Quantitative Methods

Jennifer Guevara
Unit 1 Homework

Chapter 1-3 Questions/Problems

Chapter 1: Question # 8
Suppose the profligate in this example considers a second product that has a unit of measurement dough of $5 and requires 2 hours for each unit produced. Assume original production capacity remains 40. workout y as the number of product 2 produced.
a.) denominate the mathematical shape when both products argon considered simultaneously.
b.) Identify the governable and uncontrollable inputs for this model.
c.) Draw the flowchart of the input-output process for this model (see Figure1.5)
d.) What are the optimal solution values of x and y?
e.) Is the model developed a deterministic or a stochastic model? Explain.
Answer Below:
Max 10x+5y s.t.
5x+2y<=40
x>=0, y>=0
positivity from product 1: $10 / 5 hrs
Profitability from product 2: $5 / 2 hrs
Maximum profit will be achieved if all production hours are apply to produce product 2.
 Optimal solution:
 x = 0, y = 20
Objective function = $100
This is a deterministic model. Production hours/ loot per product / total production capacity are cognize exactly.

Chapter 1: Question # 13
Micromedia offers computer training seminars on a variety of topics .



In the seminars each student works at a personal computer, practicing the particular activity that the instructor is presenting. Micromedia is presently planning a two-day seminar on the use of Microsoft Excel in Statistical Analysis. The projected fee for the seminar is $300 per student. The embody for the gathering room, instructor compensation, lab assistants and promotion is $4800. Micromedia rents computers for its seminars at a cost of $30 per computer per day.
a.) Develop a model for the total cost to put on a seminar. Let x represent the number of students who enroll in the seminar.
b.) Develop a model for the total profit if x students enroll in the seminar.
c.) Micromedia has forecasted an enrollment of 30 students for the seminar. How much...If you want to get a climb essay, order it on our website: Orderessay



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