Task 1You are starting a new business in which you have deci

Task 1You are starting a new business in which you have decided to sell two productsinstead of just one. Determine a business you could start and choose two productsthat you could sell. How much of your own money are you willing to invest in thisbusiness in order to get started? How much will each item cost you to make? Howmuch will you charge for each item?a. Explain this business (how much of your own money you’re willing to spendon the business, what items you’re going to sell, costs for each item, saleprice for each item, etc.).b. Consider the total amount you’re willing to spend on the business and howmuch it will cost you to make your items. Write an inequality that representsthe fact that while making each item, you can’t exceed this limit. Be sure toinclude the cost per item in this inequality.c. Graph your inequality. Be sure to label your graph and shade the appropriateside of the line.d. Choose a point that falls in the shaded region. Explain what the x-coordinateand y-coordinate represent and the significance in terms of cost of this pointfalling in the shaded region.e. Choose a point that falls directly on the line. Explain what the x-coordinateand y-coordinate represent and the significance in terms of cost of this pointfalling directly on the line.f. Choose a point that does not fall in the shaded region. Explain what the xcoordinateand y-coordinate represent and the significance in terms of cost ofthis point falling outside of the shaded region. Task 2Consider the total amount you’re willing to spend to start your business. Afterselling your items, you want your total amount earned to be at least three timesthe 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 toadjust the original prices that you came up with in Task 1.c. Write an inequality that represents the fact that you want your total earnedto be at least three times the amount that you originally spent. Be sure toinclude the price for each item in this inequality.d. Graph your inequality. Be sure to label your graph and shade the appropriateside of the line. In the context of the problem, does the shaded area makesense? If not, make sure to adjust the original values (the investment andthe 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 theinequality you found in Task 1. Explain what the x-coordinate and ycoordinaterepresent and the significance in terms of both cost and moneyearned of this point falling in the shaded regions.f. What is the ideal number of items you should produce and sell? Why?Task 3Pick one of your items. You have been contacted by a customer in Alaska whowants to purchase several of these items and wants you to ship the items to her.You have already established the cost per item and you will only charge thecustomer $5 to ship these items to Alaska. Suppose another company sells thesame item but charges half of your price. However, if the customer buys from thiscompany, she will be charged $20 in shipping costs.a. Write two equations to represent the customer’s total cost based on howmany items she buys from each of the two sellers—you and the othercompany.b. If the customer in Alaska wants to buy 5 items, from whom should she buy?Explain your answer.c. If the customer in Alaska wants to buy 50 items, from whom should she buy?Explain your answer.d. Solve the system of equations from part A. What method did you choose tosolve the system? Why?e. Explain what your solution for part D means in terms of the situation.

Task 1You are starting a new business in which you have deci

Task 1You are starting a new business in which you have decided to sell two productsinstead of just one. Determine a business you could start and choose two productsthat you could sell. How much of your own money are you willing to invest in thisbusiness in order to get started? How much will each item cost you to make? Howmuch will you charge for each item?a. Explain this business (how much of your own money you’re willing to spendon the business, what items you’re going to sell, costs for each item, saleprice for each item, etc.).b. Consider the total amount you’re willing to spend on the business and howmuch it will cost you to make your items. Write an inequality that representsthe fact that while making each item, you can’t exceed this limit. Be sure toinclude the cost per item in this inequality.c. Graph your inequality. Be sure to label your graph and shade the appropriateside of the line.d. Choose a point that falls in the shaded region. Explain what the x-coordinateand y-coordinate represent and the significance in terms of cost of this pointfalling in the shaded region.e. Choose a point that falls directly on the line. Explain what the x-coordinateand y-coordinate represent and the significance in terms of cost of this pointfalling directly on the line.f. Choose a point that does not fall in the shaded region. Explain what the xcoordinateand y-coordinate represent and the significance in terms of cost ofthis point falling outside of the shaded region. Task 2Consider the total amount you’re willing to spend to start your business. Afterselling your items, you want your total amount earned to be at least three timesthe 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 toadjust the original prices that you came up with in Task 1.c. Write an inequality that represents the fact that you want your total earnedto be at least three times the amount that you originally spent. Be sure toinclude the price for each item in this inequality.d. Graph your inequality. Be sure to label your graph and shade the appropriateside of the line. In the context of the problem, does the shaded area makesense? If not, make sure to adjust the original values (the investment andthe 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 theinequality you found in Task 1. Explain what the x-coordinate and ycoordinaterepresent and the significance in terms of both cost and moneyearned of this point falling in the shaded regions.f. What is the ideal number of items you should produce and sell? Why?Task 3Pick one of your items. You have been contacted by a customer in Alaska whowants to purchase several of these items and wants you to ship the items to her.You have already established the cost per item and you will only charge thecustomer $5 to ship these items to Alaska. Suppose another company sells thesame item but charges half of your price. However, if the customer buys from thiscompany, she will be charged $20 in shipping costs.a. Write two equations to represent the customer’s total cost based on howmany items she buys from each of the two sellers—you and the othercompany.b. If the customer in Alaska wants to buy 5 items, from whom should she buy?Explain your answer.c. If the customer in Alaska wants to buy 50 items, from whom should she buy?Explain your answer.d. Solve the system of equations from part A. What method did you choose tosolve the system? Why?e. Explain what your solution for part D means in terms of the situation.