Explain if and how this opposition article helps you to understand your own position on the topic.

  1. List the article in APA format to practice citing sources in APA format.
  2. Summarize the article in 2–3 sentences.
  3. Analyze if there is any validity to the author’s position in 2–3 sentences. You can say something like, “Although I disagree, this position makes sense because (and give a few reasons here).”

Submission Requirem

  1. Explain if and how this opposition article helps you to understand your own position on the topic.

ents:

  • Submit your responses for grading in a Microsoft Word document.
  • Adhere to Standard English grammar, spelling, and punctuation requirements.
  • Use 12-point Arial font and double-space.

Question 2 of 2

 

Cost-Minimization Models

  1. Solve the following linear programming model by using Microsoft Excel:

    minimize Z = 3x1 + 6x2

    subject to

    7x1 + 3x2 ≥ 40

    x1x2 ≥ 0 and integer

  2. A jeweler and her apprentice make silver pins and necklaces by hand. Each week, they have 80 hours of labor and 36 ounces of silver available. It requires 8 hours of labor and 2 ounces of silver to make a pin and 10 hours of labor and 6 ounces of silver to make a necklace. Each pin also contains a small gem of some kind. The demand for pins is no more than six per week. A pin earns the jeweler $400 in profit, and a necklace earns $100. The jeweler wants to know how many of each item to make each week to maximize profit.
    1. Formulate an integer programming model for this problem.
      1. Solve the linear programming model that you formulated.
    2. Compare this solution with the solution without integer restrictions and indicate whether the rounded-down solution would have been optimal.