Answered step by step
Verified Expert Solution
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
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
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started