please show work and/or explain how you got your answer. thank you!

Name: PTS Assigned: 70 MKTG 460 Homework 4: Chapter4 Instructions: Handwrite your work and answers in great detail on a print-out of this document. Do not write your answers on any other paper (a penalty of a 10% deduction from the points assigned). write your dollar to the nearest whole number. Write your percentages and rates to two decimal places. I. The starting and ending balances are $200 and $300 at Year 1 and Year 6, respectively. What is the CAGR(%)? 2. Joker sells Regular Face umbrellas on a small beach where he is the only provider (monopolist). His financials for last month were as follows Price: $20 Next month, Joker will introduce Pink Face. Projected financials for it are as follows: Price: $30 UVC: $10 Total unit sales per month: 100 UVC: $15 Total unit sales per month: s0 a) Suppose there is no cannibalization. How much total contribution does Joker expect next month? Unit contribution-Regulara Unit contribution-Pink- Total unit sales- Total contribution-Regular Total contribution-Pink- Total contribution b) Joker now thinks that the unit cannibalization rate for Pink Face will be 60%. Derive his projected financials after accounting for cannibalization. Regular sales lost- New Regular sales- New total contribution-Regular- Joker's total monthly contribution- c) Compare your results in a) against those in b). What happened? How did it happen? 3. Kill Bill's unit sales in 2010 and 2011 are broken down as follows: 2011 Sales 4,500 2,500 5,000 7,000 8,000 1,000 Store 2010 Sales 5,500 3,000 5,000 8,000 2,500 N/A Remember that Store 6 was opened in 2011. Compute the Kill Bill's same store growth rate. 4, Rene's Tofu sold 10,000 bbq tofu dogs in 2011. This represented a 25% decrease over the previous year. a) How many tofu dogs did she sell in 2010? b) If sales changed by the same % in 2012, how many tofu dogs would she forecast to sell in 2012? In 2010, India's GDP was $4.5 trillion. In 2009 it was $4 trillion. India's population in 2010 was 1,190,000,000 people which represented a population growth rate of 2% over 2009. a) what was India's growth rate (%) in GDP from 2009 to 2010? 5. b) What was India's GDP per capita in 2009? c) What was India's GDP per capita in 2010? d) What was India's growth (%) in GDP per capita from 2009 to 2010? Baker's 401(k) had the following yearly returns: 10%,40%,-10%, and 60% in 07, 08, 09, and 10, respectively. Compute the average return to 4 decimal places. Show all necessary elements and your formula explicitly. 6, In 2009, International University (IU) had an enrollment of 25,000 undergraduates, each of whom paid $6,000 per year in tuition. In 2010, enrollment increased to 26,000 students, and tuition was raised 5%. In 2011, lu received $178,200,000 in revenue from student tuition, and enrollment was 27,000 students. In 2012, it is estimated that tuition will be $6,900 and iu needs to receive 9% more total revenue from tuition than in 2011 7. a) What was the tuition in 20101? b) What was the tuition in 2011? c) What was the growth rate of tuition from 2010 to 2011? d) What is the revenue goal for 2012? e) How many students must IU enroll to meet the 2012 revenue goal? f) What is the average annual growth rate of tuition for 2009 to 2012? Natalie's Nail Salon has 2 locations: Natalie's Downtown, and Natalie's By-the-Beach. The two salons combined performed 320 pedicures in the first quarter of 2011, and 400 pedicures in the second quarter. Pedicures cost $8.50 at both locations in Q1 and Q2, Natalie notices that in Q1, 30% of pedicures are performed at By-the-Beach but in Q2, 55% of the total were performed there. Natalie's sales goals for Quarter 3 are 6% growth in each location compared to Quarter 2, Natalie is considering raising pedicures prices to S11 at both locations in Q3 to increase revenue. 8. a) What was the overall pedicure growth rate from Ql to Q2 b) Assuming quarterly growth remains constant, what would be the annual growth rate? c) What was the quarterly growth rate for pedicures at the By-the-Beach location? d) How many pedicures must be performed at By-the-Beach in Quarter 3 to achieve the growth goal? e) How many pedicures must be performed total at both locations in Quarter 3 to achieve the growth goal? f) What will be goals at both locations? Natalie's pedicure revenue growth rate for Q3 be if she raises prices and meets her sales Red Pool wants to project the volume of sales for a new product idea in the next year. The target population consists of 30 million people. The firm assumes that each person buys 2 units when trying the product. The new product shall obtain an ACV of 90% and generate 70% awareness. The customer survey yields: 9. Question: How likely are you to purchase the new product featured in the video? Response (5) Very Likely (4) Somewhat Likely (3) Neutral (2) Somewhat Unlikely (1) Very Unlikely 50% 40% 5% 5% 0% Marketers don't believe that those who answer "Neutral," "Somewhat Unlikely,"or "Very Unlikely" shall try a new product. Moreover, they estimate that 80% and 60% of those who answer "Very Likely" and "Somewhat Likely" shall in fact buy the product, respectively. They also believe that the new product generates 30% repeat rate and that each repeat buyer purchases on 7 occasions and buys 4 units per each repurchase occasion. a) Compute the trial rate (%): b) Compute the adjusted trial rate (%): c) Compute the trial population: d) Compute the trial volume: e) Compute the repeat buyers: f) Compute the repeat volume: g) Compute the total volume: 10. Wood Paper plans to launch a new notepad product that is water resistant. The company wants to sell 40,000,000 of the new notepads next year and wants to know what trial rate is required to achieve this goal. The market research group has forecast an awareness rate of 75% and an ACV% of 60%. Of those that try the product by purchasing 2 notepad, 30% will repurchase 4 notepads per year. There are 250,000,000 notepad consumers in the target market. Total fixed costs to Wood Paper Company to manufacture this new notepad are $11,000,000, with variable costs of $3 per notepad. Instruction: Write percentages to two decimal places (eg., 45.12%), write your formulae explicitly and clearly. Show your work in detail. Circle and label final answers. a) What trial rate is required to achieve the company's goal? b) what is the total number of first time triers expected in the target market assuming a trial rate of 20%? c) If wood is able to sell their new notepads for S7, what is the break-even volume (a)? d) If Wood sells their notepads for $7 each, what is the total contribution earned from trial sales? Assume a trial rate of 20%. In order to achieve the original sales goal of 40,000,000 notepads, what ACV% will be required if Wood instead achieves a 50% repeat purchase rate and a trial rate of 10%? e) Name: PTS Assigned: 70 MKTG 460 Homework 4: Chapter4 Instructions: Handwrite your work and answers in great detail on a print-out of this document. Do not write your answers on any other paper (a penalty of a 10% deduction from the points assigned). write your dollar to the nearest whole number. Write your percentages and rates to two decimal places. I. The starting and ending balances are $200 and $300 at Year 1 and Year 6, respectively. What is the CAGR(%)? 2. Joker sells Regular Face umbrellas on a small beach where he is the only provider (monopolist). His financials for last month were as follows Price: $20 Next month, Joker will introduce Pink Face. Projected financials for it are as follows: Price: $30 UVC: $10 Total unit sales per month: 100 UVC: $15 Total unit sales per month: s0 a) Suppose there is no cannibalization. How much total contribution does Joker expect next month? Unit contribution-Regulara Unit contribution-Pink- Total unit sales- Total contribution-Regular Total contribution-Pink- Total contribution b) Joker now thinks that the unit cannibalization rate for Pink Face will be 60%. Derive his projected financials after accounting for cannibalization. Regular sales lost- New Regular sales- New total contribution-Regular- Joker's total monthly contribution- c) Compare your results in a) against those in b). What happened? How did it happen? 3. Kill Bill's unit sales in 2010 and 2011 are broken down as follows: 2011 Sales 4,500 2,500 5,000 7,000 8,000 1,000 Store 2010 Sales 5,500 3,000 5,000 8,000 2,500 N/A Remember that Store 6 was opened in 2011. Compute the Kill Bill's same store growth rate. 4, Rene's Tofu sold 10,000 bbq tofu dogs in 2011. This represented a 25% decrease over the previous year. a) How many tofu dogs did she sell in 2010? b) If sales changed by the same % in 2012, how many tofu dogs would she forecast to sell in 2012? In 2010, India's GDP was $4.5 trillion. In 2009 it was $4 trillion. India's population in 2010 was 1,190,000,000 people which represented a population growth rate of 2% over 2009. a) what was India's growth rate (%) in GDP from 2009 to 2010? 5. b) What was India's GDP per capita in 2009? c) What was India's GDP per capita in 2010? d) What was India's growth (%) in GDP per capita from 2009 to 2010? Baker's 401(k) had the following yearly returns: 10%,40%,-10%, and 60% in 07, 08, 09, and 10, respectively. Compute the average return to 4 decimal places. Show all necessary elements and your formula explicitly. 6, In 2009, International University (IU) had an enrollment of 25,000 undergraduates, each of whom paid $6,000 per year in tuition. In 2010, enrollment increased to 26,000 students, and tuition was raised 5%. In 2011, lu received $178,200,000 in revenue from student tuition, and enrollment was 27,000 students. In 2012, it is estimated that tuition will be $6,900 and iu needs to receive 9% more total revenue from tuition than in 2011 7. a) What was the tuition in 20101? b) What was the tuition in 2011? c) What was the growth rate of tuition from 2010 to 2011? d) What is the revenue goal for 2012? e) How many students must IU enroll to meet the 2012 revenue goal? f) What is the average annual growth rate of tuition for 2009 to 2012? Natalie's Nail Salon has 2 locations: Natalie's Downtown, and Natalie's By-the-Beach. The two salons combined performed 320 pedicures in the first quarter of 2011, and 400 pedicures in the second quarter. Pedicures cost $8.50 at both locations in Q1 and Q2, Natalie notices that in Q1, 30% of pedicures are performed at By-the-Beach but in Q2, 55% of the total were performed there. Natalie's sales goals for Quarter 3 are 6% growth in each location compared to Quarter 2, Natalie is considering raising pedicures prices to S11 at both locations in Q3 to increase revenue. 8. a) What was the overall pedicure growth rate from Ql to Q2 b) Assuming quarterly growth remains constant, what would be the annual growth rate? c) What was the quarterly growth rate for pedicures at the By-the-Beach location? d) How many pedicures must be performed at By-the-Beach in Quarter 3 to achieve the growth goal? e) How many pedicures must be performed total at both locations in Quarter 3 to achieve the growth goal? f) What will be goals at both locations? Natalie's pedicure revenue growth rate for Q3 be if she raises prices and meets her sales Red Pool wants to project the volume of sales for a new product idea in the next year. The target population consists of 30 million people. The firm assumes that each person buys 2 units when trying the product. The new product shall obtain an ACV of 90% and generate 70% awareness. The customer survey yields: 9. Question: How likely are you to purchase the new product featured in the video? Response (5) Very Likely (4) Somewhat Likely (3) Neutral (2) Somewhat Unlikely (1) Very Unlikely 50% 40% 5% 5% 0% Marketers don't believe that those who answer "Neutral," "Somewhat Unlikely,"or "Very Unlikely" shall try a new product. Moreover, they estimate that 80% and 60% of those who answer "Very Likely" and "Somewhat Likely" shall in fact buy the product, respectively. They also believe that the new product generates 30% repeat rate and that each repeat buyer purchases on 7 occasions and buys 4 units per each repurchase occasion. a) Compute the trial rate (%): b) Compute the adjusted trial rate (%): c) Compute the trial population: d) Compute the trial volume: e) Compute the repeat buyers: f) Compute the repeat volume: g) Compute the total volume: 10. Wood Paper plans to launch a new notepad product that is water resistant. The company wants to sell 40,000,000 of the new notepads next year and wants to know what trial rate is required to achieve this goal. The market research group has forecast an awareness rate of 75% and an ACV% of 60%. Of those that try the product by purchasing 2 notepad, 30% will repurchase 4 notepads per year. There are 250,000,000 notepad consumers in the target market. Total fixed costs to Wood Paper Company to manufacture this new notepad are $11,000,000, with variable costs of $3 per notepad. Instruction: Write percentages to two decimal places (eg., 45.12%), write your formulae explicitly and clearly. Show your work in detail. Circle and label final answers. a) What trial rate is required to achieve the company's goal? b) what is the total number of first time triers expected in the target market assuming a trial rate of 20%? c) If wood is able to sell their new notepads for S7, what is the break-even volume (a)? d) If Wood sells their notepads for $7 each, what is the total contribution earned from trial sales? Assume a trial rate of 20%. In order to achieve the original sales goal of 40,000,000 notepads, what ACV% will be required if Wood instead achieves a 50% repeat purchase rate and a trial rate of 10%? e)