14 Mar You are an engineer at a mining company which sells a mineral ore in three quality grades: Low, Medium, and High. The company owns three mines which produce this ore: Mine A, Mine B, and Mi
You are an engineer at a mining company which sells a mineral ore in three quality grades: Low, Medium, and High. The company owns three mines which produce this ore: Mine A, Mine B, and Mine C. Each mine can produce different quantities (in tons) of each grade of ore per day as shown below:
Where xy are the last two digits of your URN. For example, for the URN 6835725, xy = 25. In this case Mine A produces 60+25 = 85 tons of Low-quality ore per day. Please write your value of xy at the top of your solution. The company has a contract to deliver 800 tons of Low-quality ore, 900 tons of Medium-quality ore, and 1000 tons of High-quality ore. The set of equations which relates the number of days (a, b, c) each mine (A, B, C) must operate to the produce required quantities of ore is: (60 + ????????)???? + 15???? + 10???? = 800 70???? + 10???? + (30 + ????????)???? = 900 20???? + 50???? + 35???? = 1000
a) (i) Write the system of equations in matrix form
(ii) Using matrix methods, solve for the number of days each mine must operate to meet this contract with no excess ore (fractions of a day are ok).
b) If one mine is not available, discuss the mathematical implications for computing the number of days the remaining mines must operate (you do not need to solve). Also, discuss the consequences for the quantity of ore produced to meet the contract
Our website has a team of professional writers who can help you write any of your homework. They will write your papers from scratch. We also have a team of editors just to make sure all papers are of HIGH QUALITY & PLAGIARISM FREE. To make an Order you only need to click Ask A Question and we will direct you to our Order Page at WriteDemy. Then fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Fill in all the assignment paper details that are required in the order form with the standard information being the page count, deadline, academic level and type of paper. It is advisable to have this information at hand so that you can quickly fill in the necessary information needed in the form for the essay writer to be immediately assigned to your writing project. Make payment for the custom essay order to enable us to assign a suitable writer to your order. Payments are made through Paypal on a secured billing page. Finally, sit back and relax.