The annual salaries (in thousands of dollars) for the employees of a small technology firm are as follows:

Construct a frequency table. Use 7 classes, start with a lower class limit of 59, and use a whole number for the class width.

The data below shows height (in inches) and pulse rates (in beats per minute) of a random sample of women. Find the value of the linear correlation coefficient r, using a significance level of 0.05 Is there sufficient evidence to conclude that there is a linear correlation between height and pulse rate?

Height | Pulse Rate

61.7    80

64.3    74

60.1    89

60.3 61

59.3 75

61.5 66

59.6    83

61.1    61

67.5    68

59.7 68

67.1 81

63.3 76

61.8 70

58.9    74

59.2 71

59.5    72

66.6    83

60.8 79

69.6 76

58.2 76

5. It is of interest to Starbucks on campus, the average spending of students in one week, this with the aim of creating a promotion for their students. It is said that they spend 163 pesos on average and it is known from experience that the standard deviation in spending is 52 pesos. a. What is the probability of a student on campus spending at least 180 pesos?

6. The following are the partial ratings of the group: 79, 87, 90, 74, 83, 72, 80, 56, 84, 83, 92, 70, 65, 69, 87, 88, 74, 72, 82, 91, 63. a. Draw up a basic frequency distribution table (1 pts.) b with the grades. Make a histogram

Roy constructs an options portfolio based on the MXC stock. He writes a call option with exercise price $74 and writes a put option with exercise price $70. Both options have the same expiration date.

MXC Call Option price $0.42

Exercise price $74

MXC Put $0.58 $70

1. Draw the payoff diagram of this portfolio at option expiration as a function of MXC stock price at that time.

2. What will be the profit/loss on this position if MXC is selling at $72 on the option expiration date? What if MXC is selling at $77?

3. At what two stock prices will Roy break even on his position?

Roy constructs an options portfolio based on the MXC stock. He writes a call option with exercise price $74 and writes a put option with exercise price $70. Both options have the same expiration date.

   MXC Call MXC Put

Option price $0.42    $0.58

Exercise price $74     $70

a. Draw the payoff diagram of this portfolio at option expiration as a function of MXC stock price at that time.

b. What will be the profit/loss on this position if MXC is selling at $72 on the option expiration date? What if MXC is selling at $77?

c. At what two stock prices will Roy break even on his position?

Roy constructs an options portfolio based on the MXC stock. He writes a call option with exercise price $74 and writes a put option with exercise price $70. Both options have the same expiration date. MXC Call MXC Put Option price $0.42 $0.58 Exercise price $74 $70

a. Draw the payoff diagram of this portfolio at option expiration as a function of MXC stock price at that time.

b. What will be the profit/loss on this position if MXC is selling at $72 on the option expiration date? What if MXC is selling at $77?

c. At what two stock prices will Roy break even on his position?

Roy constructs an options portfolio based on the MXC stock. He writes a call option with exercise price $74 and writes a put option with exercise price $70. Both options have the same expiration date

a. Draw the payoff diagram of this portfolio at option expiration as a function of MXC stock price at that time. b. What will be the profit/loss on this position if MXC is selling at $72 on the option expiration date? What if MXC is selling at $77? c. At what two stock prices will Roy break even on his position?

Dear Math Students:

I recently bought a restaurant in Chicago.  It is pretty small, but well-located.  We are open every day, but Mondays, from 4 PM until 11 PM.  Our menu is basically Italian.  We offer individual pizzas, pastas, salads, and a special of the day. We also have really good desserts. We offer cookies, ice cream and superb cakes.  Last month we had 800 customers.  Our salads are considered a whole meal, so people don’t usually order another entrée with them.  Last month, we sold 400 pizzas, 200 pasta dishes, 130 salads, and 70 specials of the day. Not everyone orders a dessert, but last month we sold 200 cookies, 100 ice creams, and 250 cakes.  Next week we are expecting 250 to 300 customers.  I need to know how many of each of the entrees and how many of each of the desserts I can expect to sell.

I would also like to know how much money I can expect to make.  Perhaps you could also let me know how much the average customer spends. Let me tell you the prices.  The pizzas are $7.95.  The pastas are sold for $8.95.  The salads are $6.95.  The special of the day is $9.95.  As for the desserts, the cookies are $1.00, the ice cream is $1.50, and the cakes are $3.00

Thanks a lot for your help, I am not very good at math, but perhaps you could try to explain your answers in such a way that I could estimate them for myself next time.

Yours sincerely,

Chris Smith

Pizza Plus

`~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Put the results of your calculations here and the explanation of your calculations o the back of this sheet.

Estimates for 250 customers

Average customer spends: $________________

Estimates for 300 customers

Average customer spends: $________________

Explanation of Calculations:

The comparative balance sheets for 2018 and 2017 and the statement of income for 2018 are given below for Dux Company. Additional information from Dux's accounting records is provided also.

Additional information from the accounting records:

a. A building that originally cost $40,000, and which was three-fourths depreciated, was sold for $7,000.

b. Land was acquired by issuing a 13%, seven-year, $30,000 note payable to the seller.

c. Cash dividends of $13,000 were paid to shareholders.

Required:
Prepare the statement of cash flows for Dux Company using the indirect method. (Do not round intermediate calculations. Amounts to be deducted should be indicated with a minus sign. Enter your answers in thousands. (i.e., 10,000 should be entered as 10).)

The Westview Mall rents space to clothing stores and charges shoppers an entry fee to get into the mall. All clothing stores are identical and all shoppers are identical. Answer the following questions, using a graph that shows the supply and demand for clothing:

1. If the mall rents space to several competitive clothing stores, how much can it collect in rent? How much can it collect in entry fees? How much can it collect altogether?

2. If the mall rents space to a single monopoly clothing store, how much can it collect in rent? How much can it collect in entry fees? How much can it collect altogether?

3. Would you advise the Mall owner to rent to several competitive stores or to one monopoly? Why?

4. Copy centers usually give substantial discounts to customers with large orders. Do you think they are price discriminating? Why or why not?

5. True or False: Because a monopolist is able to charge a higher price than a perfectly competitive firm, his marginal revenue is higher than what a perfectly competitive firm’s would be.

6. The RH Snippet company has one president and 1000 assembly line workers. Which of the following events would have a bigger impact on the price of Snippets and why? a) The president gets a raise of $1,000,000 a year. b) A new union contract raises each worker’s wages by $1,000 a year, but allows the firm to fire as many workers as it wants to.

*****How do you answer 1-3 using a graph, please show me the correct answer with graph*****