As a manager, you have the following data collected by your data analyst regarding the price and quantity demanded:

Price of One Shirt (P)

Demand (D)

2300

152

2000

159

1700

164

1500

171

1300

176

1200

180

1000

189

Note that you are asked to use a graphing utility in this assignment. A recommended online utility is https://www.desmos.com/calculator (Links to an external site.). It allows graphing and then copying and posting into a Word document.

1. Using a graphing utility, draw a scatter diagram with price as a function of demand.
2. Using a graphing utility, build a logarithmic model from the data.
3. Graph the logarithmic function in the scatter diagram.
4. Use the function you found above to predict the number of quantities that will be demanded if the price is $1750.
5. Use the function you found in #2 to predict the price, if the quantity demanded is 174.

Requirements:

1. Your paper should be 2-3 pages (not counting the title page and references page) and cite and integrate at least one credible outside source. The CSU Global Library (Links to an external site.) is a great place to find resources. Your textbook is a credible resource.
2. Include a title page, introduction, body, conclusion, and a reference page.
   1. The introduction should describe or summarize the topic or problem. It might discuss the general applications of the topic or it might introduce the unique terminology associated with the topic.
   2. The body of your paper should address the questions posed in the problem. Explain how you approached and answered the question or solved the problem, and, for each question, show all steps involved. Be sure this is in paragraph format, not numbered answers like a homework assignment.
   3. The conclusion should summarize your thoughts about what you have determined from your analysis in completing the assignment. Nothing new should be introduced in the conclusion that was not previously discussed in the body paragraphs.

There are 3 parts from A, B, C, D and I need help on part B-D

I need to know if the answer I got below are right?

Leave a comment below if you need help

=======================================================

part A:

0.1A + 0.07B

A+ 1 B <= 10000

A<= 6000

B>=2000

A>=B

======================================

part B:

I think it could be one of these below

“Correct answer is not listed”

, [“(0,10000) , (0,2000) , (6000,2000) , (6000,4000)”],

==========================

Part C:

(6000,4000)

=============================

Part D:

$880

========================================

(Here is the option for each answer for part A to D)

A woman has up to $10000 to invest. Her broker suggests investing in two bonds: Bond A, and Bond B. Bond A is a rather risky bond with an annual yield of 10% and bond B is a rather safe bond with an annual yield of 7%. After some consideration, she decides to invest at most $6000 in bond A , and invest at least $2000 in bond B. Moreover, she wants to invest at least as much in bond A as in bond B. She wishes to maximize her annual yield.

a) In each blank box below, select the best answer from the list that helps complete the objective function and its associated constraint inequalities.

Please note that the option <= indicates ≤ , and the option >= indicates ≥.

R= [“0.07”, “6000”, “0.1”, “10000”, “2000”, “Correct answer is not listed”] A+ [“Correct answer is not listed”, “10000”, “2000”, “0.1”, “6000”, “0.07”] B

A+ [“Correct answer is not listed”, “2”, “1”, “0.07”, “0.01”, “2000”, “6000”] B [“<=”, “>=”, “=”, “Correct answer is not listed”] 10000

A [“Correct answer is not listed”, “<=”, “=”, “>=”] 6000

B [“Correct answer is not listed”, “<=”, “>=”, “=”] 2000

A [“Correct answer is not listed”, “<=”, “>=”, “=”] B

b) Use the geometric approach (with A placed on the x-axis and B on the y-axis) to determine the coordinates of the corner points of the solution region. Then, select the answer from this list:

[“(6000,4000) , (6000,2000) , (8000,2000)”],

[“(0,0) , (0,10000) , (10000,0)”],

“Correct answer is not listed”

, [“(0,10000) , (0,2000) , (6000,2000) , (6000,4000)”],

[“(6000,0) , (6000,2000) , (8000,2000) , (10000,0)”],

[“(0,0) , (0,2000) , (6000,2000) , (6000,0)”],

[“(6000,0) , (6000,4000) , (10000,0)”]

 

 

 

 

c) Which of the feasible corner points you selected in part (b) above maximizes the objective function? Note that a feasible corner point is any corner point with at least one non-zero coordinate. Select the answer from this list:

[“(6000,0)”,

“Correct answer is not listed”,

“(8000,2000)”

, “(6000,4000)”,

“(0,10000)”,

“(6000,2000)”,

“(10000,0)”]

d) What is the maximum yield?

“$740”,

“$840”,

“Correct answer is not listed”,

“$700”,

“$800”,

“$920”,

 

“$880”

12:17 1 … class.waldenu.edu ၁၁။6TTTTTTTL, Prof. Abdol **** ********* For my example I chose to purchase new furniture for my family room. I have set aside a budget of 4500 to cover the entire purchase. I have selected a cream leather sectional with an area rug and two floor lamps. The loan amount would be 4500.00 Using the formula I=PRT I will calculate the cost of the furniture including the interest. 4500.00 x 3.7% x 3= 499.50 4500 + 499.50 = 4999.50 4999.50/36 = 138.87 The amount of interest that I would pay over a period of three years would be 499.50. The monthly payment on the loan would be 138.87, I would have paid a total of 4999.50 for the furniture with interest. If I were to decrease the amount of time I paid the furniture it would decrease the amount of interest that I paid over a shorter period. 4500 x 3.7% x 2 = 332.00 4500 + 332.00 = 4832.00 4832.00 /24 = 201.33 12:17 1 class.waldenu.edu 4500 + 499.50 = 4999.50 4999.50/36 = 138.87 The amount of interest that I would pay over a period of three years would be 499.50. The monthly payment on the loan would be 138.87, I would have paid a total of 4999.50 for the furniture with interest. If I were to decrease the amount of time paid the furniture it would decrease the amount of interest that I paid over a shorter period. 4500 x 3.7% x 2 = 332.00 4500 + 332.00 = 4832.00 4832.00 /24 = 201.33 The difference of a year would yield a monthly payment of 201.33. Cutting back on eating out would allow me to pay the higher amount of 62.51 in order to save on the amount of interest paid for the longer term. It didn’t surprise me much as the difference was not a large enough savings to matter. However paying the furniture off with no interest at all would be a better option as long as it’s paid off in the time allowed for that particular special. Paying the furniture off without any interest at all would be 125.00 for 3 years and 187.50 for a period of 2 years which is a significant amount of savings. 12:17 1 … class.waldenu.edu ၁၁။6TTTTTTTL, Prof. Abdol **** ********* For my example I chose to purchase new furniture for my family room. I have set aside a budget of 4500 to cover the entire purchase. I have selected a cream leather sectional with an area rug and two floor lamps. The loan amount would be 4500.00 Using the formula I=PRT I will calculate the cost of the furniture including the interest. 4500.00 x 3.7% x 3= 499.50 4500 + 499.50 = 4999.50 4999.50/36 = 138.87 The amount of interest that I would pay over a period of three years would be 499.50. The monthly payment on the loan would be 138.87, I would have paid a total of 4999.50 for the furniture with interest. If I were to decrease the amount of time I paid the furniture it would decrease the amount of interest that I paid over a shorter period. 4500 x 3.7% x 2 = 332.00 4500 + 332.00 = 4832.00 4832.00 /24 = 201.33 12:17 1 class.waldenu.edu 4500 + 499.50 = 4999.50 4999.50/36 = 138.87 The amount of interest that I would pay over a period of three years would be 499.50. The monthly payment on the loan would be 138.87, I would have paid a total of 4999.50 for the furniture with interest. If I were to decrease the amount of time paid the furniture it would decrease the amount of interest that I paid over a shorter period. 4500 x 3.7% x 2 = 332.00 4500 + 332.00 = 4832.00 4832.00 /24 = 201.33 The difference of a year would yield a monthly payment of 201.33. Cutting back on eating out would allow me to pay the higher amount of 62.51 in order to save on the amount of interest paid for the longer term. It didn’t surprise me much as the difference was not a large enough savings to matter. However paying the furniture off with no interest at all would be a better option as long as it’s paid off in the time allowed for that particular special. Paying the furniture off without any interest at all would be 125.00 for 3 years and 187.50 for a period of 2 years which is a significant amount of savings. 12:55 7 A class.content.laureate.net W E Menu MATH 1030: College Math Week 5 Week 5: Consumer Mathematics Everyone benefits from effective money management. Money is earned, bills are paid, and savings accounts are created. But what happens when the money you earn is not enough to cover your immediate needs or wants? This is where a loan comes in. No matter how much money you make in your lifetime, it is likely that at some point you will take out a loan. This could be for education, a home, a car, or a hobby, such as a boat. If you have taken out a loan, you already know there is a cost for taking that loan. How much of that loan is interest, or money paid to the financial institution for lending you the cash? How much of your monthly payment is paying down the debt, and how much is paying interest on that amount? If you haven’t taken out a loan before, you will be glad to work through this math now so that you are prepared for the true costs involved. This week, you will explore the math behind finances, loans, and interest payments. You also re-examine your own personal financial management techniques. Learning Objectives 12:55 1 A class.content.laureate.net W = Menu Assignment: Note: As you complete this MATHNt030: College Math | Week 5 Assignment, be sure to MyLab Math reference the Week 5 Assignment instructions. Learning Resources Readings Blitzer, R. (2019). Thinking mathematically (7th ed.). Pearson. . o O Chapter 8, “Personal Finance” Section 8.1, “Percent, Sales Tax, and Discounts” (pp. 494-502) Section 8.2, “Income Tax” (pp. 503–513) Section 8.3, “Simple Interest” (pp. 514-519) Section 8.4, “Compound Interest” (pp. 519 – 529) o C > This chapter explores the math behind our fi- nances. Percentages, simple interest, and compound interest computations are all ex- plored in the context of making financial decisions. 12:55 1 A class.content.laureate.net W E Menu TuvUU IUIU GUITISH IU AUUUU IIIIaUIUI VUI MATH 1030: College Math’ Week hned readings. Discussion: Repaying Loans Before taking out a loan, it is important to know the repayment terms and how your interest rate and the time of the loan affect the total loan balance. For this Discussion, you examine the effect of simple and compound interest, as well as time on the principal balance of a loan. You also explore how these variables affect loan repayment. To prepare for this Discussion: . Think of a big-ticket item you might need to take out a loan to purchase. Dream big. What have you always wanted? This could be a boat, car, motorcycle, a trip around the world, etc. Research the cost of this item. Select a reasonable interest rate for your item (between 2% and 10% is standard). Select a time period to pay off your loan (between 3 and 10 years is common). . With these thoughts in mind: By Day 3

(d) A skateboard ramp at a local park can be modelled by the equation 0.2×2 + 0.15x + 0.8 (-5 < x < 5), y = where x is the horizontal distance from the centre line of the ramp, and y is the vertical height of the ramp from the ground (both measured in metres). A sketch of the ramp is given in Figure 2. у centre line ramp – x -5 5 Figure 2 (i) Find the y-intercept of the parabola y = 0.2×2 + 0.15x + 0.8 [1] [2] (i.e. the height of the ramp at its centre line). (ii) (1) (1) By substituting x = -5 into the equation of the parabola, find the coordinates of the point where the line x = -5 meets the parabola. (2) Using your answer to part (d)(ii)(1), explain whether a ladder of height 3.5 m is long enough to reach the top of the left-hand side of the ramp. (iii) (1) Using algebra, show that the parabola does not have x-intercepts. (2) Explain what this means in the context of the situation being modelled. [2] [4] [1] page 5 of 8

Saad Abdullah Majrashi Assignment Homework 4 due 10/05/2021 at 11:59pm CDT f21akapshukt0320s002 5. (1 point) Given that f (x) = 5x − 1, calculate f ◦ f (−1)= 1. (1 point) For the function f (x) = x3 − 2, (a) sketch the graph of f (b) use the graph of f to sketch the graph of f −1 (c) enter the correct formula: Given that g(x) = 3 − x2 , calculate g ◦ g(3)= f −1 (x) = Answer(s) submitted: Answer(s) submitted: • • • (incorrect) (incorrect) 2. (1 point) Find the inverse function of √ f (x) = 3x + 1 6. (1 point) Let f (x) = 2x − 2 and g(x) = 3 − x2 . Evaluate the following: 1. f (g(0)) = 2. g( f (0)) = f −1 (x) = Answer(s) submitted: • • Answer(s) submitted: • (incorrect) (incorrect) √ 3. (1 point) Find the inverse function of f (x) = 6 + 3 x. f −1 (x) = 7. (1 point) Evaluate the function h(t) = 14 − 2t at 5 − t 3 without using a calculator. Simplify your answer as much as possible. Answer(s) submitted: h(5 − t 3 ) = • help (formulas) Answer(s) submitted: • (incorrect) 4. (1 point) Find the inverse for each of the following functions. (incorrect) 8. (1 point) Let f (x) = 3x + 3 and g(x) = 3×2 + 3x. Then, ( f ◦ g)(x) = f (x) = 2x + 12 f −1 (x) = g(x) = 3×3 − 12 Answer(s) submitted: • g−1 (x) = (incorrect) 2 x + 12 h−1 (x) = 9. (1 point) Let f (x) = x2 + 1 √ j(x) = 3 x + 3 j−1 (x) = Then h(x) = Answer(s) submitted: • • • • ( f ◦ f )(x) = ( f ◦ g)(x) = (g ◦ f )(x) = (incorrect) 1 . . . and g(x) = x2 − 1 • Answer(s) submitted: • • (incorrect) Generated by c WeBWorK, http://webwork.maa.org, Mathematical Association of America 2