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A company produces three products, each of which must be processed three different departments. The department A has the weekly capacities of three products are 18.5, 20.5, 24.5 and B department has 27, 29, 35 and C department has 26, 39.52, 29. The total available hours of Department of A has 500, B has 366 and C has 288 for coming month. The management is interested to utilize all available hours. Not only management will use all available hours, but also management wants to increase seventy three percent available hours in total hours due to shortage of time.
Required:
Formulate the system of equations.
Solve the combinations of the three products that would consume the weekly labor availability.
Prove the results and also
Give analysis of the results.
Using High-Low to Calculate Fixed Cost, Calculate the Variable Rate, and Construct a Cost Function

Pizza Vesuvio makes specialty pizzas. Data for the past 8 months were collected:

Month Labor Cost($) Employee Hours
January 9,490 460
February 7,000 530
March 7,531 560
April 8,140 420
May 9,787 490
June 8,490 390
July 11,868 630
August 7,500 350
Pizza Vesuvio's controller wants to calculate the fixed and variable costs associated with labor used in the restaurant.

In your calculations, round the variable rate per employee hour to the nearest cent. If required, round your final answers to the nearest cent.

Required:

1. Using the high-low method, calculate the fixed cost of labor.
$
915
2. Using the high-low method, calculate the variable rate.
$
17.39
per employee hour

3. Using the high-low method, construct the cost formula for total labor cost.

Total labor cost = $
915
+ ($
17.39
× Employee hours)
1.if you share a six bar chocolate among the following number of people,how much will each receive?illustrate your answer.
1.1.6 people.
1.2.5 people
1.3. 3 people.
2.show how 6 children can share 10 pizzas among themselves.your illustration should lead you to the following answer 1(4/6).
3. Define a fraction.
4. Draw 4 different diagrams,which can be used to show wholes that are divided into three parts, but which do not all represent thirds.
Which of the following pairs of statements are logically equivalent?

I. Statement 1: It is not true that either I watched 'Avengers' or you watched 'Justice League'.

Statement 2: I did not watch 'Avengers' and you watched 'Justice League'.

II. Statement 1: George tells you that he is an engineer and he studied in MIT.

Statement 2: If George is lying, then George is not an engineer or he did not study in MIT.

A. I only

B I and II

C. II only

D. Neither I nor II
Solution for x and y:
Y =× + 4 and
2
Y = 2×√2
+ 6× − 8
Classify the problem as either routine and non-routine based on the procedure and skills required to solve the
problems. Write brief notes to explain your classification of problems
two forces of magnitudes 6.0N and 4.0N act on 3.2 kg body. What is the acceleration produced produced when these forces are oppositely directed
The blind men and the elephant is a famous indian fable that tells the story of six blind sojourners that come across different parts of an elephant in their life
journeys. In turns each blind creates own version of reality from that limited experience and perspective. How you relate this story in the study of mathematics?

Follow the directions below to complete each section. Show your work in your notebook and place answers in this document to submit.




  1. Graph parallelogram WXYZ with coordinates W(-9,9) X(-6,9) Y(-4,4) Z(-11,4).Translate by moving right 5 and up 2.
  2. What are the coordinates of the transformed image?


  1. Line segment WX and line segment YZ are parallel.  In the transformed image, is line segment W’Z’ parallel to line segment Y’Z’?  Explain your answer.




  1. What is the original image called before being transformed?



  1. What notation do we use to label the new image?