Answer:
Development costs: $2757
Promotion costs: $3155
Step-by-step explanation:
This might seem like a two-variable problem, but in actuality it's not - because the demand function is a sum of two components, each being independent and using only one variable, we can solve for the two separately.
Moreover, the price per unit and cost per unit is constant, so each product yields exactly $80 ($210 - $130).
Let's solve separately.
We need to maximize:
$80 * 160y/(y+4) - 1000y = $12800 * y/(y+4) - $1000*y
$80 * 170x/(x+7) - 1000x = $13600 * x/(x+7) - $1000*x
Let's go:
$12800 * y/(y+4) - $1000*y = $12800 * (1 - 4/(y+4)) - $1000y = $12800 - $51200/(y+4) - $1000*y
we analyze the derivative. $12800 is a constant, so we can skip it. Derivative of 1/(y+4) is -(y+4)^-2, derivative of $1000y is $1000.
deriv = $51200/(y+4)/(y+4) - $1000
We find the changepoints by analyzing $51200/(y+4)/(y+4) - $1000 = $0. We don't need to worry about y+4 = 0 because we cannot spend negative money on development/advertisement.
(y+4)^2 = $51.2
y+4 ~= 7.155417528 (or -y-4 = 7.1554... but it doesn't make sense because negative budget so we don't analyze).
y ~= 3.155417528
lastly, we should check that it's actually a maximum there - but it is, the original function goes to negative infinity.
rounding $1000y to the nearest dollar gives us $3155
Let's do the same for x:
$13600 * x/(x+7) - $1000*x = $13600 * (1 - 7/(x+7)) - $1000x = $13600 - $95200/(x+7) - $1000*x
deriv = $95200/(x+7)/(x+7) - $1000
$95200/(x+7)/(x+7) - $1000 = $0
(x+7)^2 = 95.2
(x+7) ~= 9.75704873412
x ~= 2.75704...
rounding $1000x to the nearest dollar yields $2757
Solve:
y = 4x
y = 19 - x
Answer:
15 is the answerof this question
Triangle XYZ is reflected across the y-axis, and X = (4, –5). What are the coordinates of X’ ?
(–5, 4)
(–4, –5)
(4, 5)
(–4, 5)
Answer:B
Step-by-step explanation:I looked it up, I don’t copy people’s answers ok don’t flame me in comments.
The coordinates of X in triangle XYZ after reflection across the y axis is X' = (-4, -5)
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation
If a point A(x, y) is reflected over the line y axis, the new point is at A'(-x, y).
Triangle XYZ is reflected across the y-axis, and X = (4, –5). Hence X' = (-4, -5)
Find out more on Transformation at: brainly.com/question/1462871
8y-5< 3
Solve the inequality. The solution is _____.
Answer:
Use Photo Math, it will explain all of the steps
2. Sara started out with $50 in her piggy bank. Every week she deposited the same amount of
money in the bank. After 7 weeks she had $67.50. Find the average rate of change or slope
in dollars per week. (This is a unit rate.)
Answer: 2.5 dollars/week
Step-by-step explanation:
50 + 7x = 67.50 x is the cost she deposited every week
7x = 17.5
x = 2.5
Which expression represents the distance between -3 and 5 on the number line?
- 3+5
-3-5
1-3+51
1-3-51
Answer:
B
Step-by-step explanation:
Which of the following values for x and y make the equation 4x + 2y + 3 = 19 true?
Someone please explain this it’s confusing me.
Answer:
x = 4 radical 3 / 3
Step-by-step explanation:
this is a 30-60-90 triangle
the side across from the angle 30 is L
the side across from the angle 60 is L√3
the side across from the angle 90 is 2L
we are given the side across from 60⁰ so we know that:
2 = L√3
we want to solve for L, so we must divide both sides by √3 (radical three)
2/√3 = L√3/√3
you would get 2/ √3 = L, because the radical three cancels out on the L side.
but you can't have a radical in the denominator, so you have to multiply 2/√3 by radical 3
2 times √3 and √3 times √3
you get 2√3/√9
radical nine can simplify
2radical3/3 or 2√3/3
we found L, but that would equal the thirty degree angle, not the 90, 90 = 2L
multiply the number infront of the radical by two and get
4√3/3
x=4 radical 3 divided by 3
What quantity of 61% hydrochloric acid solution must be mixed with a 21% hydrochloric acid solution to produce 277.5 mL of 53% solution?
Answer:
222 mL
Step-by-step explanation:
okay so lets multply them lets call the quantity of hydrocloric acid x
so 61x+ 21(277.5-x)= 53*277.5
61x+ 21*277.5-21x= 53*277.5
40x=(53-21)(277.5)
40x= (32)(277.5)
x= 222 mL
if my answer helps please mark as brainliest.
1. Marisol is making a pattern with blocks. What might the missing shape be? First, look at the blocks. ? Shape: 1 1 . 2 3 Next, describe Marisol's pattern.
Answer:
edwardrocks124531
Beginner
2 answers
4 people helped
Answer:
by butthole be icrhingggg jejdhows your day whether are you there bhdhx
Step-by-step explanation:
jshdhdjejsjdjdjfbfhdjdbfbid gregg tea r hurry dragon all see few free add gree d success butt ginn hwdohee fell woman woah bbjdndjdhdbdjfidheuhebdidbdndf
Step-by-step explanation:
7 David spent 2 2/5 hours reading on Saturday night. On Sunday, he spent 3 1/5 hours reading. How much time did he spending reading on Saturday and Sunday?* (10 Points) O 54/5 hours A 5 3/5 hours 6 hours 075/5 hours Next
Answer:
5 and 3/5
Step-by-step explanation:
For this problem, they are asking that we basically sum up the total amount of reading time on Saturday and Sunday. Saturday's reading time is 2 and 2/5, while Sunday's reading time is 3 and 1/5. Add them together to get 5 and 3/5.
HELP ASAP! I’m very confused and need help!
Answer:
I think it's 1 and 7 and 2 and 8.
Step-by-step explanation:
^^
24. On the coordinate plane to the right, graph
the inequality 2x +y >1.
Help fast pls
5th grade math. correct answer will be marked brainliest.
Answer:
The answer will be 41/14
Step-by-step explanation:
2.928571429
Find the sum: (n + 7) + (n - 14)
Answer:
2n - 7
Step-by-step explanation:
To get the sum you would combine like terms.
So:
n + n= 2n
7 + -14 = 7 - 14 = -7
Put it together:
2n - 7
PLEASE HELP HELP HELP IMAGE ATTAcHED
Answer:
is 3
Step-by-step explanation:
because look at the down the trigal and you will see that they pointing at the tree
Answer:
3
Step-by-step explanation:
P(1, 3) ⇒ P'(3, 9)
R(1, 1) ⇒ R'(3, 3)
Q(3, 1) ⇒ Q'(9, 3)
Looking at the points, it appears that the x and y coordinates are being multiplied by 3. Therefore, the scale factor is 3.
Help me guys please :(
HELP ME please this is due tomorrow
Answer:(12 cm) x (7 cm) x (6 cm) x 8.4 =
4.2336 liters
A truck can drive 200 kilometers on 25 liters of gasoline.
How many liters of gasoline do I need to drive 640 kilometers?
imut How many hours will it
What is the equation for this line, in Slope Intercept Form (6,1) and (2,-1)
Answer:
y=1/2x-2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-1)/(2-6)
m=-2/-4
m=1/2
y-y1=m(x-x1)
y-1=1/2(x-6)
y=1/2x-6/2+1
y=1/2x-3+1
y=1/2x-2
Logx(x-3)=1 solve for x
251.2 ÷ 1.2 round to nearest thousands
6TH grade math please help AP EX
Answer:
I think the 1st one would be 10...
Step-by-step explanation:
Because 12-2=10 and 18-8=10.
If I'm wrong, im super sorry
Please help! The question is above^
(Ignore the one already selected, it may not even be the right one)
build the graph of the equation (x-2)(y-3)=0
Answer:I don’t know the answer but something that always helps me is soupCalculator it will give you the answer and show you step by step
Step-by-step explanation:
Rick earned $24 for each car he washed. This month he washed 15 cars. He spent $85 of the money he earned this washing cars and saved the red of the money. How much money did Rick save from the he earned washing cars this month?
Answer:
$275
Step-by-step explanation:
If you multiply 24 by 15 you get the total which is $360. When you subtract the $85 he spent you get $275 left over that he is saving.
56 + -90 * 2 - -17 =
Answer: -1654
Step-by-step explanation:
Help a friend in need
a) 4.71ft
b) 3.53ft^2
Step-by-step explanation:
Perimeter is 1/2 the circumference
1/2 Circumference = 2*pi*radius
Radius = 1/2 Diameter
Radius = 3/2 = 1.5ft
Circumference = 2*pi*1.5ft = 9.42
1/2 Circumference = 4.71
4.71ft is the perimeter.
The area is 1/2 that of a full circle
A = pi*r^2
A = 3.14*1.5*1.5
A = 7.065ft^2
1/2 A = 3.53ft^2
Write 9/12 as a sum of unit fractions.
Answer:
9/12 = 1/2 + 1/4
Step-by-step explanation:
This can be done in an unlimited number of ways. Which you choose depends on what you are trying to achieve. Each way will get you the same sum. <33
can you write equivalent fractions for 2 1/5 and 1 and 5/6 using 30 of the common denominator
Answer:
yes they would be 1 25/30 and 2 6/30
Step-by-step explanation:
The equivalent fractions for 2 1/5 and 1 and 5/6 using 30 of the common denominator would be 1 25/30 and 2 6/30
What is a fraction?A fraction has two parts: Numerator and Denominator.
It is in the form of a Numerator / Denominator. A fraction is a numerator divided by the denominator.
We need to write equivalent fractions for 2 1/5 and 1 and 5/6 using 30 of the common denominator .
Now consider the first fraction as;
2 1/5 = 11/5
Then other fraction must be multiple of the denominator of the other.
So, 1 and 5/6 = 11/6
We can see that "the denominator of one is a multiple of the denominator of other" that is 5 x 6 = 30
Thus the two fractions are; 1 25/30 and 2 6/30
Learn more about fractions here:
brainly.com/question/10354322
#SPJ2
Solve for x. 20 points!
Answer:
x=-12
Step-by-step explanation: