Consider the movie ticket and popcorn example discussed in Section 17.7. The theater sells two products, tickets and popcorn. Suppose the weekly demand for movie tickets is

          Qdtix=500−25Ptix−20Ppopcorn,

where P_tix and P_popcorn are the prices of a ticket and a bag of popcorn, respectively. Suppose that each time a moviegoer buys a ticket, his demand for popcorn is

          Qdpopcorn=3−0.4Ppopcorn,

where Q^d_popcorn is the number of bags of popcorn the moviegoer buys. Suppose further that the theater's marginal cost of a ticket is $2, while the marginal cost of popcorn is $3.

Instructions: Round your answer to 2 decimal places.

a. What is the profit-maximizing price of a movie ticket if a bag of popcorn sells for $5 a bag?

    $.

*****IN JAVA****

Implement a theater seating chart  as a two-dimensional array of ticket prices, like this:

{10, 10, 10, 10, 10, 10, 10, 10, 10, 10}

{10, 10, 10, 10, 10, 10, 10, 10, 10, 10}

{10, 10, 10, 10, 10, 10, 10, 10, 10, 10}

{10, 10, 20, 20, 20, 20, 20, 20, 10, 10}

{10, 10, 20, 20, 20, 20, 20, 20, 10, 10}

{10, 10, 20, 20, 20, 20, 20, 20, 10, 10}

{20, 20, 30, 30, 40, 40, 30, 30, 20, 20}

{20, 30, 30, 40, 50, 50, 40, 30, 30, 20}

{30, 40, 50, 50, 50, 50, 50, 50, 40, 30}

Write a code snippet that:

- uses a for loop to print the array with spaces between the seat prices

- prompts users to pick a row and a seat using a while loop and a sentinel to stop the loop.

- outputs the seat price to the user.

1. Theater tickets for a hit show have four prices depending on seating. The prices ae $50, $100, $150 and $200. The probability a ticket sells for $50 is .4. The probability it sells for $100 is .15. The probability it sells for $150 is .2.

1. Find the probability a ticket sells for $200.

2. Find the expected cost (mean cost) of a ticket.

3. Find the standard deviation for the cost of a ticket

4. Find the variance for the cost of a ticket

2. A person pays $2.00 to play the following carnival game: A die is rolled one time. If an even number comes up the person pays an additional $2.50. If it comes up odd, the player receives a payment of $5.00 and gets the $2.00 back. Find the players expected profit if (s)he plays this game.

3. Sixty percent of all shoppers in a given shopping center use credit cards for their purchases. If 20 shoppers make purchases, find the probability that:

1. exactly 12 use credit cards.

2. exactly 7 do not use credit cards.

3. At most 10 use credit cards

4. More than 13 use credit cards

4. The probability a person passes the Bar exam is .46. If 290 people in this city take the exam:

1. Find the mean number who pass.

2. Find the standard deviation for the number who pass.

5. Find each of the following probabilities for a value chosen at random from a Standard Normal (Z) distribution.

1. the probability the value is more than 2.7

2. the probability the value is between –2.01 and 2.21

3. The probability the value is less than –3.2

6. The hourly wage for workers in a fast food restaurant is Normally distributed with a mean of $5.85 and a standard deviation of $0.35. If a worker is selected at random, find the probability that:

1. (S)he earns less than $5.50 an hour

2. (S)he earns between $5.90 and $6.40 an hour.

3. (S)he earns at least $6.00 an hour

7. The mean cost of living for a family of four in cities across the country is $65,351 with a standard deviation of $7712. A company is thinking of relocating to a city with a cost of living that is in the bottom 40% of all the cities. Assuming that the distribution is Normally distributed, what is the cutoff score for a city that would make it eligible for consideration by this company?

8. 45% of people have type O blood . If 400 volunteers show up to donate blo, use the Normal approximation to the binomial to find the probability that more than 175 but at most 182 have type O blood.

9. The mean annual rainfall in a particular region is 80 inches with a standard deviation of 8 inches. If a sample of 32 years is selected, what is the probability that the mean annual rainfall for this sample will be less than 79 inches?

Java

I'm trying to create a program that replicates a theater ticket reservation system. I have a Seat class with members row(integer), seat(character) and ticketType(character). Where a ticket type can be 'A' adult, 'C' child, 'S' senior, or '.' recorded as empty. I have a Node generic class that points to other nodes(members): up, Down. Left, Right. It also has a generic payload. Lastly, I have an Auditorium class which is also generic. its member is a First Node<T>.

As you can see, its a linked list of nodes where each node is supposed to be a seat (Node<Seat>). The Auditorium is supposed to be a grid of Seat Nodes that contain the seat information within. This way, I can later use the information to intake customer orders and check availability, recommend a best option if not available, etc.

My problem is I'm having trouble creating an overloaded constructor for the Auditorium class. The current auditorium seating information is held in a text file with text such as:

AA.AA....AAA..AACCSS
..AC.....A.........A
S...........AACCCAAC
.AA...CC.SS.....SSC.
A.A..S...S..A......A

I need to add each seat into a node into the auditorium grid before asking the customer for their order to know seat availability.

I tried creating this LONG constructor, but I think the issue is converting the item of type Seat into an item or generic T ((T)currentSeat). This causes the auditorium to output A as ticket type for EVERY single seat in the auditorium. Could you give advice on how to better create an auditorium through the constructor?

       for(int i = 0 ; i < rows ; i++)
       {
           //System.out.println("row " + i);
           currentRowFromFile = readFile.nextLine();
          
           for (int j = 0; j < columns; j++)
           {
               //System.out.println( "column " + j);
               currentSeat.setRow(i);
               currentSeat.setSeat((char)('A'+ j));
               //System.out.print("seat column ");
               //System.out.println((char)('A'+ j));
               currentSeat.setTicketType(currentRowFromFile.charAt(j));
               if(j == 0 && i == 0)
               {
                   First = new Node<T> ((T)currentSeat);  
                   lastNodeCreated = First;
                   thisRowsFirstElement = First;
                   System.out.println("The node being added for index " + i + " " + j + "has seat type: " + currentSeat.getTicketType());
               }
               if(j == 0 && i!= 0) // new row first element
               {
                   //first column on a different row
                   Node<T>newNodeToInsert = new Node<T>((T)currentSeat);
                   thisRowsFirstElement.setDown(newNodeToInsert);   //move down
                   thisRowsFirstElement.getDown().setUp(thisRowsFirstElement);
                   thisRowsFirstElement = thisRowsFirstElement.getDown(); // now continue on this row
                   lastNodeCreated = thisRowsFirstElement;
                   System.out.println("The node being added for index " + i + " " + j + "has seat type: " + currentSeat.getTicketType());
               }
               else if(i == 0 && j != 0) // top row
               {
                   Node<T> newNodeToInsert = new Node<T>((T)currentSeat);
                   lastNodeCreated.setRight(newNodeToInsert);
                   lastNodeCreated.getRight().setLeft(lastNodeCreated); // <-->
                   lastNodeCreated = lastNodeCreated.getRight();  
                   System.out.println("The node being added for index " + i + " " + j + "has seat type: " + currentSeat.getTicketType());
               }
               else if(i != 0 && j != 0) // not top row or first column
               {
                   Node <T> newNodeToInsert = new Node<T> ((T)currentSeat);
                   lastNodeCreated.setRight(newNodeToInsert);
                   lastNodeCreated.getRight().setLeft(lastNodeCreated);
                   lastNodeCreated.getRight().setUp(lastNodeCreated.getUp().getRight());
                   lastNodeCreated.getUp().getRight().setDown(lastNodeCreated.getRight());
                   lastNodeCreated = lastNodeCreated.getRight();
                   System.out.println("The node being added for index " + i + " " + j + "has seat type: " + currentSeat.getTicketType());
               }
           }
  

Forte Inc. produces and sells theater set designs and costumes. The company began operations on January 1, Year 1. The following transactions relate to securities acquired by Forte Inc., which has a fiscal year ending on December 31:

Record these transactions on page 11:

Forte Inc. produces and sells theater set designs and costumes. The company began operations on January 1, Year 1. The following transactions relate to securities acquired by Forte Inc., which has a fiscal year ending on December 31:

Record these transactions on page 10:

Record these transactions on page 11:

the manager of an amusement park would like to be able to predict daily attendance in order to develop more accurate plans about how much food to order and how many ride operators to hire. after some consideration, he decided the following three factors are critical: 1. Yesterday's attendance 2. Weekday or Weekend 3. Predicted Weather He then took a random sample of 40 days. For each day, he recorded the attendance, day of the week, and weather forecast. The first independent variable is interval, but the other two are nominal. Accordingly, he created the following sets of indicator variables:

I1 = 1- (IF WEEKEND) 0 - (IF NOT)

I2 = 1 - (IF MOSTLY SUNNY IS PREDICTED) 2 - (IF NOT)

I3 = 1 - (IF RAIN IS PREDICTED) 2 - (IF NOT)

A. Conduct regression analysis

B. Is model valid? Explain

C. Can we conclude weather is a factor in determining attendance

D. Do these results provide sufficient evidence that weekend attendance is, on average, larger than weekday attendance?  

I will attach data in another question

#1. [Water Slide & Swing] You are designing a slide for a water park. In a sitting position, park guests slide a vertical distance h down the water slide, which has negligible friction. When they reach the bottom of the slide, they grab a handle at the bottom end of a 6.00-m-long uniform pole. The pole hangs vertically, initially at rest. The upper end of the pole is pivoted about a stationary, frictionless axle. The pole with a person hanging on the end swings up through an angle theta max , and then the person lets go of the pole and drops into a pool of water. Treat the person as a point mass. The pole’s moment of inertia is given by I = (1/3)ML , where L = 6.00 m is the length of the pole and M = 24.0 kg is its mass. In your design, a person of mass m = 70.0 kg is to have a maximum angle of swing of theta max = 72.0˚ after their collision with the pole.

(a) In the "collision" between the slider and the pole, why is angular momentum about the pole's pivot conserved, but linear momentum and kinetic energy are not conserved? Assume that the slider is moving horizontally when they grab the handle on the vertically hanging pole.

(b) What is the angular speed of rotation of the pole & swinger just after the swinger grabs on, in terms of the final height the swinger reaches?

(c) What is the speed of the swinger at the bottom of the slide just before reaching the pole, in terms of their speed just after grabbing the pole?

(d) For a person of mass m = 70.0 kg, what must be the starting height h in order for the pole with person to have a maximum angle of swing of theta max =  72.0˚ after the collision?

Suppose a group of volunteers is planning on building a park near a local lake. The lake is known to contain low levels of arsenic (As). Therefore, prior to starting construction, the group decides to measure the current level of arsenic in the lake.

a) If a 15.7 cm3 sample of lake water is found to have 164.5 ng As, what is the concentration of arsenic in the sample in parts per billion (ppb), assuming that the density of the lake water is 1.00 g/cm3?

One of the volunteers suggests hiring an on-site water treatment company to remove the arsenic from the lake. The company claims their process takes 2.74 days to remove 41.90 kg of As from a water source.

b) Calculate the total mass (in kg) of arsenic in the lake that the company will have to remove if the total volume of water in the lake is 0.710 km3?

c) Based on the company\'s claim and the concentration of arsenic in the lake, how many years will it take to remove all of the arsenic from the lake, assuming that there are always 365 days in a year?