Mathematics Homework Solutions

Predator / Prey Models

Part a) Given the following predator prey model where x(t) is the predator population and y(t) is the prey population: dx/dt = - ax + bxy + (z1)*x dy/dt = cy – gxy +(z2)*y Here both z1 and z2 can be positive or negative; parameters a, b, c, g are all defined to be positive. Parameters z1 and z2 can r ...continues

Martin Pullin Inventory Plan Calculations

I need your help in checking my caculation the attached inventory plan table for Martin-Pullin Bicycles Corp. My other calcualtions on the case are also included on the spreadsheet, I now need to calculate the inventory table, (there are two tabs on the spreadsheet). The key thing is to set up the inventory plan correctly, a mon ...continues

Quantitative Methods - The production manager for the Whoppy soft drink company is considering the production of 2 kinds of soft drinks: regular and diet.

I need help finding a solution to the below problems for Quantatitive Methods. 15. The production manager for the Whoppy soft drink company is considering the production of 2 kinds of soft drinks: regular and diet. The company operates one “8 hour” shift per day. Therefore, the production time is 480 minutes per day. During ...continues

Waiting Line Models

The Sea View Resort uses a multiple-channel queue registration system. If the average service time is 9 minutes, there are three registration clerks, and guests arrive at the rate of one every 6 minutes, find a. Arrival and service rate. b. the probability all three clerks are idle. c. the probability a g ...continues

Linear Programming Problem

Max 8X + 7Y s.t. 15X + 4Y < 75 10X + 7Y < 70 X + Y < 8 X, Y > 0 a.Use a graph to show each constraint and the feasible region. b.Identify the optimal solution point on your graph.What are the values of X and Y at the optimal solution? c.What is the optimal value ...continues

Waiting line Model

The post office uses a multiple channel queue, where customers wait in a single line for the first available window. If the average service time is 1 minute and the arrival rate is 7 customers every five minutes, find, when two service windows are open, (Use Management Scientist, Make sure that l and m are in the same units). ...continues

Simulation

Mathematics, topic: Simulation from book Quantitative Methods for master program at Strayer University; see attachment for scans.

Simulation

I need help for problem number 6. Please look at the attachment.

Simulation of a system, and time series

Mathematics: Simulation of a system, and time series; from book Quantitative Methods for master program at Strayer University. See attached.

Decision Model Problem

Please see the attached file for the entire problem. Formulate a decision model to solve this problem. The New York City Development Corporation has just purchased a small hotel for conversion to condominium apartments. The building, in a popular area of New York, will be highly marketable, and each condominium sale is e ...continues

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