Tina owns a hotel at Myrtle beach, south Carolina and the hotel has 200 rooms. and my favourite day on part one is 31 May.

and todays date is 23 june.

please solve it based on the above information

Part 4: Tina's investment growth: Calculating the value of Tina's investment (K 3, A3, C 2 Marks) In the year 2012, Tina's average costs for maintaining the rooms are $25 for each room rented. In July 2012, Tina managed to rent all the rooms at the price calculated in part 3. a) Determine Tina's total revenue for the month July 2012. b) Determine the Tina's profit for the month of July 2012. c) Tina invested the profit she earned in July 2012 on Aug 1, 2012 in a saving account that earned 6.25% p.a. compounded monthly. Calculated the value of Tina's investment on July 31, 2019. d) Tina decided to reinvest this particular investment in a different account that earns 5.75% p.a. compounded daily. Calculate the value of Tina's investment today. e) Calculate the value Tina's investment for your favourite day in you chose in Part 1 in this year (2022) In the year 2012, Tina's average costs for maintaining the rooms are $25 for each room rented. In July 2012, Tina managed to rent all the rooms at the price calculated in part 3. a) Determine Tina's total revenue for the month July 2012. b) Determine the Tina's profit for the month of July 2012. c) Tina invested the profit she earned in July 2012 on Aug 1, 2012 in a saving account that earned 6.25% p.a. compounded monthly. Calculated the value of Tina's investment on July 31, 2019. d) Tina decided to reinvest this particular investment in a different account that earns 5.75% p.a. compounded daily. Calculate the value of Tina's investment today. e) Calculate the value Tina's investment for your favourite day in you chose in Part 1 in this year (2022) Business on the beach Tina owns a hotel at Myrtle Beach, South Carolina. The hotel has 200 rooms. In this activity we are going to help Tina improve her business and manage her money. There are 3 parts to this activity. Part 1: Develop an average high temperature calculator. (K 3, A3, T2, C2 Marks) The weather at the beach is as shown in the table. Monthly Averages & Records - "F"C Average Average Date Low High 14 16 January February March April May June July August September October November December 1 3 7" 10 15 19 22 21 18 12 7 3 20 24 28 31 33" 32" 29 24 21 16 Record Low -15.6 (1985) -11.7" (1936) -11.1" (1980) -5.6" (1983) 1.7" (1963) 5.6" (1988) 10.6" (1933) 12.8" (1986) 7.2" (1995) -2.8" (1952) -8.9 (1950) -13.3" (1989) Record High 28.3" (1957) 29.4* (1930) 34.4" (1935) 35.6" (2002) 38.3" (1938) 41.1" (1954) 40" (2005) 41.1" (1954) 38.9" (1944) 36.7" (1954) 31.7" (1961) 28.9" (1943) Average Precipitation Snow 4.72" 3.45" 4.07" 3.1" 4.26 4.74" 6.7" 6.76" 5.86" 3.25" 2.74" Average 3.62" 0.3" 1" 0" 0" 0" 0" 0" 0" 999 0" 0.6" September 18" October 12" November 7 December 3* 29 24" 21" 16" 5.86 7.2" (1995) 38.9" (1944) -2.8" (1952) 36.7" (1954) 3.25" -8.9" (1950) 31.7" (1961) 2.74" -13.3" (1989) 28.9" (1943) 3.62" 0" 0.6* a) Determine a sinusoidal function where the independent variable is the day of the year and the dependent variable is the average high temperature. For simplicity we will assume that a year has 360 days. And we will also assume that On Jan 1" the value of minimum is reached and on July 1", the value of maximum is reached. b) Predict the high temperature for today from the model. (Note: because we are assuming that a year has 360 days, make an appropriate adjustment.) Explain your assumptions and reasoning. c) Pick your favourite day of the year, your birthday or some other day, and predict the high temperature for that day from the model. Part 2: Pricing Model based on temperature: Calculating revenue per day based on the temperature. (K 2, A2, T1, C1 Marks) We will assume that hotel is completely booked on July 1" and Tina charges $80/per room. Tina decides to decrease charge by S5 for every room for every one degree in temperature change from the maximum. a) Calculate the room charge for "today" of part 1. b) Calculate the room charge for your favourite day you chose in Part 1. Part 3: Pricing Model based on occupancy: Calculating maximum revenue per day based on the temperature. (K 2, A2, T2 Marks) Research has shown that for every $2 decrease in the price, four more rooms are rented. And at the price of $80/day on average two hundred rooms are occupied. a) Determine the price Tina has to charge to have maximum revenue. b) Find the maximum revenue. Part 4: Tina's investment growth: Calculating the value of Tina's investment (K 3, A3, C 2 Marks) In the year 2012, Tina's average costs for maintaining the rooms are $25 for each room rented. In July 2012, Tina managed to rent all the rooms at the price calculated in part 3. a) Determine Tina's total revenue for the month July 2012. b) Determine the Tina's profit for the month of July 2012. c) Tina invested the profit she earned in July 2012 on Aug 1, 2012 in a saving account that earned 6.25% p.a. compounded monthly. Calculated the value of Tina's investment on July 31, 2019. d) Tina decided to reinvest this particular investment in a different account that carns 5.75% p.a. compounded daily. Calculate the value of e of Tina's investment today. e) Calculate the value Tina's investment for your favourite day in you chose in Part 1 in this year (2022) Part 4: Tina's investment growth: Calculating the value of Tina's investment (K 3, A3, C 2 Marks) In the year 2012, Tina's average costs for maintaining the rooms are $25 for each room rented. In July 2012, Tina managed to rent all the rooms at the price calculated in part 3. a) Determine Tina's total revenue for the month July 2012. b) Determine the Tina's profit for the month of July 2012. c) Tina invested the profit she earned in July 2012 on Aug 1, 2012 in a saving account that earned 6.25% p.a. compounded monthly. Calculated the value of Tina's investment on July 31, 2019. d) Tina decided to reinvest this particular investment in a different account that earns 5.75% p.a. compounded daily. Calculate the value of Tina's investment today. e) Calculate the value Tina's investment for your favourite day in you chose in Part 1 in this year (2022) In the year 2012, Tina's average costs for maintaining the rooms are $25 for each room rented. In July 2012, Tina managed to rent all the rooms at the price calculated in part 3. a) Determine Tina's total revenue for the month July 2012. b) Determine the Tina's profit for the month of July 2012. c) Tina invested the profit she earned in July 2012 on Aug 1, 2012 in a saving account that earned 6.25% p.a. compounded monthly. Calculated the value of Tina's investment on July 31, 2019. d) Tina decided to reinvest this particular investment in a different account that earns 5.75% p.a. compounded daily. Calculate the value of Tina's investment today. e) Calculate the value Tina's investment for your favourite day in you chose in Part 1 in this year (2022) Business on the beach Tina owns a hotel at Myrtle Beach, South Carolina. The hotel has 200 rooms. In this activity we are going to help Tina improve her business and manage her money. There are 3 parts to this activity. Part 1: Develop an average high temperature calculator. (K 3, A3, T2, C2 Marks) The weather at the beach is as shown in the table. Monthly Averages & Records - "F"C Average Average Date Low High 14 16 January February March April May June July August September October November December 1 3 7" 10 15 19 22 21 18 12 7 3 20 24 28 31 33" 32" 29 24 21 16 Record Low -15.6 (1985) -11.7" (1936) -11.1" (1980) -5.6" (1983) 1.7" (1963) 5.6" (1988) 10.6" (1933) 12.8" (1986) 7.2" (1995) -2.8" (1952) -8.9 (1950) -13.3" (1989) Record High 28.3" (1957) 29.4* (1930) 34.4" (1935) 35.6" (2002) 38.3" (1938) 41.1" (1954) 40" (2005) 41.1" (1954) 38.9" (1944) 36.7" (1954) 31.7" (1961) 28.9" (1943) Average Precipitation Snow 4.72" 3.45" 4.07" 3.1" 4.26 4.74" 6.7" 6.76" 5.86" 3.25" 2.74" Average 3.62" 0.3" 1" 0" 0" 0" 0" 0" 0" 999 0" 0.6" September 18" October 12" November 7 December 3* 29 24" 21" 16" 5.86 7.2" (1995) 38.9" (1944) -2.8" (1952) 36.7" (1954) 3.25" -8.9" (1950) 31.7" (1961) 2.74" -13.3" (1989) 28.9" (1943) 3.62" 0" 0.6* a) Determine a sinusoidal function where the independent variable is the day of the year and the dependent variable is the average high temperature. For simplicity we will assume that a year has 360 days. And we will also assume that On Jan 1" the value of minimum is reached and on July 1", the value of maximum is reached. b) Predict the high temperature for today from the model. (Note: because we are assuming that a year has 360 days, make an appropriate adjustment.) Explain your assumptions and reasoning. c) Pick your favourite day of the year, your birthday or some other day, and predict the high temperature for that day from the model. Part 2: Pricing Model based on temperature: Calculating revenue per day based on the temperature. (K 2, A2, T1, C1 Marks) We will assume that hotel is completely booked on July 1" and Tina charges $80/per room. Tina decides to decrease charge by S5 for every room for every one degree in temperature change from the maximum. a) Calculate the room charge for "today" of part 1. b) Calculate the room charge for your favourite day you chose in Part 1. Part 3: Pricing Model based on occupancy: Calculating maximum revenue per day based on the temperature. (K 2, A2, T2 Marks) Research has shown that for every $2 decrease in the price, four more rooms are rented. And at the price of $80/day on average two hundred rooms are occupied. a) Determine the price Tina has to charge to have maximum revenue. b) Find the maximum revenue. Part 4: Tina's investment growth: Calculating the value of Tina's investment (K 3, A3, C 2 Marks) In the year 2012, Tina's average costs for maintaining the rooms are $25 for each room rented. In July 2012, Tina managed to rent all the rooms at the price calculated in part 3. a) Determine Tina's total revenue for the month July 2012. b) Determine the Tina's profit for the month of July 2012. c) Tina invested the profit she earned in July 2012 on Aug 1, 2012 in a saving account that earned 6.25% p.a. compounded monthly. Calculated the value of Tina's investment on July 31, 2019. d) Tina decided to reinvest this particular investment in a different account that carns 5.75% p.a. compounded daily. Calculate the value of e of Tina's investment today. e) Calculate the value Tina's investment for your favourite day in you chose in Part 1 in this year (2022)