicator with the unknown, the identify the pH value of the unknown (nearest whole pH unit).
An unknown solution shows the following colors with the stated indicators: (pH ranges of indicators can be easily looked up) Methyl Violet: Thymol Blue: Bromphenol Blue Bromcresol Green: Methyl Red: Blue Yellow Green Yellow (slight green tint) Red Each_indicator test of the solution narrows the poss...
5 answers
Ordinary Differential Equation using Laplace Transform V +y=t y(0) =1,y(0) =-1
Ordinary Differential Equation using Laplace Transform V +y=t y(0) =1,y(0) =-1...
1 answers
Show that congruence of matrices (denoted by $\simeq$ ) is an equivalence relation; that is, (i) $A \simeq A$ (ii) If $A \simeq B,$ then $B \simeq A$ (iii) If $A \simeq B$ and $B \simeq C,$ then $A \simeq C$
Show that congruence of matrices (denoted by $\simeq$ ) is an equivalence relation; that is, (i) $A \simeq A$ (ii) If $A \simeq B,$ then $B \simeq A$ (iii) If $A \simeq B$ and $B \simeq C,$ then $A \simeq C$...
5 answers
Question 4 (3 points) Consider the data below. What percentage of students scored grade A? Grades Number of studentsTotal01) 37%2) 33%4) 31%18%
Question 4 (3 points) Consider the data below. What percentage of students scored grade A? Grades Number of students Total 01) 37% 2) 33% 4) 31% 18%...
5 answers
Q6) Find the solution u(x,4)u(t,1) -Laplace : equationthe unitcularc_ that satisfies the boundaryconditions describedthe right. (Hint: The eigenvalue problem 2" + AZ 0,2(0) 0,2(1) has cigenvalucs (nw)? and the corresponding eigenfunc4,(0.")Uzt"(1.0) 2 sin Tyu(z,0) - 0tions2,(~)sin(nzz) ,1,2.-
Q6) Find the solution u(x,4) u(t,1) - Laplace : equation the unit cularc_ that satisfies the boundary conditions described the right. (Hint: The eigenvalue problem 2" + AZ 0,2(0) 0,2(1) has cigenvalucs (nw)? and the corresponding eigenfunc 4,(0.") Uzt "(1.0) 2 sin Ty u(z,0) - ...
5 answers
Find an equation of the tangent to the curvea = 1+ Int, y = t2 +2 at the point (1,3).y = 2a ~1y = 2x + 1y = x - 1y = 3xy = % + 2
Find an equation of the tangent to the curve a = 1+ Int, y = t2 +2 at the point (1,3). y = 2a ~1 y = 2x + 1 y = x - 1 y = 3x y = % + 2...
5 answers
How many HOI - -negative integer solutions exist to the equations T1 + 12 + 13 = 12?
How many HOI - -negative integer solutions exist to the equations T1 + 12 + 13 = 12?...
5 answers
The sum of the measures of two complementary angles is 90* If one angle measures 15 € more than 2 times the measure of its complement; find the measures of the two angles:xty=909
The sum of the measures of two complementary angles is 90* If one angle measures 15 € more than 2 times the measure of its complement; find the measures of the two angles: xty=909...
4 answers
Label the parts of this figure
Label the parts of this figure...
5 answers
In a survey of 3005 adults aged 57 through 85 years, it was found that 81.7% of them used at least on prescription medication points) How many of the 3005 subjects used at least one prescription medication?Construct 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at lcast one prescription medication_
In a survey of 3005 adults aged 57 through 85 years, it was found that 81.7% of them used at least on prescription medication points) How many of the 3005 subjects used at least one prescription medication? Construct 90% confidence interval estimate of the percentage of adults aged 57 through 85 yea...
5 answers
Question 61Nuuront rumoval and banstonation on8 0 Tnue FalseMoat economically valuable ecosystem series salt marshos providu humana QUESTION 62numans what tne general functionpreniolar (eeth?bitingripping f0shgnndingtearing lough plant materialQUEsTion 63Which tho tollowing structurus do Aodent A Usa to suns0 Gluctromagnotic % ruli? omralidInKeetlne
Question 61 Nuuront rumoval and banstonation on8 0 Tnue False Moat economically valuable ecosystem series salt marshos providu humana QUESTION 62 numans what tne general function preniolar (eeth? biting ripping f0sh gnnding tearing lough plant material QUEsTion 63 Which tho tollowing structurus do ...

-- 0.019803--