Answer:
optimal price = $35
Maximum profit = $3400
Step-by-step explanation:
We are given;
The annual fixed cost for the hominy harvesting and other equipment = $200
The variable cost per case = $20
Since demand is given as v, thus total variable cost = 20v
Thus;
Overall total cost = fixed cost + total variable cost = 200 + 20v
We are given relationship between p and v as;
v = 800 - 16p
Making p the subject gives;
p = (800 - v)/16
Now, total revenue is given by;
Total Revenue = vp
Thus;
Total revenue = v[(800 - v)/16] = 50v - v²/16
Now, profit will be;
Profit(P) = Total revenue - total cost
P = (50v - v²/16) - (200 + 20v)
P = 50v - (v²/16) - 200 - 20v
P = 30v - (v²/16) - 200
Maximum profit will be at dP/dv = 0
Thus;
dP/dv = 30 - (v/8)
At dP/dv = 0
30 - (v/8) = 0
v/8 = 30
v = 30 × 8
v = 240
Optimal price will be gotten by putting 240 for v in the price equation which is p = (800 - v)/16.
Thus;
p = (800 - 240)/16
p = 560/16
p = $35
So, optimal price = $35
Maximum profit will be at v = 240.so let's plug in 240 for v into the profit equation.
Thus;
P = 30(240) - (240²/16) - 200
P = 3400
Maximum profit = $3400
Candy's Sweets Company charges $1.15 per pound to ship candy.
Part A: Write an equation to determine the total cost, c, to ship p pounds of candy. Use your equation to determine the cost of shipping 2 pounds of candy. (6 points)
Part B: If the company reduces the cost to ship candy by $0.25 per pound, write an equation to determine the total cost, c, to ship p pounds of candy with the reduced cost. (4 points)
Answer:
Part A: c = 1.15p
c = 1.15(2) c = 2.30
Part B: c = 0.9p
c = 0.9(4) c = 3.60
Answer:
Part A: c = 1.15p; The cost of shipping 2 pounds of candy is $2.30.
Part B: c = 0.9p
Step-by-step explanation:
Part A:
$1.15 --- 1 pound
$1 --- 1.15 pounds
Replace the money sign with c (since c represents the total cost) and replace pounds with p (since p represents pounds of candy)
c = 1.15p
We can then use this equation to find the c (cost) for 2p (2 pounds).
c = 1.15(2)
= 2.30
Thus, the cost of shipping 2 pounds of candy is $2.30.
Part B:
$1.15 - $0.25 --- 1 pound
$0.90 --- 1 pound
$1 --- 0.9 pound
Replace the money sign with c (since c represents the total cost) and replace pounds with p (since p represents pounds of candy)
c = 0.9p
3/5 c = 9 what is the answer
Nate has $50 to spend at the grocery store. he fills his shopping cart with items totaling $46 at checkout he willhave to pay 6% sales tax on all items in the cart. Does he have enough money to buy everything in his cart?
Answer:
Yes
Step-by-step explanation:
This is becuase 46 x 1.06= 48.76, thats less than $50.
Answer:
yes
Step-by-step explanation:
tax will be $2.76 therefore it will come up to $48.76
Solve using substitution.
- x - y = -1
X = 2
Answer:
x = 2
y = -1
Step-by-step explanation:
-(2) - y = -1
add 2
-y = 1
divide by -1
y = -1
Mary is 3 years older than twice her brother's age, a. Which expression
represents Mary's age?
A. 2a + 3
B. 2a - 3
C. 3a + 2
D. 3a - 2
Answer:
C. 3a + 2
Step-by-step explanation:
brainiest plz
Deborah spent $70 on food and clothes she spent $26 more on clothes then on food Brighton solve a system of equations to find how much Debra spent on each
Answer:
Step-by-step explanation:
You know the total will be $70.
She bought food, let's call that "F"
She spent $26 more on clothes than food. So her clothes purchase is "F+26".
So let's set-up the equation this way:
food + clothing = Total Spent
F + F + 26 = 70
2F + 26 = 70 (subtract 26 from both sides of the = sign)
2F = 44 (Divide both sides so you find out how much was spent on "F" or food.)
F = 22 (But the question doesn't stop there.)
Deborah spent $22 on food. (Remember, she spent $26 more on clothes, so we have to use our "clothes" equation? ) Deborah spent $48 on clothes. She spent a total of $70 on her purchases.
6-3
Pleass helpppppp
Answer:
3
Step-by-step explanation:
-3 is 3
PLease help brainliest will be given If the mean of six nu m b e rs is 48, does one
of the nu m b e rs have to be 48? Explain
why or why not. Give an example with six
nu m b e rs to show your answer.
Which of the following exponential functions goes through the points (1, 12) and (236)
Answer:237 . 12
Step-by-step explanation:
pleas give me a BRAINLY pleas
Answer:
y = 4[tex](3)^{x}[/tex]
Step-by-step explanation:
For an exponential function in the form
y = a [tex]b^{x}[/tex]
Use the given points to find the values of a and b
Using (1, 12), then
12 = ab → (1)
Using (2, 36), then
36 = ab² → (2)
Divide (2) by (1)
[tex]\frac{36}{12}[/tex] = [tex]\frac{ab^2}{ab}[/tex] , then
3 = b
Substitute b = 3 into (1) for value of a
12 = 3a ( divide both sides by 3 )
4 = a
Thus
y = 4[tex](3)^{x}[/tex] ← is the exponential function
Tamara draws a tile from a bag and records the results. The bag contains tiles labeled with the letters, W, A, T, E, R, M, E, L, O, and N. Based on this information, which statement is true?
Answer:
These are the statements. I need help to
Step-by-step explanation:
She is 1.5 times less likely to draw a vowel than a consonant.
She is 1.5 times more likely to draw a vowel than a consonant.
She is twice as likely to draw a consonant as a vowel.
Drawing a vowel and a consonant are equal likely.
what is the answer to r - 4.5 < 11
Which of the following is closest to 1?
9/8
11/10
10/9
4/5
6/7
$16 for 4 books. How much would 12 books cost?
Answer:
$48
Step-by-step explanation:
you would first need to find what the cost of 1 book is so
16 divided by 4 is 4
so 1 book is $4
then you would need multiply the cost of one book by 12
so 4 times 12 is 48
so the cost would be $48
Answer:
192
Step-by-step explanation:
times
What is the vertex of the following: y=1/4x^2+2x+6
Answer:
Yea i definitly just lost brain cells
Step-by-step explanation:
What is the sum of 4.3943 and 5.4157?
A.9.71
C. 9.81
B.9.72
D.9.82
Answer:
9.81
Step-by-step explanation:
You have to add them up: 4.3943 +
5.4157
----------
9.8100
The scale factor of a model plane to the actual plane is 1 to 25.
Find the wing area of the model if the wing area of the actual plane is 300 ft2
.
Step-by-step explanation:
Length on model : Length on actual = 1 : 25
=> Area on model : Area on actual
= 1² : 25² = 1 : 625.
Therefore area on model = 300ft² * (1/625) = 0.48ft².
please help me<3
i will give brainliest to the right answer
Answer:
26.5
Step-by-step explanation:
Because the sales is $530 and the commission rate is 5%, the commission would be 5% of the sales, which would be $26.5
Which expression is equivalent to
-15163-3?Assume #w0D
Answer:
Second one.................
What is the solution to the system of equations?
Answer:
a
Step-by-step explanation:
a
The value of V-9 is not-3 because
Answer:
the answer is D
Step-by-step explanation:
√-9 ≠ -3
-3 ≠ √-9
(-3)² ≠ -9 ( proven )
9 ≠ -9
The value √-9 ≠ -3², option D is correct answer.
What is an imaginary number?An imaginary number is a number that, when squared, has a negative result.
Given an expression, √-9
√-9 ≠ -3
-3 ≠ √-9
(-3)² ≠ -9
9 ≠ -9
Hence, √-9 ≠ -3²
For more references on imaginary number, click;
https://brainly.com/question/6748860
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John made 3 out of 12 attempted baskets in the game. What percentage of the shots did he make?
Answer:25 percent
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
3/12 as a present is 25%
determine if the triangles are congruent, if so, state the theorem
Answer:
last
Step-by-step explanation:
Is Angle Angle Side bacause you have
two vertical angle ≅ (A)
two 90° angles ≅(A)
two sides given ≅ (S)
What is the GCF of 88 and 66?
Answer:
the GCF would be 22 this is because that is 88 and 66 greatest common factor (gcf)
Step-by-step explanation:
have a good day!!
Santiago starts a savings account with $20. Each month he deposits $15 more into the account. Santiago wants to save a least $80. Write an inequality that represents this situation.
Answer:
$20 + $15m ≥ $80
Step-by-step explanation:
He starts off with $20.
He adds $15 each month, so $15m.
He wants to save at least $80, which means greater than or equal to $80. So, you use this symbol: ≥
Put it all together.
$20 + $15m ≥ $80
Hope that helps.
Solve the equation.
S- (- 20) = 19
Answer:
s = -1
Explanation:
s − (−20) = 19
[ Simplify both sides of the equation ]
s + 20 = 19
[ Subtract 20 from both sides ]
s + 20 − 20 = 19 − 20
s = −1
- PNW
Help me out in this question please
Answer:
The answer is D
Step-by-step explanation:
Which multiplication problem does the model represent?
A- 1/8 times 2
B- 7/8 times 2
C- 1/2 times 4
D- 1/4 times 8
The correct answer would be D- 1/4 times 8
This is the correct answer because if you look at the model, it shows 2 blocks of 1, and then 8 blocks of 1/4, which both equal 2, and the model does not say anything about the top row, only the bottom, and after process of elimination, you would be left with 1/4 times 8
What's the midpoint between 3 and -5
Answer:
Step-by-step explanation:
just imagine you are on a number line and the numbers are
-5....-4.....-3.....-2....-1....0....1....2.....3
as you see the midpoint is -1
Explain whether △ABC is congruent to △XYZ according to the angle side angle (ASA) congruence criteria.
Answer:
∆ABC and ∆XYZ cannot be proven to be congruent to each other according to the Angle-Side-Angle (ASA) Congruence criteria.
Step-by-step explanation:
The Angle-Side-Angle (ASA) Congruence criteria says that two triangles are congruent to each other if two angles and an included side of one triangle is congruent to two corresponding angles and a corresponding included side of the other triangle.
In the diagram given, the two angles were given (<B and <C), however, the side given (side AB) does not lie in the middle of <B and <C, hence it is NOT AN INCLUDED SIDE. The same applies to ∆XYZ.
Therefore, ∆ABC and ∆XYZ cannot be proven to be congruent to each other according to the Angle-Side-Angle (ASA) Congruence criteria.
Can somebody help me out ?? please ..
CAN SOMEBODY HELP ME ASAP
For Cynthia's fourth lab report, she calculated the ratio of velocities before and after the impact of a basketball bouncing on a court. This measurement is called the coefficient of restitution. She got the following four values.
0.72
0.75
0.73
0.76
The accepted value is 0.77.
Cynthia's percent error was [blank]−−−−−−%.
Enter your answer as the number that correctly fills in the blank, rounded to two decimal places, like this: 42.53
Answer:
average of all four is 0.74 (add all 4 then divide by 4). take 0.77 minus 0.74. 0.03/0.77 times 100 = 3.8961% to two decimal places would be 3.90%