Homework Problem - Assignment Example

Question 3: The University of Iowa is experimenting with a blend of soil amendments to be used in an analysis of variance study of the response of tomatoes to various amounts of sunlight.  To perform this study, all other elements must be controlled so that the only variable is the sunlight.  The minimum requirements for calcium, phosphorous, and potassium are 125 pounds, 150 pounds, and 120 pounds respectively.  The soil amendment mixture from Prairie Gold consist of 25% calcium, 25% phosphorous, 14% potassium, and 36% other ingredients.

  It costs $0.60 per ounce.  The mixture from Grinell Grow is 20% calcium, 25% phosphorous, 25% potassium, and 30% other ingredients.  It sells for $0.80 per ounce Formulate a linear programming model that will allow the University of Iowa to conduct this experiment using a minimum cost blend of the two soil amendment mixtures. State clearly the Objective Function and the Constraints (if any) Question 5: Given these parameters:  λ = 25 per hour, μ = 30 per hour, and Wq = .3 hours, calculate the average number of customers in the system, average number of customers in the queue, and the average time a customer spends in the system using Littles Formulas.

Question 6: An investor studied the percentage rates of return of three different gold funds. Random samples of percentage rates of return for four periods were taken from each fund. The results appear in the table