Multiple optimum solution corner point B == (0, 8). The value t == 32, which is the maximum value of Z.2 gives the point (4, 6). Notice that aNow Work Problem 13. МаximizeZ = 14x + 21y||subject to2x + 3y < 12x + 5y < 8х, у > 0. Minimize Costtherton and Berkeley and warehouses in Concord and Dublin.ost of delivering a car is $60 from Concord to Atherton, $45 foncord to Berkeley, $50 from Dublin to Atherton, and $35 freublin to Berkeley. Suppose that the showroom in Atherton oreven cars and the showroom in Berkeley orders four cars. Supso that the warehouse in Concord has six cars and the warehDublin has eight cars available. Find the best way to minimst, and find the minimum cost. (Hint: Let x be the number celivered from Concord to Atherton and y be the number of caelivered from Concord to Berkeley. Then 7 – x is the numbers delivered from Dublin to Atherton and 4- y the numberduliuanad from Dublin to Berkelev.)Suppose a car dealer has showrooms in

This is the simple problem based on linear programming problems (multiple optimum) which could be…

Answered: Мaximize Z = 14x + 21y subject to 2x…

Math

Algebra

Мaximize Z = 14x + 21y subject to 2x +3y < 12 x + 5y < 8 x, y > 0

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 17EQ

See similar textbooks

Related questions

Q: . Find out optimum solution of the following LPP. Max Z= 2X + 5Y Subject to: 6X + 5Y

Q: 2y" +2y=2sinx y(0)=0, y'(0)=1

A: Solution y=CI+PI CI=Characterstic integral PI=Particular Integral P.I=sin xD2+1Let D2=-α2so…

Q: 2 X+y +Z=lo Gouss eleminahin 3 X+ 2Y4 32=18 X +uy+ 9Z= 16 ماركة العرض من قبال

Q: Solve Ytt = = 4yxx 0 0 Yx(0, t) = 0, Yx(1, t) = 0, Y (x, 0) = 0, y(x, 0) = 3cos(2nx)

Q: Obtain the general solution. xy3dx+ex^2dy=0

A: The given differential equation is xy3dx+ex2dy=0. We have to obtain a general solution.

Q: particular

A: We find particular solution.

Q: Solve by Graphical Method Max z=2x+4y Subjected to 3x+4y0

Q: Find y' by implicit dif ferentiation for 2y³+4x² –y = x6 . 6x5- 8x y '=- 6y2 – 1 A 6r5 + 8x B 6y2– 1…

A: Given, 2y3+4x2-y =x6 We have to find y' by using the implicit differentiation.

Q: X1, X2 2 0 12. Minimise Z = 60x1 + 80x2 bo Subject to 20x +30x2 2 900 40x1 +30x2 2 1,200 X1, X220 LO…

Q: Find ax dy x-2–1 given y = 2x3

Q: . Show that y x2 2 (xyz)(x – y)(y – z)(z - x) N N

Q: x – 5y = -4x - 2y %3D II at x -3.

A: Simplification of the equation helps to find the required function value. Substitution of the point…

Q: Resuelva yDx - 2(x+y) Dy=0 O x² + 2y = cy² Ox+2=cy² O x + 2y = cy² Ox+2y=c

A: Given differential equation y D x-2(x+y) D y=0 The objective is to solve the differential equation.

Q: 8. Show that y = x° + 3x +1 satisfies y" + xy" – 2y' = 0.

Q: 6. Find the domain of y = Vx+ 4x + 5x + 2 + Jxl-|x+1]

Q: What is the general solution of xydx−(x2+3y2)dy=0

A: Topic :- Differential equation

Q: ① y" +16y=ex y-y-6y=2sin 3x ly-y-2y=3x+4 4y" +4y+y=3x² グッ 2

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 2 c4 e-x-2y dydx 2х

A: It is double integration problem

Q: Obtain the general solution. (xy + x) dx = 2 2 y + x + y¯ +

A: The given differential equation is…

Q: Find y': y=V5+2 — 2 O y = 7-2x 2√5+2x-x² Oy = √2-2x 1 Oy = 2√5+2x-x² 1-x O y = √5+2x-x2

A: We have to find derivative of given function.

Q: 8. = In(3x² – 2y + 4z³); x = 1/2, y = t²/3, z = 1=2 w

Q: Find the general solution of (x^2+x)dy=3dx

A: Given difeerential equation, (x2+x)dy=3dx

Q: Minimise c00 Z= 6x1 + 4x2 %3D Subject to 20 3x, + 0.5x2 2 12 2x1 + x22 16 X1, x, 2 0) Mini

A: The objective is to minimize Z=6x1+4x2 subject to3x1+0.5x2≥122x1+x2≥16x1,x2≥0

Q: Show that y %3D Cіx-1 + С2х + Cзlnx + 4x2 is a solution to x3y" + 2х?у" — ху' + у %3D 12х?.

Q: der the problem maxx + 2y subject to x² + y² ≤ 1 and x + y 20

Q: Solve for A y and dy if y = f (x) = -3x + 2x2 – 3x +5 %3D and

A: Given that: y=f(x) =-3x3+2x2-3x+5

Q: 4. Find dyax and d2 x =V4- t , go t²-2t ye t'-2 get'.

Q: x, prove that y¨= 2(y² +1)(3y² +1).

Q: Let_y=x² +5x³-4x+1 then dy- ||

Q: What is the general solution of xy^2dx+x^2ydy=0

Q: y=(b+x*) +(1+x')'(\3x* +x +(1+x*)*(V3x² .2 УЗx* +x — с сos (4x) y'%3D?

Q: Find the general solution of ди ди (y – z) + (x – z) ди + (2y – 2x) ду - az

A: The differential equation is given as (y-z)∂u∂x + (x-z)∂u∂y + (2y-2x)∂u∂z = 0 We will solve it by…

Q: Show that y = x° + 3x +1 Satisfies y" + xy" – 2y' = 0.

Q: Find the general solution of ylty = 2xcosx -cosX %3D

Q: 1. Differentiate: a) y = 5* b) f(x) = (4.3)5× %3D c) g(x) = (12)-2x³-1 d) h(x) = x³(2.1)2x

A: a). To differentiate y=5x Taking logarithm on both sides, lny=ln5xlny=xln5 Differentiating both…

Q: 2y + z = 1 29. у + 2z 3D 5 y (x + y + 3z = 8

Q: Use matrices to solve the system.

A: given system of equation:2x+y+z=0x-2y-2z=0x+y+z=0 we can represent the system of equation in the…

Q: = 3(2x + y)² + 1 2x + Y = y=1 = vY

Q: = 2 + Vy - 2x + 3 (reduction to separation of variables) 1. dr dy

Q: (18) y "+9y '= sec² 2x %3D (19) y "'+6y "–14y'–104y = -11 le*

Q: 2 1) x² + y² + 18x - 26y+246=0 CX+972+(₂-137² = 4

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: Differentiate y = x'arctan 2x 2x A. 1+4x2 - 2x arctan 2x 2x3 В. + 2x arctan 2x 1+4x2 C. 1+4x2 + 2x…

Q: max x+ y2 + z² subject to x2 + y² + 4z² == 1 and x+3y + 2z = 0

Q: Evaluate the following integrals

A: The given integrals are,

Q: note that X - y +z = e2 and 4x – 3y + 2z = e2

Q: A 3 X Y- X Y = 4xソーメニ2findr 3D2 and X"at X =1

A: Using definition of differentiation

Q: 3 18. z= 19. y= Vx(x-1) 3x-1 20. y= 2x+1

Q: 1. V2 3y 8-x2-y2 رار 0 0 x2+3y2 dzdxdy

A: We have to evaluate the integral. According to our guidelines we can solve only one question so…

Q: 4 Q1: If y = (x4-3x2) x5-3Vx3+Vx find y' 리x2-2

Question

Multiple optimum solution

corner point B =
= (0, 8). The value t =
= 32, which is the maximum value of Z.
2 gives the point (4, 6). Notice that a
Now Work Problem 1
3. Маximize
Z = 14x + 21y
||
subject to
2x + 3y < 12
x + 5y < 8
х, у > 0
. Minimize Cost
therton and Berkeley and warehouses in Concord and Dublin.
ost of delivering a car is $60 from Concord to Atherton, $45 f
oncord to Berkeley, $50 from Dublin to Atherton, and $35 fre
ublin to Berkeley. Suppose that the showroom in Atherton or
even cars and the showroom in Berkeley orders four cars. Sup
so that the warehouse in Concord has six cars and the wareh
Dublin has eight cars available. Find the best way to minim
st, and find the minimum cost. (Hint: Let x be the number c
elivered from Concord to Atherton and y be the number of ca
elivered from Concord to Berkeley. Then 7 – x is the numbe
rs delivered from Dublin to Atherton and 4- y the number
duliuanad from Dublin to Berkelev.)
Suppose a car dealer has showrooms in

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

Introduction:

VIEW

Step 1: Draw constraints

VIEW

Step 2: Plot the graphs

VIEW

Step 3: Find value of the objective function at each of these extreme points and compare them

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here