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?

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.).

b. 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.

c. Graph your inequality. Be sure to label your graph and shade the appropriate

side of the line.

d. 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.

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.

f. Choose a point that does not fall in the shaded region. Explain what the xcoordinate and y-coordinate represent and the significance in terms of cost of

this point falling outside of the shaded region. Task 2

Consider the total amount you’re willing to spend to start your business. After

selling your items, you want your total amount earned to be at least three times

the amount you originally spent.

a. How much money are you hoping to earn from selling your products?

b. Determine the price you want to sell each item for. Note:You may need to

adjust the original prices that you came up with in Task 1.

c. Write an inequality that represents the fact that you want your total earned

to be at least three times the amount that you originally spent. Be sure to

include the price for each item in this inequality.

d. Graph your inequality. Be sure to label your graph and shade the appropriate

side of the line. In the context of the problem, does the shaded area make

sense? If not, make sure to adjust the original values (the investment and

the sale price for both products) so that your shaded area is reasonable.

e. Choose a point that falls in the shaded region for both this inequality and the

inequality you found in Task 1. Explain what the x-coordinate and ycoordinate represent and the significance in terms of both cost and money

earned of this point falling in the shaded regions.

f. What is the ideal number of items you should produce and sell? Why?

# You are starting a new business in which you have decided to sell two products i

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