Data from a random sample of 11 gravid female iguanas, including their postpartum weights and the number of eggs each produced, were collected.

(1): Construct a two-way scatter plot for “female mass” against the “number of eggs” and on a separate graph construct a two-way scatter plot for “female mass” against log of the “number of eggs”. Looking at the two graphs you plotted, explain as to which of these two do you consider to be closest to a linear relationship?

(2): Compute r, the Pearson correlation coefficient

(3): Compute and use the regression equation you came up with in the previous part (namely “f”) to predict the “number of eggs” for and “female mass” of 2 kg.

A company has orders for approximately 100,000 units of a product that it can sell at a price of €150.00 per unit. The company operates 300 days per year. It costs €5.00 to store one unit of the product for one month.

The company manufactures other products, and it must set up the manufacturing system for a production order for the product, which costs €300. The product can be produced at a rate of 600 per working day.

Determine:

1. The Economic Order Quantity
2. The annual cost of producing the product
3. The number of production runs required each year (1 Mark)
4. The length of the cycle (time between production runs) (1 Mark)
5. The number of days each production run will last  (1 Mark)

You will implement two algorithms to find the shortest path in a graph.

def prim(G,start_node): Takes a graph G and node to start at. Prims edges used in MST.

def kruskal(G): Takes a graph G and prints the edges in the MST in order found.

You may represent the graphs as adjacency matrix or list. You MAY NOT include any graph libraries.

The graph you are working on will be give in a file with the following format. The graph is undirected. That means if an edge from 2 to 1 is in the file, it may be used in both directions.

• Line 1: The number of Nodes in the Graph
• Lines 2-EOF: Every other line in the file contains an edge
  • First Value is the first node
  • Second Value is the second node
  • Third Value is the weight of the edge

Note: You should store the weights as floats.

The program will have a text interface. First ask for the file name of the graph to work with. Then implement 4 text commands.

prim x - Runs Pim's Algorithm starting at node X. X must be an integer

kruskal - Runs Kruskal's algorithm

help - prints this list of commands

exit - Exits the program

On a bad command print out "Unknown Command"

You must implement this using only standard python3 libraries. You may not use any outside libraries. For example, open source graph libraries.

When printing an edge, always print the smaller vertex first then the larger vertex.

Example Execution Traces are provided below.

Welcome to Minimum Spanning Tree Finder

Give the file name graph is in:

input1.txt

Commands:

exit or ctrl-d - quits the program

help - prints this menu

prim integer_value - run's Prim's algorithm starting at node given

kruskal - runs Kruskal's algorithm

Enter command:

Bad Command Unknown Command

Enter command:

help

Commands:

exit or ctrl-d - quits the program

help - prints this menu

prim integer_value - run's Prim's algorithm starting at node given

kruskal - runs Kruskal's algorithm

Enter command:

prim 0

Running Prim's Algorithm Starting Node: 0

Added 2

Using Edge [0, 2, 1.0]

Added 5

Using Edge [2, 5, 4.0]

Added 3

Using Edge [3, 5, 2.0]

Added 1

Using Edge [1, 2, 7.0]

Added 4

Using Edge [1, 4, 3.0]

Enter command:

exit

Bye

The content of the files is shown below.

input1.txt

6
0 3 5
3 5 2
5 4 10
4 1 3
1 0 8
0 2 1
2 3 6
2 5 4
2 4 9
2 1 7

input2.txt

9
0 1 4
0 7 10
1 7 13
7 8 9
7 6 1
1 2 8
8 2 3
8 6 6
2 3 7
2 5 5
6 5 2
3 5 14
3 4 11
5 4 12

input3.txt

8
4 5 35
4 7 37
5 7 28
0 7 16
1 5 32
0 4 38
2 3 17
1 7 19
0 2 26
1 2 36
1 3 29
2 7 34
6 2 40
3 6 52
6 0 58
6 4 93

Problem 17-5A Pricing analysis with ABC and a plantwide overhead rate LO A1, A2, P1, P3

[The following information applies to the questions displayed below.]

Sara’s Salsa Company produces its condiments in two types: Extra Fine for restaurant customers and Family Style for home use. Salsa is prepared in department 1 and packaged in department 2. The activities, overhead costs, and drivers associated with these two manufacturing processes and the company’s production support activities follow.

Additional production information about its two product lines follows.

Problem 17-5A Part 5

5. If the market price is $18 per case of Extra Fine and $9 per case of Family Style, determine the gross profit per case for each product. (Round your intermediate calculations and final answers to 2 decimal places.)

Problem 17-5A Pricing analysis with ABC and a plantwide overhead rate LO A1, A2, P1, P3

[The following information applies to the questions displayed below.]

Sara’s Salsa Company produces its condiments in two types: Extra Fine for restaurant customers and Family Style for home use. Salsa is prepared in department 1 and packaged in department 2. The activities, overhead costs, and drivers associated with these two manufacturing processes and the company’s production support activities follow.

Additional production information about its two product lines follows.

Problem 17-5A Part 5

5. If the market price is $18 per case of Extra Fine and $9 per case of Family Style, determine the gross profit per case for each product. (Round your intermediate calculations and final answers to 2 decimal places.)

Wilson Publishing Company produces books for the retail market. Demand for a current book is expected to occur at a constant annual rate of 6,800 copies. The cost of one copy of the book is $14. The holding cost is based on an 14% annual rate, and production setup costs are $130 per setup. The equipment on which the book is produced has an annual production volume of 23,000 copies. Wilson has 250 working days per year, and the lead time for a production run is 15 days. Use the production lot size model to compute the following values:

1. Minimum cost production lot size. Round your answer to the nearest whole number. Do not round intermediate values.
   
   Q^* = fill in the blank 1
   
2. Number of production runs per year. Round your answer to two decimal places. Do not round intermediate values.
   
   Number of production runs per year = fill in the blank 2
   
3. Cycle time. Round your answer to two decimal places. Do not round intermediate values.
   
   T = fill in the blank 3 days
   
4. Length of a production run. Round your answer to two decimal places. Do not round intermediate values.
   
   Production run length = fill in the blank 4 days
   
5. Maximum inventory. Round your answer to the nearest whole number. Do not round intermediate values.
   
   Maximum inventory = fill in the blank 5
   
6. Total annual cost. Round your answer to the nearest dollar. Do not round intermediate values.
   
   Total annual cost = $  fill in the blank 6
   
7. Reorder point. Round your answer to the nearest whole number. Do not round intermediate values.

Prompt the user to enter an integer

Then, prompt the user to enter a positive integer n2.

Print out all the numbers that are entered after the last occurrence of n1 and whether each one is even or odd

If n1 does not occur or there are no values after the last occurrence of n1, print out the message as indicated in the sample runs below.

Sample:

Enter n1: -2

Enter n2: 7

Enter 7 values: -2 3 3 -2 4 3 6

4 is even

3 is odd

6 is even

Enter n1: 100

Enter n2: 6

Enter 6 values: 101 2 -7 100 9100

No values after 100

Enter n1: 5

Enter n2: 3

Enter 3 values: 4 5 104

9 does not occur

Two children, A (mass 25 kg ) and B (mass 50 kg ), are playing on a merry-go-round (which you can assume is a solid disk with mass 225 kg  and radius 1.5m). Assume that any friction on the axle of the merry-go-round is negligible.

(A) A starts spinning the merry-go-round, giving it an angular velocity of 7 rad/s, then she stops pushing it. B runs with a speed of 6 m/s directly toward the center of the merry-go-round. He jumps and lands on the edge of the merry-go-round. What is the angular speed of the merry-go-round once B lands on it?

(B) After landing, B walks to the center of the merry-go-round. What is the angular speed of the merry-go-round when he gets to the center?

(C) While B is in the center of the merry-go-round, A runs up with a speed of 7 m/s  tangentially in the same direction the merry-go-round is spinning, jumping onto the edge of the merry-go-round. What is the angular speed of the merry-go-round after A lands on it?

(D) A stays in place while B walks back to the edge of the merry-go-round. What is the angular speed of the merry-go-round when he gets there?

Python Practice Sample:

Generate lists containing the numbers between 1 and 50 as follows:

 same is a list of all the two-digit numbers whose digits are the same (11, 22, etc.)

 addsto6 is a list of all numbers the sum of whose digits is 6

 rest contains the rest of the numbers.

A number can appear only in one of the lists; with same having higher priority. (So for example, 33 would appear in the same, but NOT the addsto6 list).

Same = [11, 22, 33, 44]

AddsTo6 = [6, 15, 24, 42]

Rest = [1, 2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 16, 17, 18, 19, 20, 21, 23, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 43, 45, 46, 47, 48, 49, 50]

Delicioso Ltd manufactures two types of Microwave Ovens – Conventional and Integrated. The company is currently using a traditional costing system with machine hours as the cost driver. The company is considering whether to use the activity-based costing (ABC) method to allocate overhead costs to products. Budgeted overhead costs of the upcoming accounting period follow:

The activity level for the year is: Conventional Integrated

Annual production in units 50,000 100,000

Direct material cost $150,000 $300,000

Direct labour costs $50,000 $100,000
Direct labour hours 2,500 5,000

Machine hours 25,000 50,000

Number of production runs 50 50

Inspection hours 1,000 500

1. Calculate the unit cost of each product if the conventional costing approach is used

2. determine the unit of producing each product if activity based costing is used .