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 to get started? How much will each item cost you to make? How much will you charge for each item?
a. 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.).
a What are we going to sell?
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b What does each item cost to make or purchase?
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c How much will we sell each item for?
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d How much will you invest in your business?
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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. a What is the inequality for your business plan?
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Choose a point that falls in the shaded region. Explain what the x-coordinate and y-coordinate represent and the significance in terms of cost of this point falling in the shaded region.
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e. Choose a point that falls directly on the line. Explain what the x-coordinate and y-coordinate represent and the significance in terms of cost of this point falling directly on the line.
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f. Choose a point that does not fall in the shaded region. Explain what the x-coordinate and y-coordinate represent and the significance in terms of cost of this point falling outside of the shaded region.
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a. Business: Online clothing boutique selling both dresses and accessories.
I am willing to invest $5,000 of my own money in this business.
Products:
- Dresses: Cost to make is $20, selling price is $50.
- Accessories (jewelry, handbags, etc.): Cost to purchase is $10, selling price is $30.
b. Dresses cost $20 to make, accessories cost $10 to purchase.
c. Dresses sell for $50, accessories sell for $30.
d. I will invest $5,000 in my business.
e. Inequality: 20x + 10y ≤ 5000
f. Point in shaded region: (200, 300)
Explanation: The x-coordinate (200) represents the number of dresses sold, and the y-coordinate (300) represents the number of accessories sold. This point falling in the shaded region means that the total cost of making/purchasing these items does not exceed the initial investment of $5,000.
g. Point on the line: (100, 200)
Explanation: The x-coordinate (100) represents the number of dresses sold, and the y-coordinate (200) represents the number of accessories sold. This point falling directly on the line means that the total cost of making/purchasing these items exactly matches the initial investment of $5,000.
h. Point outside the shaded region: (300, 200)
Explanation: The x-coordinate (300) represents the number of dresses sold, and the y-coordinate (200) represents the number of accessories sold. This point falling outside the shaded region means that the total cost of making/purchasing these items exceeds the initial investment of $5,000.