AА companywishes to manufacture a box witha volume of 32 ft³ that is open onZwice as longtop and isas it iswide. Find the dimensions of the boxproduced from the minimum amountof material.(a) The function to be minimized is M(w),Where is the material and w is thewidth of the bottom.M (W) =(6) The dimensions of the box withminimum surface areaare

Given, Volume of box = 323 ft3 Length is twice of the width. Let, Length of the box = L Width of the…

Answered: A as it is wishes to manufacture a box…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.CR: Review Problem Set

Problem 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.

See similar textbooks

Similar questions

Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.
A manufacturer has determined that the total cost C of operating a factory is C = 0.5x² + 15 + 5000 where x is the number of units produced. At what level of production will the average cost per unit be minimized? (The average cost per unit is C/x.)
A closed rectangular box is made withtwo kinds of materials. The top and bottom are made withheavy-duty cardboard costing 20¢ per square foot, and thesides are made with lightweight cardboard costing 10¢ persquare foot. Given that the box is to have a capacity of2 cubic feet, what should its dimensions be if the cost is tobe minimized?
Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y)= 3/2x2+y2-8x-6y-2xy+159 where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semiskilled person. Find values of x and y that minimize the labor cost. Find the minimum labor cost. Labor cost will be minimized when x=______ and y=______ The minimum labor cost is $_______ (round to the nearest cent)
4) A manufacturer has determined that the total cost C of operating a factory is C = 0.5x^2 + 15x + 5000 , where x is the number of units produced. At what level of production will the average cost per unit (C/x) be minimized? Topic- critical points and applications
A manufacturer has determined that the total cost C of operating a factory is C = 1.5x2 + 45x + 15000, where x is the number of units produced. At what level of production will the average cost per unit be minimized? (The average cost per unit is C/x.) x=? units
At noon, ship A is 45 miles south of Ship B. Ship A is sailing north at a rate of 15 miles per hour. Ship B is sailing west at a rate of 15 miles per hour. When is the distance between the two ships minimized? In the field below enter the time at which the distance between the ships is minimal.
Joe owns a coin that is either a fair coin or a two-headedcoin. Imelda believes that there is a 12chance that the coinis two-headed. She must guess what kind of coin Joe has. Ifshe guesses correctly, she pays Joe nothing, but if sheguesses incorrectly, she must pay Joe $2. Before guessing,she may pay 30¢ to see the result of a single coin toss (headsor tails). Determine how Imelda should minimize herexpected loss. Also determine EVSI and EVPI.
A manufacturer has determined that the total cost C of operating a factory is C = 2.5x2 + 75x + 25000, where x is the number of units produced. At what level of production will the average cost per unit be minimized?

Recommended textbooks for you

Algebra for College Students

Algebra

ISBN:

9781285195780

Author:

Jerome E. Kaufmann, Karen L. Schwitters

Publisher:

Cengage Learning

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

Algebra for College Students

Algebra

ISBN:

9781285195780

Author:

Jerome E. Kaufmann, Karen L. Schwitters

Publisher:

Cengage Learning

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell

SEE MORE TEXTBOOKS