A closed rectangular box with a volume of 16 ft is made from two kinds of materials. The top and bottom are made of material costing 10 pesos per square foot and the sides from material costing 5 pesos per square foot. Find the dimensions of the box so that the cost of materials is minimized.

A closed rectangular box with a volume of 16 ft is made from two kinds of materials. The top and bottom are made of material costing 10 pesos per square foot and the sides from material costing 5 pesos per square foot. Find the dimensions of the box so that the cost of materials is minimized.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 40E: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in....

See similar textbooks

Related questions

Q: 101 Jzy cosu(x) + sinh(x)

A: Given differential equation:d2ydx2-y=coshx+sinhxTo find: General solution. Note:1 coshx=ex+e-x22…

Q: Describe how to find the inverse of a one-to-one function. Choose the correct answer below. O A.…

A: We want to find the true option.

Q: Give example open set is compact

Q: Solve the third-order initial value problem below using the method of Laplace transforms. y''…

A: The given initial value problem is…

Q: Q4/ Find the value of the following: cos (tan-1 1) 1) sin (sin-) 2) 3) tan - (cos n) 4) cos(sin)

Q: 5. Find all the zeroes of the function f(x) = - 0.5x + 2.5 x+ 4.5 using False Position Method…

Q: Let X be the graph of f(x) = x-1s given below

A: Sol

Q: At what time between 8 and 9 o'clock will the minute hand coincide with the hour hand? A. 8:42.5…

Q: 2z2 - z+1 3. Evaluate J.E- 1)2(z+1) dz for T below. |

Q: Is there any n n for which U2n = Dn?

Q: Solve for the volume of the solid generated by rotating the plane bounded by the equations below…

A: The volume of solid of revolution about y-axis of y=fx and y=0 for x∈a,b is: V=∫ab2πx fxdx Now, we…

Q: 1) Evaluate the following integrals a. - 1)6(t)dt

Q: Determine the exponential function given the graph. A y (0, –1) (-1, –5) F(x) = (5) " A - 2 B f(x) =…

Q: Q3) Solve the Following one -dimensional wave equation utt - Uxx+u = 0 for The boundary conditions…

Q: Let X be the graph of f(r) = r/ given below that is, X is the subset of R x R satisfying the given…

A: Sol

Q: Solve for the volume of the solid generated by rotating the plane bounded by the equations below…

A: Given that, y=fx=12πe-x22 and y=0, x=0, and x=1 The region bounded by the curves is shown in…

Q: Consider the differential equation (10x*y4 +e-y + 3 sin(4x + 3y))y' + (6x²y³ + 4sin(4x + 3y) + 2) =…

A: Exact differential equations

Q: The half Tunctión of the Fast Fourier transform algorithm is given by: F(u) = [F.n (1) - Fta (1)]…

A: Solution

Q: 1. Use Green's theorem in order to compute the line integral $ (3cos + 6y?) dx + (sin(5") + 16x³) dy…

A: Here the given integral is ∮C3cosx+6y2dx + sin5y+16x3dy

Q: Let X = R? – (0,0) and - be defined over X by setting X~y + y = tx for some non-zero t e R. (b)…

A: Sol

Q: The ratio of employed manufacturing engineers to mechanical engineers in industrial company is 7 to…

Q: .3 the 2²+y²+xy x = 1 and y =

Q: Solve for the volume of the solid generated by rotating the plane bounded by the equation x2 below…

A: Sol

Q: (a) Is f a well defined function? (b) Is f one-to-one? (c) Is f onto?

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem.…

Q: (x)= e°2× (x-1) us

A: Here The second method gives the correct result for an initial guess of less than one.

Q: consider the following Normal form game : R G A 5,10 |5, 3 E 3,4 N |1,4 1,2 7,6 M4,2 |8,4 3,8 D2,4…

A: Sol

Q: Consider the following IVP: y"-3y'+2y = e3t; y(0) = 0, y'(0) = 0 Find the general solution. y(t) 31…

Q: 2) Water is pouring into an inverted cone at the rate of 8 cubic me- ters per minute. If the height…

A: Given that Height of cone h=12 m radius of its base r=6 m rate of pouring water into cone dVdt=8 m3

Q: B. Find the root of cos(x)-xe¬* using the Newton-Raphson method.(Use radians in solving)

Q: Answer the following muitiple-chaice question below algubra #7. u,V, and ware vec tors in IK'.If Tlu…

Q: 5s2-2s-19 7. F(s) %3D (s+3)(s-1)²

A: Properties of Inverse Laplace transform…

Q: A living room is 7.2 m long and 4.5 m wide. What size would it be on a plan drawn to a scale of…

A: This is a problem of counting.

Q: Find the Laplace Transform of (t2 +4t + 2)e3t 4 2 4 (A) (s - 3)3 (s - 3)2 3 2 4 2 (B (s - 3) 3 (s –…

Q: Prove that the sequence 1 f(1n) j(zn) 2 f(In) F(x,) ' f(r,) 1 with Xn+1 = n an = %3D an is cubically…

A: Sol

Q: Answer the followng muitiple-chaice awestion below algebra S-24 #16. W = d.s are real numbers Then a…

Q: 3. Find the Taylor series expansions of 10x5+5x³ – x³ centered at a = 4

A: Introduction: Taylor series is a power series representation of a real-valued function. The…

Q: Solve the problems below: 1. Find the positive real root of f(x) = x* - 8x²-35x² + 450 x - 1001…

Q: Q1/ Graph the following functions (choose 2 only) 1) y = 4 sin x 2) y = cot x 3) y = csc x

A: (1) Calculate a table of points for y=4sinx taking the values of x as 0, π2, π, 3π2, 2π. x y 0…

Q: use Euler me thud to solve y's 3x²+y h=0.25

Q: Consider the ceiling function [æ] = min{z € Z\z > a}. This basically rounds up any real number. For…

A: To show that limx→2x does not exist.

Q: Find the value of X and Y in given that; 1 - 2y 4 7 2 2 - 2x 4 - 5 I3D 3. 2.

Q: e following equation: + (xe"Y + 2y)dy =

Q: Verify that Stokes' Theorem is true for the vector field F 6yzi – 3yj + rk and the surface S the…

A: given vector field F=6yzi^ -3y j^+x k^ and the surface S the part of the paraboloid z=18-x2-y2lies…

Q: 5s2-2s-19 7. F(s) = (s+3)(s-1)2

A: We have to find the inverse Laplace transform of given F(s).

Q: A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the wood to…

A: From the given information, the length, width and height is 3 ft, 4ft, 5ft respectively. The given…

Q: 15. E-Commerce For online store sales, the payment processing service Square charges 2.9% of the…

A: A system of m×n numbers arranged in the form of a rectangular array having m rows and n columns is…

Q: herz Evaluate the fultowing carteSian integrats by changing them inte equivalent Pelarintegrals:…

Q: Jse Green's Theorem to evaluate F• dr. (Check the orientation of the curve before applying the…

Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

A: Integration using Greens theorem

Q: A coin is loaded so that the probability of a head occurring on a single toss is 5/6. In three…

Question

I REPEAT. TYPEWRITTEN ONLY ANSWERS DO NOT ANSWER IF YOU ALREADY ANSWERED THIS. DO THIS TYPEWRITTEN ONLY. I'LL UPVOTE DOWNVOTE IF HANDWRITTEN THANK YOU.

2. A closed rectangular box with a volume of 16 ft is made from two kinds of materials. The top
and bottom are made of material costing 10 pesos per square foot and the sides from material
costing 5 pesos per square foot. Find the dimensions of the box so that the cost of materials is
minimized.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each side of each regular polygon measuring 4.5 cm, the area of each regular pentagon is 34.9 cm2 and area of each regular hexagon is 52.5 cm2. a What is the surface area of the soccer ball? b If the material used to construct the ball costs 0.8 of a cent per square centimeter, what is the cost of the materials used in construction?
If the radius length of one sphere is three times as long as the radius length of another sphere, how do the surface areas of the spheres compare? How do the volume compare?
Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?
When the length of each edge of a cube is increased by 1 cm, the volume is increase by 61 cm3. What is the length of each edge of the original cube?
As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in. are cut from the corners of a rectangular piece of poster board that is 20 in. wide by 30 in. long. Kristine creates an open box by cutting congruent squares from the four corners of a square piece of cardboard that has a length of 24 in. per side. If the congruent squares that are removed have sides that measure 6 in. each, what is the volume of the box formed by folding and sealing the flaps?
Zaidah plans a raised flower bed 2 ft high by 12 ft wide by 15 ft long. The mulch, soil, and peat mixture used to fill the raised bed costs 15.75 per cubic yard. What is the total cost of the ingredients used to fill the raised garden?