5 Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) 0.1x - 1.6x + 6.504, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle? The shop should build bicycles.

5 Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) 0.1x - 1.6x + 6.504, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle? The shop should build bicycles.

Name: I put an example of how they want it to be solved from the program. Ak
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: I put an example of how they want it to be solved from the program. Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) = 0.1x2 - 1.6x + 6.504, where C(x) is in hundreds of dollar

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: You are given a real number N. How should you write it as a sum of two real numbers so that their…

Q: Tyler decided to open a bakery because everyone he knew told him that his baked goods were “out of…

Q: A company has $14,450 available per month for advertising. Newspaper ads cost $160 each and can't…

A: Step 1: Define the Objective FunctionThe objective is to maximize the number of ad exposures to…

Q: A hospital dietitian will prepare a corn and pumpkin dish that provides at least 3 grams of protein…

A: As you asked multiple questions so according to the rule I solved the first one only, please repost…

Q: Why is optimization important in programming?

Q: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant…

A: First we will construct a linear programming problem using the given informations and then we will…

Q: 3. The following Linear program is already in proper form. Clearly translate it to standard form.…

A: For convenience we take x=x_1, y=x_2 and z=x_3.

Q: A has $6,750 available per month for advertising. Newspaper ads cost $160 each and can't run company…

A: Given -A company has $6,750 available per month for advertising. Newspaper ads cost $160 each and…

Q: 1. One specific factory can manufacture two different sizes of mixers. They earn a profit of $102 on…

A: Given is problem on linear programming problem about two mixers and thir cost of production. To…

Q: he offers two products, turntables and cassette players. makes a profit of P300.00 on each…

A: Given that Garry Mornes assembles stereo equipment for sale in his shop he offers two products,…

Q: 6. x-12x +

A: given :x2-12x+__ (x+a)2=x2+2(a)(x)+a2

Q: 3. At Community Hospital, the burn center is experimenting with a new plasma compress treatment. A…

A: Sample sizes : n1=316n2=419 Patients with minor burns received the plasma compress treatment:…

Q: A company has $10,390 available per month for advertising. Newspaper ads cost $190 each and can't…

Q: In a road trip in california,Lisa saw a sign which made her laugh and take a picture. What is…

A: Consider the following data: Population=562Ft above sea level=2150Established=1951Total=4663

Q: 2) Describe the four (4) special cases in simplex application. Which of the 4 need revision of the…

Q: A company has $12,890 available per month for advertising. Newspaper ads cost $190 each and can't…

Q: A company has $7,730 available per month for advertising. Newspaper ads cost $120 each and can't run…

Q: ALT ALT FN New York is a "concrete jungle where dreams are made of." To this extent, a young upstart…

Q: Describe The Simplex Method.

A: The simplex method is an algorithm or the set of instructions using which we can examine the corner…

Q: | -30 ー1 I 60 1- 1. 1. -20

A: The given matrix,1-10000-3001-11-10000001-16000010-1010-1000-20

Q: (iv) (v) (vi) Use the simplex method to determine the Optimal Tableau. Identify the basic and…

Q: You know you have 5 pairs of sock in the laundry basket. You want a pair of matched socks but can’t…

A: To guarantee that you will get a matching pair of socks, you need to consider the worst-case…

Q: A person is ordered by a doctor to take 10 units of vitamin A, 9 units of vitamin D and 19 units of…

A: A person is ordered by a doctor to take 10 units of vitamin A, 9 units of vitamin D and 19 units of…

Topic Video

Question

I put an example of how they want it to be solved from the program.

Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x) = 0.1x2 - 1.6x + 6.504, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?
The shop should build bicycles.

Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is
given by C(x) = 0.2x2 – 2.3x + 10.357, where C(x) is in hundreds of dollars. How many bicycles should the shop
build to minimize the average cost per bicycle?
The function C(x) gives the average cost per bicycle when x hundred bicycles are made. Notice that this is a
quadratic function where the coefficient of x2 is positive. Therefore, the minimum value will occur at the vertex.
b
Find the x-coordinate of the vertex.
2a
Recall that the x-coordinate of the vertex of a parabola is
b
(- 2.3)
2a
2(0.2)
= 5.75
Remember that x represents bicycles, in hundreds. Determine how many bicycles are represented by x = 5.75.
5.75 • 100 = 575 bicycles
Thus, the shop should build 575 bicycles to minimize the average cost per bicycle.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

The gestation period of rabbits is about 29 to 35 days. Therefore the population of a form can increase dramatically in a short period of time. The table gives a population of a form we're tea is the time in months and then is the rabbit population.
Part three was incorect. I was told you cannot do the computatiopns without substituting in the T and F Values first. Can you do show me how to do it that way?
A tortoise and hare are competing in a 400-meter race. The arrogant hare gives the tortoise a 220-meter head start. When the start gun is fired, the hare begins running at a constant speed of 3.5 meters per second and the tortoise begins crawling at constant speed of 1.5 meters per second. Take out a piece of paper and read the above problem context again. You will prepare your written work and solutions on your own paper and upload it and the end of this question. Complete the problem solving process by: i. reading and re-reading the problem to identify the quantities in the situation; ii. making a drawing to represent the relevant quantities in the situation; iii. and defining the variable t to represent the number of seconds since the start of the race. a. Define a function f to determine the distance of the tortoise from the finish line in terms of the number of seconds, t, since the start of the race. Preview Solve f(t) = 0 and describe what your solution represents. t = Preview…
Q3- You may need to use the appropriate technology to answer this question. The product development group at Landon Corporation has been working on a new computer software product that has the potential to capture a large market share. Through outside sources, Landon's management learned that a competitor is working to introduce a similar product. As a result, Landon's top management increased its pressure on the product development group. The group's leader turned to PERT/CPM as an aid to scheduling the activities remaining before the new product can be brought to the market. The activity time estimates (in weeks) are listed in the following table. Activity Optimistic Most Probable Pessimistic A 3 4 5 B 3 3.5 7 C 4 5 6 D 2 3 4 E 5 8 11 F 8.5 9.5 13.5 G 4.5 6 7.5 H 6 7 14 I 2 2.5 6 J 4 5 6 (a) Develop an activity schedule for this project and identify the critical path activities. (Enter your answers as a comma-separated list.) (b) Based solely…
QUESTION 2 Jim wants to buy a computer. The total cost is $1,180. If he can save $60 a month, how long will it take for him to save up for the computer? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 14px !!
The following question is from a linear algebra course, please show it step by step with explanation: "Determine the area of the triangle in R2 with vertices:(−1, 4),(3, 2),(0, 1)."
briefly describe the steps involved in the new raphson method
A company has $11,270 available per month for advertising. Newspaper ads cost $180 each and can't run more than 21 times per month. Radio ads cost $570 each and can't run more than 34 times per month at this price. Each newspaper ad reaches 7200 potential customers, and each radio ad reaches 7800 potential customers. The company wants to maximize the number of ad exposures to potential customers. Use n for number of Newspaper advertisements and r for number of Radio advertisements. subject to Maximize P - 21 <34 <$11, 270 Enter the solution below. If needed, round ads to 1 decimal palace and group exposure to the nearest whole person. Number of Newspaper ads to run is Number of Radio ads to run is Maximum target group exposure is people
I keep getting these last two parts of this problem wrong, could someone show me how to solve it, please? (also, I know the third option for multiple choice isn't correct)