Use Lagrange multipliers to give an alternate solution to the indicated exercise in Section 4.7. Exercise 18
Question:
Use Lagrange multipliers to give an alternate solution to the indicated exercise in Section 4.7.
Exercise 18
A box with a square base and open top must have a volume of 32,000 cm3. Find the dimensions of the box that minimize the amount of material used.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (7 reviews)
Let x y and z be the dimensions of the box The box has a square bottom so x y We wa...View the full answer
Answered By
Gaurav Soni
Teaching was always an area where I can pursue my passion. I used to teach my friends and junior during my school and college life. After completing my professional qualification (chartered accountancy) and before joining my job, I also joined an organization for teaching and guidance to my juniors. I had also written some articles during my internship which later got published. apart from that, I have also given some presentations on certain amendments/complex issues in various forms.
Linkedin profile link:
https://www.linkedin.com/in/gaurav-soni-38067110a
5.00+
7+ Reviews
13+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
Question Posted:
Students also viewed these Mathematics questions
-
A box with a square base and open top must have a volume of 32,000 cm3. Find the dimensions of the box that minimize the amount of material used.
-
Use Lagrange multipliers to give an alternate solution to the indicated exercise in Section 4.7. Exercise 24 A package to be mailed using the US postal service may not measure more than 108 inches in...
-
Use Lagrange multipliers to give an alternate solution to the indicated exercise in Section 14.7. Exercise 54 The base of an aquarium with given volume V is made of slate and the sides are made of...
-
An excise tax of $1.00 per gallon of gasoline placed on the suppliers of gasoline would shift the supply curve Multiple Choice O down by $1.00. down by more than $1.00. up by $1.00. up by less than...
-
Some Specialty stores prefer to locate to or close to an anchor store. But, Little Caesars, a takeout pizza retailer typically found in strip centres, wants to be at the end of the centre away from...
-
What are some of the reasons for poor decisions?
-
Read the article Why Incentives Are Irresistible, Effective, and Likely to Backfire at www.fastcompany.com/1140924/why-incentives-are-irresistibleeffective- and-likely-backfire (Heath and Heath...
-
Jessica Boland works for Sea Biscuit Co. She and Farah Smith, her manager, are preparing adjusting entries for annual financial statements. Boland computes depreciation and records it as Depreciation...
-
Aztec Company sells its product for $ 1 6 0 per unit. Its actual and budgeted sales follow. May ( Actual ) June ( Budget ) July ( Budget ) August ( Budget ) Sales units 3 , 0 0 0 5 , 0 0 0 4 , 0 0 0...
-
Ivey Company prepared the following budgeted income statement for the first quarter of 2016: Ivey Company is considering two options. Option 1 is to increase advertising by $ 1,000 per month. Option...
-
Use Lagrange multipliers to give an alternate solution to the indicated exercise in Section 4.7. Exercise 25 Find the point on the line y = 2x + 3 that is closest to the origin.
-
Use the Squeeze Theorem to find the limit. lim (x, y)(0, 0) xy x + y
-
Find 30% of 250. As a fraction 30% can be written as 30 100 which when simplified can be written as 3/10. The rectangle above is made up of 250 squares. It has been divided horizontally into tenths....
-
What is the value of a $1000 bond if the investors' required rate of return is 9.4%, and it has 11 years until maturity? The coupon interest rate is 8%, and is paid semi-annually. (Please round your...
-
3. (4 marks) A farmer wants to fence in a rectangular field. The farmer must use a different type of fencing for each pair of parallel sides of the field. One type costs $10 per metre, and the other...
-
What is the solution to the following system of equations? 3x + 2y + z = 7 5x+5y+423 3x+2y+32 1
-
Eagle Corporation operates Magnetic Resonance Imaging (MRI) clinics throughout the Northeast. At the end of the current period, the company reports the following amounts: Assets = $43,000;...
-
The transfer of heat across a composite wall designed for a system involving heat convec- tion process is shown in Figure 3. The inner wall is insulated. The heat generation with 1300 W/m is provided...
-
Tempe Chemicals refines a variety of chemicals for cleaning products. The following data are from the company's Greenville plant: Work in Process, May 1 ..........................................
-
Dawson Companys balance sheet information at the end of 2019 and 2020 is as follows: Additional information: The company did not issue any common stock during 2020. Required : Next Level Fill in the...
-
Consider a bacterial population that increases by a factor of r every hour, but 1.0 x 106 individuals are removed after reproduction. Find the equilibrium. What values of r produce a positive...
-
Consider the general model Mt+1 = (1 - )Mt + S for medication (Example 1.6.11). Find the loading dose (Example 1.6.7) in the following cases. = 0.2, S = 2.
-
Consider the general model Mt+1 = (1 - )Mt + S for medication (Example 1.6.11). Find the loading dose (Example 1.6.7) in the following cases. = 0.8, S = 4.
-
Using the same method, for the time period 1 , 1 . 1 , we have the following.
-
Calculate Earnings per Share (EPS): Requirements: With the given financial data: Net Income: $150,000 Weighted Average Number of Outstanding Shares: 75,000 Compute the earnings per share (EPS)....
-
XYZ Corp incurred total manufacturing costs of $800,000 during the month. These costs include direct materials, direct labor, and factory overhead expenses. If the beginning inventory was $150,000...
Study smarter with the SolutionInn App