DB3Scenario:For your next project your boss asks you to research an application of linear equations in a business setting and present your findings to the team. Do research using the Internet to find more information on 1 of the following topics:Part I: Primary Task ResponseIn 3 paragraphs report your findings to your classmates by discussing the following:IP3.
In this equation constant charges may be rent salaries or other fixed costs. This includes anything that you have to pay for periodically as a business owner. This value is negative because this cost must be paid each period and must be paid whether you make a sale or not.Your company may wish to release a new e-reader device. Based on data collected from various sources your company has come up with the following regression equation for the profit of the new e-reader:Profit = $0.15 number of e-readers sold $28Or assuming x = the number of e-readers sold this would be the same regression equation:Profit = 0.15x 28
In this case the values are given in thousands (i.e. the cost of making an individual e-reader will be $150 [0.15 1000] with $28000 [28 * 1000] in constant charges).
Answer the following questions based on the given regression equation:DB4
Part I: Most of the systems that we have discussed this week have been independent and consistentsystems. This means that the pair of lines intersects at one point so the system of equations has one solution. Do some research and discuss what is meant by a system that is EITHER inconsistentor dependent. Be sure to include in your response what each of these terms means in regards to graphs of the lines in addition to the behavior of the equations when you solve the system algebraically. Be sure to include the source that you used and to give an example of the system that you are describing.IP4
Previously when equations and inequalities were covered you found many uses of various equations and inequalities and how they can be applied in real-world settings. In 2 paragraphs discuss the following:a. How can equations and inequalities help a business maximize profit or minimize costs?b. What is the importance of understanding how to set up and solve equations and inequalities (discuss in general without a mathematical example)?This part of the assignment will contribute 20 points of the grade for this IP.Part IIIBreak-Even Analysis: A Look at Profit and Loss:As an entrepreneur there are going to be many decisions that you need to make such as the price to charge your customers for your goods and services. You have just graduated from college and recently opened a specialty pizza restaurant. Based on surveys conducted in your area you determine that it is feasible to sell your specialty pizzas for $15. The cost for making the pizzas includes a fixed cost of $55 and a labor cost of $4 per pizza.a. Establish an equation to determine revenue.b. Establish an equation to determine total cost.c. How many pizzas must be sold to break even (i.e. you experience neither a profit nor a loss)? Interpret your result.As a business owner it is very important to have an understanding of profit and loss. The formula for determining profit is Profit = revenue cost (P = R C).d. Determine the profit if 500 specialty pizzas are sold. Interpret your result.e. How many specialty pizzas would need to be sold to make a profit of $1100? Interpret your result.f. How many specialty pizzas would you need to sell if you wanted to make a profit greater than $1595? Interpret your result.This part of the assignment will contribute 50 points of the grade for this IP.Mathematics of Finance
Part IV: As an entrepreneur there may be times when you must borrow money to fund the start of your business. You have just graduated from college and your dream is to start your own business. Before you start your dream business you need to research funding options.Think of a business that you would like to own. Do research using the Internet to find more information about loans for small-business owners.This part of the assignment will contribute 20 points of the grade for this IP.IP51. You find that a small business loan in the amount of 50000 is the amount you need to purchase the restaurant location. After researching banks to find the best interest rate you find that banks for small businesses offer the best interest rate of 9% interest that compounds monthly for 7 years.a. What is the monthly payment for this loan?b. Show the formula that you used and the values used for each variable to calculate the monthly payment.c. What is the unpaid balance of the loan at the end of the 1st year?d. Show the formula that you used and the values used for each variable to calculate the unpaid balance at the end of the 1st year.e. What is the unpaid balance at the end of the 6th year? Show the formula that you used and the values used for each variable to calculate the unpaid balance at the end of the 6th year.2. Diane works at a public university. She contributes $625 at the end of each month to her retirement fund. For the past 10 years this fund has returned 3.84% a year compounded monthly.a. Assuming the 3.84% rate continues how much will she have in her retirement account after 15 years?b. Assume the economy has gotten better and that the fund now has a return of 7.72% compounded monthly. Since Diane s salary has risen over the first 15 years she can now contribute $1000 per month. At the end of the next 15 years how much is her account worth?
