4. Say that you have an income of $100, all of which you spend on 2 goods: x1 and x2. The price of x1 is $1, and the price of x2 is $2.

(a) The government imposes a quantity tax of on the consumption of x1. Write down an equation for your budget constraint.

(b) The government initially sets the quantity tax at = 0:5. What is the slope of the budget constraint in this case?

(c) Now say that the government increases the tax to = 0:75. How does this increase in the quantity tax change the slope of the budget line?

• Innovation and physical capital are 2 of the 4 factors of production. Discuss some specific ways that 1 of the following laws increased the productivity of 1 or both of these factors of production:
• 1862 Pacific Railway Act
• 1956 Federal Aid Highway Act
• 1946 Federal Airport Act
• What other examples of economic concentration can you share?
• What are the risks and advantages to economic concentration?
• How has economic concentration influenced your industry?

Understand the 4 types of cellular injury that can occur and why. Know the 2 different types of inflammation, local and peripheral, and examples of each. Understand the different effusions that can happen with cancer and how you would know where in the body the cancer is from based on the effusion. What are the tests that Professor Heine talked about during the cancer lecture that the nurse can use to help diagnose and what are each testing for specifically? Understand the hormones that regulate hunger. There are different types of stress, which one is good for you? What can you do as a nurse to help ease someone who is feeling anxiety and stress? Understand the different types of immunity and how the complement system effects them. Who are at the most risk for alterations in immunity?

A six sided die is rolled 4 times. The number of 2's rolled is counted as a success.

1. Construct a probability distribution for the random variable.

2. Would this be considered a binomial random variable?
3.    What is the probability that you will roll a die 4 times and get a 2 only once?

d) Is it unusual to get no 2s when rolling a die 4 times? Why or why not? Use probabilities to explain.

Consider the following data on x and y shown in the table below,

Fit the model E(y)=β0+β1x to the data, and plot the residuals versus x for the model on Minitab. Do you detect any trends? If so, what does the pattern suggest about the model?

A six sided die is rolled 4 times. The number of 2's rolled is counted as a success.

1. Construct a probability distribution for the random variable.

2. Would this be considered a binomial random variable?
3.    What is the probability that you will roll a die 4 times and get a 2 only once?

      d Is it unusual to get no 2s when rolling a die 4 times? Why or why not? Use probabilities to explain.

Consider the problem   maximize   Z = 5 x1 + 3 x2 + 2 x3 + 4 x4       

subject to                      

5 x1 + x2 + x3 + 8 x4 = 10                      

2 x1 + 4 x2 + 3 x3 + 2 x4 = 10                                    

X j > 0, j=1,2,3,4

(a) Make the necessary row reductions to have the tableau ready for iteration 0. On this tableau identify the corresponding initial (artificial) basic feasible solution. Also, identify the initial entering and leaving variables.

(b) Following the result obtained in (a) solve by the Simplex method, using the Big-M method.

(c) Solve by the Two-Phase method.

Tom works in a shop. On average, he sees that 3 purchasers come to the shop every hour. Calculate the following:

a) What is the probability that at least 2 and as many as 4 purchasers come to the shop in a given hour?

b) The mean rate of purchaser decreases to 5 purchasers every 2 hours. During one hour, what is the most likely number of purchasers that will come to the shop (hint: the answer must be an integer)?

how does 2 = 26 *5 -32 * 4 becomes 26 * 5 + 32 * (-6) = 2

My retirement monies are invested at tiaacref.org - pick at least 2 funds, at most 4 funds at tiaacref where my monies should be invested and tell me why. Your reason should be convincing! If the market dips can I ride it out? What's the longest time between a market dip (Dow or S&P 500) and it returning back to the before dip value? When did this occur?