The point (4,3.5) is the maximum of the profit function.
A.Explain what the point (4,3.5) represents in terms of the context of the graph.
The function shown describes f(x), the cost (in hundreds of thousands of dollars) of making x bicycles (in thousands).
F(x)=1.25+0.35x
B.what is the cost to make 4,000 bicycles? Show your work.
Compare the slope of the cost function with the graph of the profit function.
C. Explain why the company should plan on making fewer than 4,000 bicycles.
Answers
Answer:
A. The point represents the turning point of the graph
B. The cost of making 4,000 bicycles is $265,000
The slope of the cost function, F(x) = 1.25 + 0.35·x, is less than the average slope of the graph of the total profit for sales
C. The company should plan on making fewer than 4,000 bicycles, to maximize profit
Step-by-step explanation:
A. The point represents the turning point after which increase in the x-coordinate values leads to a decrease in the y-coordinate values
B. The cost function is presented as follows;
F(x) = 1.25 + 0.35·x
Where;
F(x) = The cost in hundreds of thousands of dollars of making 'x' (in thousands) bicycles
x = The number of bicycles made in thousands
The cost of making 4,000 bicycles is given by plugging in x = 4(thousand) in F(x) = 1.25 + 0.35·x, as follows;
F(x) = 1.25 + 0.35·x
∴ F(4) = 1.25 + 0.35 × 4 = 2.65
Therefore, the cost of making 4,000 bicycles = 2.65 × $100,000 = $265,000
The slope of the cost function, F(x) = 1.25 + 0.35·x, is given by the coefficient of 'x' which is 0.35
The average slope of the graph of the profit function is ((3.5 - 0)/(4 - 0)) = 0.875
The slope of the cost function is less than the average slope of the graph of the profit function taken from the origin to the maximum point of the graph
C. When the company produces 5,500 bicycles, x = 5.5, we have;
F(5.5) = 1.25 + 0.35 × 5.5 = 3.175
The cost is 3.75 × $100,000 = $375,000 and the profit from te graph is $300,000
Therefore, the cost of making the 5,500 bicycles is more than the profit made in sales
The company should plan on making fewer than 4,000 bicycles, to reduce cost of producing more bicycles and to increase profit per unit of bicycle sold
Related Questions
One month, Ruby worked 6 hours more than Isaac, and Svetlana worked 4 times as many hours as Ruby. Together they worked 126 hours. Find the number of hours each person worked.
Answers
Answer/Step-by-step explanation:
Let x hours be the number of hours Issac worked
x+6 hours be the number of hours Ruby worked
4(x+6) hours be the number of hours Svetlana worked.
x + x + 6 + 4(x+6) = 126
x + x + 6 + 4x +24 = 126
6x +30 = 126
6x = 96
x = 16
Therefore, Issac worked 16 hours.
Ruby worked 16+6 = 22 hours
Svetlana worked 22 × 4 = 88 hours.
If helpful, please mark as brainliest! =)
Answer: Ruby: 22 hours, Isaac: 16 hours & Svetlana: 88 hours.
Step-by-step explanation:
Let's begin by assigning letters to represent our unknowns:
R (hours Ruby worked)
I (hours Isaac worked)
S (hours Svetlana worked)
Now let's see if we can express all three unknowns in terms of one unknown, according to the facts given in the problem:
R = I + 6 (Ruby worked 6 more hours than Isaac)
S = 4R (Svetlana worked 4 times more hours than Ruby)
We can see that we can express the hours Isaac worked in terms of Ruby:
R = I + 6, therefore, I = R - 6
Now we have all three unknowns expressed in terms of one unknown (R). Now we can write an equation to express the given sum of their worked hours (126) in terms of our expressions for one unknown (R):
R + (R - 6) + 4R =126
Now let's solve our equation for the value of R and then use our expressions for R to calculate the values for I and S:
R + R - 6 + 4R = 126
6R - 6 = 126
6R = 126 + 6
6R = 132
R = 132/6
R = 22 (hours Ruby worked)
I = R - 6
I = 22 - 6
I = 16 (hours Isaac worked)
S = 4R
S = 4(22)
S = 88 (hours Svetlana worked)
select the correct button in the table to show whether each statement about the graph below is true or false
Answers
Answer:
True false true
Step-by-step explanation:
I think so
HELP need more help giving brainless and 15 points
Answers
Answer:
c
Step-by-step explanation:
1 1/2 x1 1/2 x1 =2 and 1/4
2 and 1/4 x 8=18
small brainnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
Answers
Answer:
combined means to add so you are going to add anything over 1 because it says longer than 1
1 1/4 has 2 marks so you add 1 1/4 + 1 1/4 =
they have like denominators so you can add them together
1 + 1 = 2 and 1/4 + 1/4 = 2/4 which can be reduced to 1/2
so your answer is 2 1/2
karen bought 8 pounds of fruit to make 3 equal-sized fruit salads. What is the weight of each fruit salad?
Answers
Answer:
2 2/3
Step-by-step explanation:
which value of x satisfies the equation below? 4x-7+25
Answers
Answer: =4x+18
Step-by-step explanation:
Let's simplify step-by-step.
4x−7+25
=4x+−7+25
Combine Like Terms:
=4x+−7+25
=(4x)+(−7+25)
=4x+18
Answer:
=4x+18
Find the missing lengths
Answers
Answer:
5 root 2 for both
Step-by-step explanation:
y=x= 10/root two
= 5 root 2
if my answer helps please mark as brainliest.
Answer:
x = 5*sqrt(2)
y = 5*sqrt(2)
Step-by-step explanation:
Because the triangle is a 45-45-90 triangle, 10 is equal to x * sqrt(2) and x = y.
x = 10 / sqrt(2)
When simplified:
10 / sqrt(2) = (10 * sqrt(2)) / 2 = 5 * sqrt(2)
I need help with this
Answers
Answer:
B
Step-by-step explanation:
It's B
3^5 = 243
so the 5th root of 243 is 3
(x^7)^(1/5) = x^(7/5)
(y^10)^(1/5) = 7 ^(10/5) = 7^2
z^(21)^(1/5) = z^(21/5)
Consider the following equation.
x – 0.32x = 0.68x
Which of the following statements matches the mathematical equations?
Question 5 options:
a) Decrease a number by 0.32 is the same as multiplying by 0.68.
b) Decrease a number by 32% is the same as increasing by 68%.
c) Decrease a number by 0.32 is the same as multiplying by 0.32.
d) Decrease a number by 32% is the same as multiplying by 68%.
Answers
Answer:
d) Decrease a number by 32% is the same as multiplying by 68%Step-by-step explanation:
Given equation:
x - 0.32x = 0.68xOptions (4 of them given)
a) Decrease a number by 0.32 is the same as multiplying by 0.68.
x - 0.32 = 0.68x ⇒ 0.32x = 0.32Incorrectb) Decrease a number by 32% is the same as increasing by 68%.
x - 32% = x + 68% ⇒ 0 = 100%Incorrectc) Decrease a number by 0.32 is the same as multiplying by 0.32.
x - 0.32 = 0.32x ⇒ 0.68x = 0.32Incorrectd) Decrease a number by 32% is the same as multiplying by 68%
x - 32% = 0.68x ⇒ x - 0.32x = 0.68x ⇒ 0.68x = 0.68xCorrectthis is so confusing someone please help me out
Answers
[tex] \huge \purple{\tt{Answer:}} [/tex]
step 1 is wrong . The 1st step should be 15² - 9² = c² .
Answer: step A
Step-by-step explanation:
The Pythagorean theorem is a^2+b^2=c^2, where c is always the hypotenuse (the longest side of the triangle). Step A is written as 9^2(thats the a value squared)+15^2(which is the hypotenuse value squared)=c^2. It should be: 9^2+b^2=15^2
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answers
Answer:
13
Step-by-step explanation:
Write and expression for the calculation add 9 to the product of 4 and 5
Answers
Answer:
5×4+9
Step-by-step explanation:
The product of something means to multiply, so you would multiply 5 and 4 together.
Then you would add 9 to that.
y = -3x + 1
4x + y = 3
Eions?
What is the solution to the system of equations
Answers
Answer:
(2, - 5 )
Step-by-step explanation:
Given the 2 equations
y = - 3x + 1 → (1)
4x + y = 3 → (2)
Substitute y = - 3x + 1 into (2)
4x - 3x + 1 = 3
x + 1 = 3 ( subtract 1 from both sides )
x = 2
Substitute x = 2 into (1) for corresponding value of y
y = - 3(2) + 1 = - 6 + 1 = - 5
solution is (2, - 5 )
AC =
Round your answer to the nearest hundredth.
Answers
Answer:
the answer is 1.88 using cosine =adj/hyp
Someone help me please only 7, 8, and 9 thank you
Answers
7. 13.2 m
8. 44 in
9. 50.3 cm
6th grade math help me pleaseeee
Answers
Answer:
T I hope this helps:D
PLEASE HELP ME I WILL DO ANYTHING!!!
Answers
Answer:
x=11
Step-by-step explanation:
the angles shown are supplementary so they will add up to equal 180 so we write the equation 180=5x+10x+15 and solve for x
step 1 combine like terms
180=15x+15
step 2 subtract each side by 15
165=15x
step 3 divide each side by 15
x=11
can anyone help me with life?
I just need to talk to someone!
Answers
Answer:
You can talk to me
Step-by-step explanation:
Answer:
sure
Step-by-step explanation:
I multiply three positive integers that are greater than 1 and get 333. Find one of the numbers.
those who answer first will be marked brainliest !
Answers
Answer: 3, 37
Step-by-step explanation:
Divide by 3, divide by 3 again. 37 is a prime number, so it can't be divided again after that.
Please do at least one of them if someone already did one do the other :D
Answers
Answer:
LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right, good luck on getting the question right! because i got it right for my homework!
Step-by-step explanation:
Find the y-intercept and write as a point (x, y)
Answers
Answer:
(0,3)
Step-by-step explanation:
Answer:
The two points- (0,3) (-2,-1)
The y-intercept is (0,3)
The slope is 2
Which equation is NOT equivalent to p- 7 = 22? Select all that apply.
A. p-p-7 = 22-p
B. p-7-p = 22 -
C. p - 7 + 22 = 22 - 7
O
D. p - 7 + 7 = 22 - 22
Ep-7 + 7 = 22 +7
Answers
Answer:
c and d
Step-by-step explanation:
i hope this help
PLEASE HELP::::::: Triangle PQR has medians QM and PN that intersect at Z. If ZM= 4, find QZ and QM
HELP HELP
Answers
Answer:
value of QZ = 8 units and QM = 12 units.
Step-by-step explanation:
Given: In triangle PQR has medians QM and PN that intersect at Z.
If ZM = 4 units.
In the figure given below; second median divided the two triangles formed by the first median in the ratio 2:1.
We have to find the value of QZ and QM;
QZ:ZM = 2: 1
⇒
Substitute the value of ZM =4 units and solve for QZ;
Multiply both sides by 4 we get;
Now, calculate QM;
QM = QZ+ZM = 8 + 4 = 12 units.
Therefore, the value of QZ and QM are; 8 units and 12 units
what complex numbers graph is shown?
Answers
Answer:
D.
Step-by-step explanation:
Took the test
Find the sum of 0.333......and 0.444....
Answers
Answer:
0.777......
Step-by-step explanation:
0.333...... + 0.444......
= 0.777......
Hope it helps :)
Please mark my answer as the brainliest
Step-by-step explanation:
The sum of 0.333.... and 0.444... is 0.777......
The enrollment at Temple Junior High School has a change of ─ 60 over a 3 year period. What is the average change per year?
Answers
Answer:
- 20
Step-by-step explanation:
Total Change in enrollment = - 60
Period of time at which change occurred = 3 years
Average change per year :
Total change in enrollment / period at which change occurred
= - 60 / 3
= - 20
Average change of - 20 enrollments per year
what figure is this?
Answers
Answer:
triangular prism
Step-by-step explanation:
(urgent please help!!!!)in computing the mean of 8 numbers, a student mistakenly used 17 instead of 25 as one of the numbers and obtained 20 as the mean. find the correct mean.
Answers
Answer: 21
Step-by-step explanation:
The student's mean of the 8 numbers is 20; the total of the numbers will be
8 x 20 = 160
If we take out the 17 the total will be 160 - 17 = 143
If we then replace the 17 with 25 the total rises to 168.
168 divided by 8 = 21
"Dan" uses 2/3 cup of brown sugar and 1/4 cup of white sugar to make oatmeal bars. How many cups of sugar does he use in all?
Answers
Answer:
the number of cups of sugar he use in all is [tex]\frac{11}{12}[/tex]
Step-by-step explanation:
The number of cups does he use in all as follows:
= Brown sugar + white sugar
[tex]= \frac{2}{3} + \frac{1}{4}\\\\= \frac{8 + 3}{12} \\\\= \frac{11}{12}[/tex]
Hence, the number of cups of sugar he use in all is [tex]\frac{11}{12}[/tex]
if + means × and - means ÷ and × means + and ÷ means - find 6÷8-2+5×20=
Answers
Answer: C. 6
Step-by-step explanation:
Rephrase the expression
6÷8-2+5×20
6-8÷2×5+20
Do division
6-4×5+20
Do multiplication
6-20+20
Do subtraction
-14+20
Do addition
6
Hope this helps!! :)
Please let me know if you have any questions
Answer:
(C) 6
Step-by-step explanation:
Have a great day