Matt and Lisa are driving together to a shopping mall, looking forward to buying some clothes. Matt wants to stop by Sports Authority to buy the new jersey of his favorite hockey team, whereas Lisa wants to go to Banana Republic to buy a new outfit. Both find the idea of going together to both stores a little boring, so they agreed beforehand to split and go individually to their desired store. After shopping individually, they decide to meet at Applebee’s to grab some food before leaving. The Banana republic, the Sports Authority shops and the Applebee’s are located at (2, 3), (5, 5) and (1, 4), respectively. Suppose that the parking lot is located in a straight line given by the function y = 1/3x − 1. That is, customers can park in the mall as long as they do it on top of the line. 3-1. Assuming rectilinear distances, where should they park the car in order to minimize the total distance they must walk? Explain your results. 3-2. Suppose Matt is recovering from a leg injury, so they decided that Matt’s walking distance is twice as valuable as Lisa’s walking distance. Find the new optimal parking spot.

1 ____( solve_R__RStudio )

You’ve been hired as a consultant for a new planned NYC “quadrathalon”, in which participants run from Hunter’s Point South Park in Queens to Socrates Sculpture garden, take a kayak from there to Roosevelt Island, swim from there to John Jay park on Manhattan, cycle across to the Boat Basin, then swim down to a concluding party at Riverside pier 1. The organizers are worried about pollution while swimming in the two rivers. Studies have show the East River has unacceptable pollution levels a percentage of time given by p_E in the data sheet, while the Hudson river has unacceptable levels p_H of the time. Assuming these probabilities are independent answer the following:

p_E = 52   p_H = 22   p_HE = 37

1. What is the probability of having only one river contaminated? (they can move the kayak section from one river to the other).
2. What is the probability of having neither river contaminated?

You have received new information: if the East River is contaminated, the chances of the Hudson river also being contaminated goes up to p_HE (Manhattan pollutes both).   Redo the questions above using this new information.

____( solve_R__RStudio )

You’ve been hired as a consultant for a new planned NYC “quadrathalon”, in which participants run from Hunter’s Point South Park in Queens to Socrates Sculpture garden, take a kayak from there to Roosevelt Island, swim from there to John Jay park on Manhattan, cycle across to the Boat Basin, then swim down to a concluding party at Riverside pier 1. The organizers are worried about pollution while swimming in the two rivers. Studies have show the East River has unacceptable pollution levels a percentage of time given by p_E in the data sheet, while the Hudson river has unacceptable levels p_H of the time. Assuming these probabilities are independent answer the following:

p_E = 52   p_H = 22   p_HE = 37

-What is the probability of having only one river contaminated? (they can move the kayak section from one river to the other).

-What is the probability of having neither river contaminated?

You have received new information: if the East River is contaminated, the chances of the Hudson river also being contaminated goes up to p_HE (Manhattan pollutes both).   Redo the questions above using this new information.

A singer quartet consisting of Angel, Betty, Carlos and Diana wants to practice their singing. However due to the pandemic they decide to do so at a baseball park to keep social distancing. Angel stands on the home plate, Betty goes to third base, Carlos to second base and Diana to first base. While they are getting ready a bird flies along the line joining third base and home, Betty says “That bird is singing at a frequency of 350 hertz”, but Angel says “No, it is singing at 340 hertz.” Soon after the bird leaves the park Diana sings a 440 hertz note, Carlos hears it 0.1 second later and sings a 261 hertz note.

Part a

Make a drawing of the bird’s flight path along the line joining third base and home, with an arrow indicating the direction of flight, towards home or away from home.

Part b

Explain why you chose that direction, include any equations that support your explanation.

Part c

How far is Carlos from Diana? Show your calculations.

Part d

What is the period of Carlos’ note at 261 Hertz. Include your calculations

An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use . Factor A is method of loading and unloading; Factor B is the type of ride.

Set up the ANOVA table (to whole number, but -value to 2 decimals and value to 1 decimal, if necessary). The p-value for Factor A is? What is your conclusion with respect to Factor A? The p-value for Factor B is? What is your conclusion with respect to Factor B? The p-value for the interaction of factors A and B is? What is your conclusion with respect to the interaction of Factors A and B? What is your recommendation to the amusement park?

The lease of Theme Park, Inc., is about to expire. Management must decide whether to renew the lease for another 10 years or to relocate near the site of a proposed motel. The town planning board is currently debating the merits of granting approval to the motel. A consultant has estimated the net present value of Theme Park’s two alternatives under each state of nature as shown below. Suppose that the management of Theme Park, Inc., has decided that there is a 0.21 probability that the motel’s application will be approved.

a-1.
If management uses maximum expected monetary value as the decision criterion, calculate expected monetary value for the alternatives "Renew" and "Relocate"? (Omit the "$" sign in your response.)

a-2. Which alternative should it choose?

• Renew lease??

• Relocate??

c. If management has been offered the option of a temporary lease while the town planning board considers the motel’s application, would you advise management to sign the lease? The lease will cost $21,000. (Omit the "$" sign in your response.)

Yes  because the cost is less  than EVPI of $ ??? .

HAS TO BE SOLVED IN EXCEL

Exercise 5A–1 High-Low Method LO5–11 NEEDS to be solved and shown in excel The Cheyenne Hotel in Big Sky, Montana, has accumulated records of the total electrical costs of the hotel and the number of occupancy-days over the last year. An occupancy-day represents a room rented for one day. The hotel’s business is highly seasonal, with peaks occurring during the ski season and in the summer. Month Occupancy-Days Electrical Costs January 1,736 $  4,127 February 1,904 $4,207 March 2,356 $5,083 April 960 $2,857 May 360 $   1,871 June 744 $2,696 July 2,108 $4,670 August 2,406 $ 5,148 September 840 $   2,691 October 124 $   1,588 November 720 $2,454 December 1,364 $3,529 Required: Using the high-low method, estimate the fixed cost of electricity per month and the variable cost of electricity per occupancy-day. Round off the fixed cost to the nearest whole dollar and the variable cost to the nearest whole cent. What other factors in addition to occupancy-days are likely to affect the variation in electrical costs from month to month

The following partial organization chart is an extension of Exhibit 12–1 for Aloha Hotels and Resorts. ■ Problem 12–41 Designating Responsibility Centers; Hotel (LO 12-2) Waikiki Sands Hotel Grounds and Maintenance Department Front Desk Housekeeping and Custodial Department Food and Beverage Department Hospitality Department Bell Sta Guest Services Recreational Services Department Each of the hotel’s five main departments is managed by a director (e.g., director of hospitality). The Front Desk subunit, which is supervised by the front desk manager, handles the hotel’s reservations, room assignments, guest payments, and key control. The Bell Staff, managed by the bell captain, is responsible for greeting guests, front door service, assisting guests with their luggage, and delivering room-service orders. The Guest Services subunit, supervised by the manager of Guest Services, is responsible for assisting guests with local transportation arrangements, advising guests on tourist attractions, and such conveniences as valet and floral services. Required: As an outside consultant, write a memo to the hotel’s general manager suggesting a responsibility- center designation for each of the subunits shown in the organization chart above. Justify your choices.

You’ve been hired as a consultant for a new planned NYC “quadrathalon”, in which participants run from Hunter’s Point South Park in Queens to Socrates Sculpture garden, take a kayak from there to Roosevelt Island,  swim from there to John Jay park on Manhattan, cycle across to the Boat Basin, then swim down to a concluding party at Riverside pier 1.  The organizers are worried about pollution while swimming in the two rivers.  Studies have show the East River has unacceptable pollution levels a percentage of time given by p_E in the data sheet, while the Hudson river has unacceptable levels p_Hof the time.  Assuming these probabilities are independent answer the following:

p_E =  52  p_H =  22   p_HE = 37

1. What is the probability of having only oneriver contaminated? (they can move the kayak section from one river to the other).
2. What is the probability of having neitherriver contaminated?

You have received new information: if the East River is contaminated, the chances of the Hudson river also being contaminated goes up to p_HE(Manhattan pollutes both).   Redo the questions above using this new information.