Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Can someone help me solve this word matrix question i cant wrap my head around it thank you Question 1 The present COVID-19 pandemic has

image text in transcribed

Can someone help me solve this word matrix question i cant wrap my head around it thank you

Question 1 The present COVID-19 pandemic has resulted in face masks being an important protection device that is in short supply but huge demand. Suppose that an organization has developed four (4) new prototypes of face mask that can be rapidly produced to meet the surging demand, namely - face mask Type A, B, C and D. Following are the requirements in order to sustain the production of face masks by the organization: A total sales quantity of 1136 units for all face masks must be achieved with face mask Type A, B, C and D being sold at the unit price of $1, $2, $3 and $5, respectively. This a requirement to breakeven with the production cost. The Health Ministry stipulates that each seller can only keep maximum stock of 845 units of masks for any given week in the ratio of 2:1:4:1 for face mask type A, B, C and D, in order to ensure that the face masks are equally available throughout the country. A key raw material for all types of face mask is material X. Face mask type A, B, C and D require the consumption of 2, 3, 5 and 7 units of material X, respectively, in the production process. Current available stock of material X is 1773 units. In order to ensure that all front liner staff are properly equipped with face masks during their duty, a total of 1462 units of face masks in the ratio of 3 : 2:3 : 5 for face mask type A, B, C and D, must be reserved and made readily available. Solve for the quantity of each type of face mask (Type A, B, C and D) that meets all the stated requirements by using the concept of matrix. Show both matrix methods of solving (i.e. Cramer's Rule and Gaussian Elimination). (30 marks) Question 1 The present COVID-19 pandemic has resulted in face masks being an important protection device that is in short supply but huge demand. Suppose that an organization has developed four (4) new prototypes of face mask that can be rapidly produced to meet the surging demand, namely - face mask Type A, B, C and D. Following are the requirements in order to sustain the production of face masks by the organization: A total sales quantity of 1136 units for all face masks must be achieved with face mask Type A, B, C and D being sold at the unit price of $1, $2, $3 and $5, respectively. This a requirement to breakeven with the production cost. The Health Ministry stipulates that each seller can only keep maximum stock of 845 units of masks for any given week in the ratio of 2:1:4:1 for face mask type A, B, C and D, in order to ensure that the face masks are equally available throughout the country. A key raw material for all types of face mask is material X. Face mask type A, B, C and D require the consumption of 2, 3, 5 and 7 units of material X, respectively, in the production process. Current available stock of material X is 1773 units. In order to ensure that all front liner staff are properly equipped with face masks during their duty, a total of 1462 units of face masks in the ratio of 3 : 2:3 : 5 for face mask type A, B, C and D, must be reserved and made readily available. Solve for the quantity of each type of face mask (Type A, B, C and D) that meets all the stated requirements by using the concept of matrix. Show both matrix methods of solving (i.e. Cramer's Rule and Gaussian Elimination). (30 marks)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Auditing Cloud Computing A Security And Privacy Guide

Authors: Ben Halpert

1st Edition

0470874740, 978-0470874745

More Books

Students also viewed these Accounting questions