Mathematics Homework Solutions

Understanding how to use the Queing Theory - Erlang M/G/s/GD/s/infinity.

How do I solve a formula or equation for the Erlang System M/G/s/GD/s/infinity that predicts resource requirements (how many servers) using the known variables (1) new events per unit of time; (2) average time per event; (3) event time service level (must be resolved by duration); (4) percent of events that must meet that event ...continues

Proving connectedness.

Prove that if G is a disconnected graph, the complement graph G^G is connected, and in fact, diam(G^)<=2.

Intro to OR class: Investment Problem

Al has $60,000 that he wants to invest now in order to use the accumulation for purchasing a retirement annuity in 5 years. After consulting with his financial adviser, he has been offered four types of fixed-income investments, which we will label as investments A,B,C, D. Investments A and B are available at the beginning of e ...continues

OR Problem

Use the Simplex Tableau Method to solve the following linear programming problem. Maximise z=5x1 + 3x2 subject to: 4x1 + 2x2 <= 15 4x1 + x2 <= 10 x1 + x2 <=4 and xj >= 0, j =1,2. Use the optimal tableau above to answer the following. i) State the maximum value of z. ii) State the values of all the basic variable ...continues

Factory Operations Research Problem

A factory can assemble printers and scanners. The 50 factory workers operate three four hour shifts which keep the factory running for a total of 12 hours a day, 6 days a week. Before the printers and scanners can be assembled, the component parts must be purchased and the maximum value of the stock that can be held for a days a ...continues

OR Problem

A company assembles motherboards which contain the Enterprise chip. The company uses 9,000 Enterprise chips each year. The supplier of the chips imposes a £5 delivery charge on each order. The chips have to be stored in a freezer resulting in a high holding cost which has been estimated at £0.48 each per month. (a) Determine ...continues

Transportation problem

For the transportation problem given by the following tableau, find an initial basic feasible solution by the North-West corner method and then find an optimal solution.

Probability

Please could I have the answer to this: Full workings please. A shortlist of 10 people is drawn up from a large number of applicants for a certain job. The shortlist consists of 7 men and 3 women. Because all the shortlisted applicants are considered to be equally qualified, the names of two of them are drawnn, one afte ...continues

Dynamic Programming

My professor gave us an example problem to work. I have tried it (attached), but I have managed to confuse myself at the end. Will take a look and help me figure out how to finish this problem?

Dynamic Programming - The Allocation Problem

My professor gave us an example allocation problem in his notes that just has the set up and the answer. I can't get his answer. I think I am missing a fundamental step at the beginning. Could you work this problem, and explain each step as you go?

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