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alina1380 [7]
3 years ago
15

The price-demand equation for hamburgers at a fast food restaurant is given by the equation below. Currently the price of a hamb

urger is $4.50. If the price is
increased by 20% how will the revenue be affected?
x+500p = 3500
If the price is increased by 20%, the revenue will
Click to select your answer(s)
Mathematics
1 answer:
Hitman42 [59]3 years ago
6 0
<h3>Answer: Revenue decreases by 23.2%</h3>

==========================================

Work Shown:

x = demand

p = price

Solve for the demand x when the price is p = 4.50 dollars.

x+500p = 3500

x+500(4.50) = 3500

x+2250 = 3500

x = 3500-2250

x = 1250

If the price is $4.50, then the demand is 1250 (ie 1250 people will want a hamburger)

-------------

Compute the revenue

Revenue = (price per item)*(number of items sold)

Revenue = p*x

Revenue = (4.50)*(1250)

Revenue = 5625

If the price per burger is $4.50, then the revenue is $5,625.

-------------

Let's increase the price by 20%. To do this, multiply by 1.20

1.20*4.50 = 5.40

The price of the burger is now $5.40

Let's see what x will become after we plug in p = 5.40

x+500p = 3500

x+500(5.40) = 3500

x+2700 = 3500

x = 3500-2700

x = 800

The demand has dropped to 800

-------------

Next compute the new revenue

Revenue = (price per item)*(number of items sold)

Revenue = p*x

Revenue = (5.40)*(800)

Revenue = 4320

The revenue is now $4,320

-------------

Lastly, find the percent change from the old revenue ($5,625) to the new revenue ($4,320)

A = old value = 5625

B = new value = 4320

C = percent change from A to B

C = 100*(B-A)/A

C = 100*(4320-5625)/5625

C = 100*(-1305/5625)

C = 100*(-0.232)

C = -23.2%

The negative C value indicates a percent decrease.

<h3>Revenue has decreased by 23.2%</h3>
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slega [8]
2(4x-3) ≥ - 3(3x) + 5x

2* 4x - 2*3 ≥ - 9x + 5x

8 x - 6 ≥ -4x

8 x + 4 x ≥ 6

12 x ≥ 6

x = 6/12 divide 6/6 = 1 and 12 / 6 = 2

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hope this helps!
4 0
2 years ago
Marina spent $13.50 at the grocery store. She bought pears, kiwis, and pineapples. Pears cost $0.50 each, pineapples cost $1.50
kiruha [24]

Answer:

Number of pineapples = 10

Number of pears = 10 + 9 = 19

Number of kiwis = 10 - 2 = 8

Step-by-step explanation:

Money = $ 13.5

Cost of a pear = $ 0.5

Cost of a pineapple = $ 1.5

Cost of a kiwi = $ 0.3

let the number of pineapple = p  

Number of pears = p + 9

Number of kiwis = p - 2

Cost is

0.5 (p + 9) + 0.15 p + 0.3 (p - 2) = 13.5

0.5 p + 4.5 + 0.15 p + 0.3 p - 0.6 = 13.5  

0.95 p = 9.6

p = 10

So, number of pineapples = 10

Number of pears = 10 + 9 = 19

Number of kiwis = 10 - 2 = 8  

4 0
3 years ago
Read 2 more answers
A stockbroker has kept a daily record of the value of a particular stock over the years and finds that prices of the stock form
amid [387]

Answer:

$12.43

Step-by-step explanation:

Given :

Mean = $8.52

Standard deviation, = $2.38

Stock price which falls beyond 0.05 of the distribution is at the 95th percentile

The 95th percentile distribution has a Pvalue of 1.645 (standard normal table)

We obtain the value of x, with z = 1.645

Using the Zscore relation :

Zscore = (score - mean) / standard deviation

1.645 = (score - 8.52) / 2.38

Cross multiply :

1.645 * 2.38 = score - 8.52

3.9151 = score - 8.52

Score = 8.52 + 3.9151

Score = $12.4351

Stock price beyond 0.05 is $12.43

8 0
2 years ago
Which expression has a quotient of about 7
Naily [24]

Answer:

H (36 / 5)

Divide each of the numbers and see which one is closest to seven

8 0
2 years ago
Could i please get this by today?
aleksley [76]

Answer:

ex.1: 9000$ ex.2: The only way it would work is 9x(-9)= -18+5= -13. ex.3: around 4 hours ex.4: I'm so sorry, I don't understand that. I failed you on that one someone else can answer it ex.5: 149 lbs.

Step-by-step explanation:

Ex1: Is he earns 1/6 of his sales, then it's 1500x6, which is 9000$.

Ex2: Shown in answer.

Ex3: !60+38=198+18=236+38=312.

Ex4: :'(

Ex5: Ruby is 3 lbs less than half her mom's weight, so it would be 76x2=152, then 152-3=149.

4 0
3 years ago
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