Assume that the production of 1 unit of magnesium requires 0.4 unitsof magnesium and 0.4 units of aluminum, and that the production of 1 unit of aiuminum requires 0.2 units of magnesium and 0.7 units of aluminumFind the production schedule that satisfies an external demand for 30 units of magnesium and 90 units of aluminum.X =

Question
Asked Nov 5, 2019
70 views

 Assume that the production of 1 unit of magnesium requires 0.4 units of magnesium and 0.4 units of aluminum, and that the production of 1 unit of aluminum requires 0.2 units of magnesium and 0.7 units of aluminum.

Find the production schedule that satisfies an external demand for 30 units of magnesium and 90 units of aluminum.

Assume that the production of 1 unit of magnesium requires 0.4 units
of magnesium and 0.4 units of aluminum, and that the production of 1 unit of aiuminum requires 0.2 units of magnesium and 0.7 units of aluminum
Find the production schedule that satisfies an external demand for 30 units of magnesium and 90 units of aluminum.
X =
help_outline

Image Transcriptionclose

Assume that the production of 1 unit of magnesium requires 0.4 units of magnesium and 0.4 units of aluminum, and that the production of 1 unit of aiuminum requires 0.2 units of magnesium and 0.7 units of aluminum Find the production schedule that satisfies an external demand for 30 units of magnesium and 90 units of aluminum. X =

fullscreen
check_circle

Expert Answer

Step 1

First construct a matrix A,

help_outline

Image Transcriptionclose

0.4 0.2 A = [0.4 0.7

fullscreen
Step 2

By help of the matrix B find the production schedule matrix X, which is given by

 

X = (I – A)-1 * D

 

First find the matrix (I – A), then find its inve...

help_outline

Image Transcriptionclose

-0.2 0.4 0.2 1 0 I - A= 0 1 0.6 0.3 0.4 0.7 -0.4 (-A) 0.6 -0.2 3 2 -0.4 0.3 4 6 270 3.30 2.90 30 3 2 (1-A) D= 4-30 6.90 4 6 90 660 270 X(I-A) D 660

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by student like you
question_answer

Q: Please show me how to calculate this out fully. The answer will be in terms of arc length (s) and I'...

A: Given curve is,

question_answer

Q: A passbook savings account has a rate of 6%. Find the effective annual yield if the interest is comp...

A: To calculate the effective annual yield accrued by compound interest for the given data

question_answer

Q: You have $300,000 saved for retirement. Your account earns 7% interest. How much will you be able to...

A: It is given that the present value in the is $300,000, rate of interest is 7% and the number of peri...

question_answer

Q: In Exercises 1-17 find the general solution, given that yi satisfies the complementary equation. As ...

A: Given:

question_answer

Q: [1E q20] Question is attached, Thanks ?  PLEASE ONLY DO PART D) THANKS

A: What is the condition under which |z+w|=|z-w|?

question_answer

Q: 3 Estimate e2* sin(x) dx 1 using the Trapezoidal Rule with n = 1,2,4 and 8 segments 2) using Romberg...

A: Part (1): (a)The trapezoidal rule stats that: 

question_answer

Q: 2(210) 2(510 210) 510 210 510 3 2 1 show that 1 4 2(510)210 10

A: To calculagte the 10th power of the given matrix in the required form

question_answer

Q: Why does eix=cos cos x + i sin sin x ?

A: To prove , or justify the identity exp(ix)= cosx+isinx

question_answer

Q: Given a sequence (xn) and a real number L , prove or give a counterexample for the following stateme...

A: It is given that:

question_answer

Q: In Exercises 15-19 find the general solution. 15. y3y +2y e3x(1 + x)

A: To find a (any) function y=y(x) satisfying the given non-homogeneous equation

question_answer

Q: 15 year bond at 5.2%; price $4630. Find the face value of the bond.

A: Recall the following fact.

question_answer

Q: 18

A: To determine the order of the given quotient group

question_answer

Q: Four friends (one is named Erin) drove to the drive-thru to buy their favorite food and soda. Two sa...

A: First construct a box as shown and put the given clues systematically.

question_answer

Q: Suppose that you earned a bachelor's degree and now you're teaching middle school. The school distri...

A: To work out the amount and the (compound)  interest accrued , based on the given data

question_answer

Q: In 1980, direct U.S. business investment abroad was about 13.5 billion dollars. From 1980 through 20...

A: To determine the exponential model corresponding to the given data

question_answer

Q: S= {A,D} and T={B,C,E} for the network in exercise #8 Tell whether the given sets of S, T form a cut...

A: Given that S = {A, D} and T = {B,C,E} for the following network, which is a connected graph,

question_answer

Q: 10.5

A: It is given that there are 5 children. Obtain the probability that there are 3 girls and 2 boys.

question_answer

Q: Some investors want to know the "doubling time" of an investment—that is, the amount of time it will...

A: The given equation is

question_answer

Q: The quality-control department of Starr Communications, the manufacturer of video-game cartridges, h...

A: Let,A be the cartridges sold have video defectsB be the cartridges sold have audio defectsFrom the g...

question_answer

Q: X Document1 - Word AutoSave evie tucker Off ET Mailings Review Share File Design References View Hel...

A: Given that,

question_answer

Q: There exists a system of three linear equations with three unknowns that has exactly four solutions....

A: There exists a system of three linear equations with three unknowns that has exactly four solutions....

question_answer

Q: X Document1 - Word AutoSave evie tucker Off ET Mailings Review Share File Design References View Hel...

A: It is given that u = (–6, –2,3), v = (3, –1, –5) and w = (1,3,4), 

question_answer

Q: In Exercises 1-17 find a particular solution. 2. у" + Зу' + у %3 (2 — 6х) сos х — 9 sin x

A: The second order non homogeneous ordinary differential equation y’’ + 3 y’ + y = (2 – 6x) cos x – 9 ...

question_answer

Q: Solve the following system of linear equations:   Which one of the following statements best describ...

A: Consider the given system of linear equations.

question_answer

Q: Exercise 2: Hard] Let f,g be functions such that limc f(x) = L and lim,c g(x) = L (a) Let h(x) max{f...

A: Part (A): Let f and g are functions and satisfied the given conditions: Now max is defined as:

question_answer

Q: What is the formula to convert drops (gtts) to pounds?

A: It is known that, 1 drop of water gtts Matric = 0.00011 pounds of water lb wt.To convert a drops (gt...

question_answer

Q: A colony of bacteria grows exponentially. The colony begins with 3 bacteria, but 2 hours after the b...

A: The exponential function is as follows.

question_answer

Q: In Exercises 18-30 find a fundamental set of solutions, given that yı is a solution. х2у" — 2ху' + (...

A: Click to see the answer

question_answer

Q: 3. Compute E y 2 z 2 dV , where E is the region bounded by x  1  y 2  z 2 and x 

A: Region of integration in terms of x,y,z coordinates

question_answer

Q: c(x)=2x4-1x3-26x2+37x-12 What are the zeros of c(x)?

A: To find the zeros: ( roots of c(x) =0)

question_answer

Q: Differ Equestion EXPERT  NEEDED

A: From the given information, the second - order differential equation is

question_answer

Q: Number 4

A: Let three successive odd numbers are (2n+1), (2n+3) and (2n+5).In which smallest odd number is (2n+1...

question_answer

Q: Advanced Math Question

A: Given that,

question_answer

Q: Find the simple interest. Assume a 360-day year. Round results to the nearest cent. 1) $3180 at 5% f...

A: Recall the following fact.

question_answer

Q: Hi, there are two questions a) and b) attached  Thanks so Much!!!!

A: Given that z is a complex number satisfying |2z – 1| = |z – 2|. We need to prove that |z| = 1 by two...

question_answer

Q: 5. Of a company's personnel, 7 works in design, 14 in manufacturing, 4 in testing, 5 in sales, 2 in ...

A: (a) Obtain the number of different committees that can be formed as follows.

question_answer

Q: (6) (Section 5.6 # 13 ( a)) Let A be and m x n matrix and B an n x k matrix. Show that: nullspace(B)...

A: According to the given information:Let A be a m×n matrix and B be a n×k matrix.It is needed to prove...

question_answer

Q: Use a double integral in polar coordinates to evaluate x dA where D is the region inside r 1- sin an...

A: To compute the required double integral using polar coordinates

question_answer

Q: X Document1 - Word AutoSave evie tucker Off ET Mailings Review Share File Design References View Hel...

A: (c)Consider the given question,Let 2x2 matrix A is,

question_answer

Q: How do you solve?

A: To determine the number of advertisements in each category to secure the maximum exposure

question_answer

Q: 2. Find the volume contained above z  x 2 y 2 and below z  a x 2 y

A: Use cylindrical coordinates as follows.

question_answer

Q: Can you be clear on what the answer choice is and what to put in the blanks please.

A: The given system is given as follows.

question_answer

Q: 9y2 92 and the plane x Use a triple integral to find the volume of the solid enclosed by the parabol...

A: Given the equation of the paraboloid and the plane in the following,

question_answer

Q: Use inverse matrices to find the solution of the system of equations. y 2z = 9 у + 2х + 2y + х+ 2х +...

A: To find the values of x, y and z by inverting the matrix of the given system of equations

question_answer

Q: 1 1+z4 sin(z2) 1-cos(z) z3 Compute zeros, poles, order and residue at poles

A: Zeros: A point z0 is called a zero of order n for the function f (z) if  f is analytic at z0 and at ...

question_answer

Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density ...

A: According to the given information the region D and the density function is given by:

question_answer

Q: Real Analysis Show that the Series ak from k=1 to infinity converges if and only if given Epsilon&gt...

A: Cauchy criterion for series is

question_answer

Q: (3) Consider the function defined as : R -> R>0 if laT 1 2 p(x) 0 if a> np(nx), and let Kn(x) be the...

A: Consider the given function which is defined as,

question_answer

Q: How much money should be deposited today in an account that earns 5% compounded semiannually so that...

A: To work out the initial amount  to be invested that yields the given amount .

question_answer

Q: please do part (b)

A: For the linear system arising from circuit theory, solve the initial value problem b)