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Solve please part 2 and 3. I finish part 1. please I don't have alot time Business on the beach Tina owns a hotel at

Solve please part 2 and 3.
I finish part 1.
please I don't have alot time
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image text in transcribed
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Business on the beach Tina owns a hotel at Myrtle Beach, South Carolina. The hotel has 400 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) Min high 140 The weather at the beach is as shown in the table. Max high = 33 Monthly Averages & Records - FIC Average Average Record Record Average Date Average Low High High Precipitation Snow Low January 10 140 -15.6 (1985) 28.3 (1957) 4.72" 0.3" February 3 16 -11.7" (1936) 29.4 (1930) 3.45" 1" March 70 20 -11.1 (1980) 34.4 (1935) 4.07" 0" April 10 240 -5.6 (1983) 35.6 (2002) 3.1" 0" May 15 28 1.7 (1963) 38.3 (1938) 4.26" 0" June 190 31 5.6 (1988) 41.1 (1954) 4.74" 0" July 22 33 10.6 (1933) 40 (2005) 6.7" 0" August 21 32 12.89 (1986) 41.1 (1954) 6.76" 0" September 18 29 7.2" (1995) 38.9" (1944) 5.86 0 October 12 24 -2.8" (1952) 36.7" (1954) 3.25 0 November 70 21 -8.9" (1950) 2.74 09 December 31.7" (1961) 28.9" (1943) 3 16 -13.3" (1989) 3:52 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. Y = A coses webwe y = 9.5C CCC) 2250 sub the lowest point, A Mesin 33-14-Loisele.95 ase) - 2256 9. 223.50 EXE) 9.5 (0) - 1459-23,50 b) Predict the high temperature for today from the model. Pick the day you are going to turn in the assignment. (Note: because we are assuming that a year has 360 days, make an appropriate adjustment.) State clearly the choice of the day. Explain your assumptions and reasoning doy y today)=9.5C tas ) - 177) +233.0 y today) - 95C 0.98) 35C 44day) 32.88 Sonadat Avenue Wighest w be 32.580 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 My Puerite day's high temperature, Date 11 january, t= 14 days Put this in equations, we get you) - 95'c cos (c) + 173"). 23.5C y (1) = 9.5C (-0,984) +23.5C yell) = -9.35" C +23.5C y11) = 14. 15C so the average highest temperature of my far day is 14.15 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 $120/per room. Tina decides to decrease charge by S5 for every room for every one degree in temperature 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 $4 decrease in the price, five more rooms are rented. And at the price of $120/day on average three hundred rooms are occupied. a) Determine the price Tina has to charge to have maximum revenue. b) Find the maximum revenue. Business on the beach Tina owns a hotel at Myrtle Beach, South Carolina. The hotel has 400 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) Min high 140 The weather at the beach is as shown in the table. Max high = 33 Monthly Averages & Records - FIC Average Average Record Record Average Date Average Low High High Precipitation Snow Low January 10 140 -15.6 (1985) 28.3 (1957) 4.72" 0.3" February 3 16 -11.7" (1936) 29.4 (1930) 3.45" 1" March 70 20 -11.1 (1980) 34.4 (1935) 4.07" 0" April 10 240 -5.6 (1983) 35.6 (2002) 3.1" 0" May 15 28 1.7 (1963) 38.3 (1938) 4.26" 0" June 190 31 5.6 (1988) 41.1 (1954) 4.74" 0" July 22 33 10.6 (1933) 40 (2005) 6.7" 0" August 21 32 12.89 (1986) 41.1 (1954) 6.76" 0" September 18 29 7.2" (1995) 38.9" (1944) 5.86 0 October 12 24 -2.8" (1952) 36.7" (1954) 3.25 0 November 70 21 -8.9" (1950) 2.74 09 December 31.7" (1961) 28.9" (1943) 3 16 -13.3" (1989) 3:52 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. Y = A coses webwe y = 9.5C CCC) 2250 sub the lowest point, A Mesin 33-14-Loisele.95 ase) - 2256 9. 223.50 EXE) 9.5 (0) - 1459-23,50 b) Predict the high temperature for today from the model. Pick the day you are going to turn in the assignment. (Note: because we are assuming that a year has 360 days, make an appropriate adjustment.) State clearly the choice of the day. Explain your assumptions and reasoning doy y today)=9.5C tas ) - 177) +233.0 y today) - 95C 0.98) 35C 44day) 32.88 Sonadat Avenue Wighest w be 32.580 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 My Puerite day's high temperature, Date 11 january, t= 14 days Put this in equations, we get you) - 95'c cos (c) + 173"). 23.5C y (1) = 9.5C (-0,984) +23.5C yell) = -9.35" C +23.5C y11) = 14. 15C so the average highest temperature of my far day is 14.15 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 $120/per room. Tina decides to decrease charge by S5 for every room for every one degree in temperature 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 $4 decrease in the price, five more rooms are rented. And at the price of $120/day on average three hundred rooms are occupied. a) Determine the price Tina has to charge to have maximum revenue. b) Find the maximum revenue

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