Rufus Theater has 4 cinema screens:  I, II, III, IV.  The at…

Rufus Theater has 4 cinema screens:  I, II, III, IV.  The attendance for a Friday afternoon matinee are given in the following matrix A.   \(\begin{gathered} \ \quad\qquad  \ \text { Attendance }  \\\qquad  \ \qquad \quad \ \text {I}\ \quad  \text {II}\ \quad  \text {III}\ \quad  \text {IV}\   \\A=\begin{array}{cccc}\text { Child} \\\text {Student} \\\text {Adult} \\\end{array}\left\end{gathered}\) If ticket prices are $6 for children, $8 for students, and $10 for adults, in the given box answer the following questions. Write a row vector B that represents admission prices. Multiply the two matrices to determine the gross receipts for each theater. Determine the total revenue for the Rufus Center that Friday afternoon.  

Rufus decides to buy a shop that sells pool tables in Richmo…

Rufus decides to buy a shop that sells pool tables in Richmond and there are two choices:  RedWolf and East Pool.  The weekly sales volumes with the respective probabilities for each shop are as follows: RedWolf Shop: Sales 5 6 7 8 9 10 11 12 Probability 0.05 0.09 0.14 0.24 0.18 0.14 0.11 0.05 East Pool Shop: Sales 5 6 7 8 9 10 Probability 0.08 0.21 0.31 0.24 0.10 0.06   The average profit per pool table at RedWolf Shop is $542, and the average profit per pool table at Eat Pool Shop is $657. The average number of pool tables sold each week at RedWolf is .  Your number value should have two decimal places, for example: 1.23. The expected weekly profit for RedWolf is $. The average number of pool tables sold each week at East Pool Shop in .  Your number value should have two decimal places, for example:  1.23. The expected weekly profit for East Pool is $. Which pool table shop should Rufus purchase?  .

The homework problem you are given has the following system…

The homework problem you are given has the following system of equations, where x represents the number of Rufus stuffed animals and y represents the number of Red Wolf stuffed animals. \(x-3y=3\) \(8x-24y=24\) \(3x-9y=9\) You proceed to determine the solution to the system of equations.  Choose all of the options in the following list that are true for Rufus and Red Wolf stuffed animals.

For the given linear Programming problem, choose all options…

For the given linear Programming problem, choose all options that are correct. A nutritionist at the Rufus Med Center was asked to prepare a special diet for certain patients.  Rufus decided that the meals are to be prepared from Foods A and B and that the meals should contain a minimum of 390 mg of calcium, 5 mg of iron, and 45 mg of vitamin C.  Each ounce of Food A contains 25 mg of calcium, 3 mg of iron, 2 mg of vitamin C, and 4 mg of cholesterol.   Each ounce of Food B contains 25 mg of calcium, 0.5 mg of iron, 5 mg of vitamin C, and 5 mg of cholesterol. Let represent cholesterol, represent Food A, and represent Food B. How many ounces of each type of food should be used in a meal so that the cholesterol content C (in mg) is minimized and the minimum requirements for calcium, iron, and vitamin C are met?  

In the box provided, upload a file with your responses using…

In the box provided, upload a file with your responses using the “Upload Media” icon (mountains with sun).   Using the information in the given problem,  complete the given tree diagram. complete the given transition matrix, \(T\), and the given current probability matrix \(X_0\). state what the entry a21 represents. calculate the probability distribution for 2030. At the beginning of 2020, the population of our state was 55.4% rural and 44.6% urban.  On the basis of past trends, it is expected that 10% of the population currently residing in the rural areas will move into the urban areas, while 17% of the population currently residing in the urban areas will move into the rural areas in the next decade.   What is the population distribution in the state at the beginning of 2030?