1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Goshia [24]
3 years ago
5

A restaurant sells about 330 sandwiches each day at a price of $6 each $.25 decrease in price. 15 more sandwiches are sold per d

ay. How much should the restaurant charge to maximize daily revenue? Explain each step of your solution. What is the maximum daily revenue?
Mathematics
1 answer:
zmey [24]3 years ago
3 0

Answer:

restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

Step-by-step explanation:

to calculate current revenue= $6 x 330 = $1980

suppose x as the number of times the price to be dropped by $0.25

then find new price.. i.e

new price= $(6-0.25x)

and, new sell=330 +15x sandwiches

therefore, the new revenue would be= (6-0.25x)(330 +15x)

in order to maximize the current revenue, simplify the above equation and make it complete square using x

(6-0.25x)(330 +15x)

=1980-82.5x +90x -3.75x^{2}

=1980 + 7.5x -3.75x^{2}

=1980-3.75 (-2x+x^{2}) ----> taking out common

now, to make a complete square lets add and subtract 1 inside the parentheses

=1980-3.75(-1+1-2x+x^{2})

=1980 +3.75 -3.75(x^{2} -2x +1)

=1983.75 -3.75 (x-1)^{2}---->(1)

as (x-1)^{2} is positive always, minimize the other term in order to maximize the total revenue.

so the minimum possible value of (x-1)^{2} = 0

therefore, x=1

putting x in eq(1) the revenure becomes,

$(1983.75-0)=> $1983.75

therefore, restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

You might be interested in
Is this relation a function?
9966 [12]
Yes that is a function because every number has a pair that goes to each other once
5 0
3 years ago
Which is bigger 1/10 1/12
nasty-shy [4]
I'm pretty sure it's 1/10 because it is one out of ten instead of one out of 12 ya feel
7 0
3 years ago
Read 2 more answers
Larry has $150 in his bank account. He deposits $27 and then writes a check for $96
IgorC [24]

Answer:

$-4

Step-by-step explanation:

Your welcome

5 0
3 years ago
Read 2 more answers
Find the horizontal asymptote
eimsori [14]

Answer:

Correct answer:  h = 3/5  or y = 3/5

Step-by-step explanation:

Given:

h(x) = (3x² - 9x - 4) / (5x² - 4x + 8)

h = lim x -> ∞ (3x² - 9x - 4) / (5x² - 4x + 8) the numerator and denominator will be divided by x² and get

h = lim x -> ∞ (3 - 9(1/x) - 4 (1/x²)) / (5 - 4(1/x) + 8 (1/x²)

The terms 1/x and 1/x²  when x strives ∞ they strives 0

x -> ∞ ⇒ 1/x -> 0  and x -> ∞ ⇒ 1/x² -> 0

h = (3 - 0 - 0) / (5 - 0 + 0)

Horizontal asymptote is h = 3/5 or y = 3/5

God is with you!!!

5 0
3 years ago
Sally spelled 2 words incorrectly out of 20 spelling words on the test. What percent grade did Sally get on the test?
Tom [10]

Answer:

90%

Step-by-step explanation:

So Sally gets 18/20 of the questions correct then you need to make the denominator of the fraction to 100 which makes a percent. So you multiply both the numerator and denominator by 5:

90/100

which is equal to 90%

Hope this helps!

7 0
3 years ago
Other questions:
  • At what position on the number line is the red dot located?
    9·1 answer
  • 1.<br> What is the value of p – (–3.5) when p = 8.2?
    13·1 answer
  • 750 tickets were sold for a game for a total of $1,500.00. if adult tickets sold for $2.50 and children's tickets sold for $1.50
    7·1 answer
  • 11/5 divided by 51/4 equals
    12·1 answer
  • .07 x blank = $56,000,000what is blank
    10·1 answer
  • Nred help, this shape have 9 edges and 6 faces help?​
    11·1 answer
  • PLS ANSWER THE BELOW QUESTION AND I'LL MARK U AS BRAINLIEST
    11·2 answers
  • If something is burning and 20 acres a minute how many acers in burning a day
    12·1 answer
  • Translate this phrase into an algebraic expression.
    14·1 answer
  • Find the GCFl: 16x 3 y 2 , 28x 2 y
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!