Systems of Equations and Inequalities Unit Portfolio

DripKracken

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You are starting a new business in which you have decided to sell two products instead of just one. Determine a business you could start and choose two products that you could sell. How much of your own money are you willing to invest in this business in order to get started? How much will each item cost you to make? How much will you charge for each item?
  • Explain this business (how much of your own money you’re willing to spend on the business, what items you’re going to sell, costs for each item, sale price for each item, etc.).
  • KM® bike accessories. Starting Investment: $400 (Lets say I teamed up with my bike shop)

    • Product Name
    • Manufacturing Price
    • Retail price
    • Carbon Fiber (permanent) dork disk.
    • $10
    • $15
    • KM oilslick Bike Components Set
    • $115
    • $130
*This is where in need help*

  • Consider the total amount you’re willing to spend on the business and how much it will cost you to make your items. Write an inequality that represents the fact that while making each item, you can’t exceed this limit. Be sure to include the cost per item in this inequality.
 
seems pretty straightforward that

[MATH]10 N_{CF} + 115 N_{KM} \leq T_{invest}[/MATH]
[MATH]N_{CF} = \text{# of Carbon Fiber disks you'll make initially}\\ N_{KM} = \text{# of component sets you make initially}\\ T_{invest} = \text{The initial amount of your investment}[/MATH]
This isn't really accurate since you have other startup costs besides product manufacturing but this is probably what they are after.
 
seems pretty straightforward that

[MATH]10 N_{CF} + 115 N_{KM} \leq T_{invest}[/MATH]
[MATH]N_{CF} = \text{# of Carbon Fiber disks you'll make initially}\\ N_{KM} = \text{# of component sets you make initially}\\ T_{invest} = \text{The initial amount of your investment}[/MATH]
This isn't really accurate since you have other startup costs besides product manufacturing but this is probably what they are after.
thanks
 
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