– Systems of Equations and Matrix Equations Labor and material costs for manufacturing two guitar models...

– Systems of Equations and Matrix Equations

Labor and material costs for manufacturing two guitar models are given in the table:

Guitar Model Labor Cost Material Cost

A $30 $20

B $40 $30

A. If a total of $3,000 a week is allowed for labor and material, how many of each model should be produced each week to use exactly each of the allocations of the $3,000 indicated in the following table?

Weekly Allocation

1 2 3

Labor $1,800 $1,750 $1,720

Material $1,200 $1,250 $1,280

B. Is it possible to use an allocation of $1,600 for labor and $1,400 for material? Explain your reasoning.

C. Explain, in your own words, why solving a matrix equation is a better method to solve this type of problem than Gauss Jordan elimination.

Expert Solution

ekkarill92 answered 2 years ago

Determine whether each of the following costs should be classified as: Direct material Direct Labor Manufacturing...

Determine whether each of the following costs should be classified as: Direct material Direct Labor Manufacturing Overhead Period Cost Oils, glues, resins Answer 1 The factory janitor's salary Answer 2 Frames and tires used in manufacturing bicycles Answer 3 Wages paid to the workers assembling the bicycles for sale Answer 4 Depreciation of office computer system Answer 5 Wood purchased to manufacture tables made of wood. Answer 6 Depreciation on factory equipment Answer 7 The company spends $35,000 a year...

Express the following systems of equations in matrix form as A x = b. What is...

Express the following systems of equations in matrix form as A x = b. What is the rank of A in each case (hint: You can find the rank of a matrix A by using rank = qr(A)$rank in R. For each problem, find the solution set for x using R. a. X1+5X2+2X3=5 4X1-X2+3X3=-8 6X1-2X2+X3=0 b. 3X1-5X2+6X3+X4=7 4X1+2X3-3X4=5 X2-3X3+7X4=0 X2+3X4=5

Problem 1: Consider an economy with two sectors: manufacturing and services. Demand for labor in manufacturing and services are described by these equations:

Problem 1: Consider an economy with two sectors: manufacturing and services. Demand for labor in manufacturing and services are described by these equations:Lm = 200 - 6WmLs = 100 - 4Ws where L is labor (in number of workers), W is the wage (in dollars), and the subscripts denote the sectors. The economy has 150 workers who are willing and able to work in either sector.a. If workers are free to move between sectors, what relationship will there be between...

Actual Direct labor costs and Actual Direct material costs are written [entered, or put] on A...

Actual Direct labor costs and Actual Direct material costs are written [entered, or put] on A job-order sheet. Estimated, not actual, manufacturing overhead costs are entered on a Job-order Sheet. A. Explain why estimated costs are used. B. Explain how the amount of manufacturing Overhead costs entered on a particular job-order cost sheet is determined.

Identify why labor costs are often more difficult to control than material costs. Give a specific...

Identify why labor costs are often more difficult to control than material costs. Give a specific example. 1 Paragraph

Peyton Manufacturing is trying to decide between two different conveyor belt systems. System A costs $216,000,...

Peyton Manufacturing is trying to decide between two different conveyor belt systems. System A costs $216,000, has a four-year life, and requires $69,000 in pretax annual operating costs. System B costs $306,000, has a six-year life, and requires $63,000 in pretax annual operating costs. Both systems are to be depreciated straight-line to zero over their lives and will have zero salvage value. Whichever system is chosen, it will not be replaced when it wears out. The tax rate is 21...

Peyton Manufacturing is trying to decide between two different conveyor belt systems. System A costs $232,000,...

Peyton Manufacturing is trying to decide between two different conveyor belt systems. System A costs $232,000, has a four-year life, and requires $73,000 in pretax annual operating costs. System B costs $330,000, has a six-year life, and requires $67,000 in pretax annual operating costs. Both systems are to be depreciated straight-line to zero over their lives and will have zero salvage value. Suppose the company always needs a conveyor belt system; when one wears out, it must be replaced. Assume...

Peyton Manufacturing is trying to decide between two different conveyor belt systems. System A costs $260,000,...

Peyton Manufacturing is trying to decide between two different conveyor belt systems. System A costs $260,000, has a four-year life, and requires $80,000 in pretax annual operating costs. System B costs $366,000, has a six-year life, and requires $74,000 in pretax annual operating costs. Both systems are to be depreciated straight-line to zero over their lives and will have zero salvage value. Suppose the company always needs a conveyor belt system; when one wears out, it must be replaced. Assume...

Peyton Manufacturing is trying to decide between two different conveyor belt systems. System A costs $252,000,...

Peyton Manufacturing is trying to decide between two different conveyor belt systems. System A costs $252,000, has a four-year life, and requires $78,000 in pretax annual operating costs. System B costs $354,000, has a six-year life, and requires $72,000 in pretax annual operating costs. Both systems are to be depreciated straight-line to zero over their lives and will have zero salvage value. Whichever system is chosen, it will not be replaced when it wears out. The tax rate is 23...

Peyton Manufacturing is trying to decide between two different conveyor belt systems. System A costs $204,000,...

Peyton Manufacturing is trying to decide between two different conveyor belt systems. System A costs $204,000, has a four-year life, and requires $66,000 in pretax annual operating costs. System B costs $288,000, has a six-year life, and requires $60,000 in pretax annual operating costs. Both systems are to be depreciated straight-line to zero over their lives and will have zero salvage value. Suppose the company always needs a conveyor belt system; when one wears out, it must be replaced. Assume...

Question