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The Discussion Board (DB) is part of the core of online learning. Classroom discussion in an online environment requires the active participation of students and the instructor to create robust interaction and dialogue. Every student is expected to create an original response to the open-ended DB question as well as engage in dialogue by responding to posts created by others throughout the week. At the end of each unit, DB participation will be assessed based on both level of engagement and the quality of the contribution to the discussion.

At a minimum, each student will be expected to post an original and thoughtful response to the DB question and contribute to the weekly dialogue by responding to at least two other posts from students. The first contribution must be posted before midnight (Central Time) on Wednesday of each week. Two additional responses are required after Wednesday of each week. Students are highly encouraged to engage on the Discussion Board early and often, as that is the primary way the university tracks class attendance and participation.

The purpose of the Discussion Board is to allow students to learn through sharing ideas and experiences as they relate to course content and the DB question. Because it is not possible to engage in two-way dialogue after a conversation has ended, no posts to the DB will be accepted after the end of each unit.

Modeling Costs for the General Store

1. Remember the form of a quadratic equation: ax²+bx+c
2. You will use: W=-.01x²+100x+c where (-.01x²+100x) represents the store’s variable costs and c is the store’s fixed costs.
3. So, W is the stores total monthly costs based on the number of items sold, x.
4. Think about what the variable and fixed costs might be for your fictitious storefront business – and be creative. Start by choosing a fixed cost, c, between $5,000 and $10,000, according to the following class chart:
   

   If your last name starts with the letter	Choose a fixed cost between
   A-E	$5000-$5700
   F-I	$5800-$6400
   J-L	$6500-$7100
   M-O	$7200-$7800
   P-R Last name is R this the one I want to use	$7800-$8500
   S-T	$8600-$9200
   U-Z	$9300-$10,000

5. Post your chosen c value in your subject line, so your classmates can easily scan the discussion thread and try to avoid duplicating your c value. (Different c values make for more discussion.)
6. Your monthly cost is then, W = -.01x²+100x+c.
7. Substitute the c value chosen in the previous step to complete your unique equation predicting your monthly costs.
8. Next, choose two values of x (number of items sold) between 100 and 200.  Again, try to choose different values from classmates.
9. Plug these values into your model for W and evaluate the monthly business costs given that sales volume.
10. Discuss results and alternate business decisions.

In your own words, please post a response to the Discussion Board and comment on other postings. You will be graded on the quality of your postings.

For assistance with your assignment, please use your text, Web resources, and all course materials.

Course Materials

• Solve equations, such as linear, quadratic, radical, rational, exponential and logarithmic.
• Graph functions such as linear, quadratic, radical, rational, exponential and logarithmic.