Finite Math question I’ve already done the 1st part. The second part in bold is what I have trouble with

The state has created new legislation about “crunch-time”, and as such requires us to adjust our

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projects for the next quarter. So for the next 13 weeks we will assume that there will be no

scheduled overtime. Our adjusted budget for the quarter gives us 520 hours to schedule per

employee (13 weeks x 40 hours per week = 520 total hours).

We have to determine how many projects we can complete during this time period, making

adjustments based on the man-hours worked on previous projects. Please figure out the

number of game we can make of each type that yields the highest profit.

Additional Information and the projected profit and estimated man-hours based on previous

projects are presented in the following pages pages.

Quarterly Projection

Update

Written Optimization Report:

Problem 1

To create a single console game, we previously required 10,920 man-hours of development,

13,000 man-hours on art, 3,120 man-hours for design, and 2,080 man-hours for production

management. The projected profit for console game titles is $3.6 million each.

The work requirements for a mobile game are quite a bit different: 7,280 man-hours in

development, 2,600 man-hours art, 9,360man-hours in design, and 2,600 man-hours in

production management. The projected profit for handheld game titles is $2 million each.

Our current staff consists of 238 programmers, 225 artists, 180 designers, and 57 production

managers.

This should give us:

§ 123,760 man-hours in the development pool (238 x 520 = 123,760)

§ 117,000 man-hours in the art pool (225 x 520 = 117,000),

§ 93,600 man-hours in the design pool (180 x 520 = 93,600), and

§ 29,640 man-hours in management (57 x 520 = 29,640)

to allocate to projects,

Department

Console

Game

Mobile

Game

Development

10,920

man-°©‐hours

7,280

man-°©‐hours

Art

13,000

man-°©‐hours

2,600

man-°©‐hours

Management

2,080

man-°©‐hours

2,600

man-°©‐hours

Design

3,120

man-°©‐hours

9,360

man-°©‐hours

Profit

Projection

$3,600,000

$2,000,000

Figure out how many console and mobile games can be made this quarter to maximize

our profit. In addition, report what pools (development, artists, designers, and

managers) have some unutilized employees, and which pools could be expanded to

increase profits.

Note: If you want to analyze this problem in terms of number of people on each project, you will

need to convert from man-hours to number of people. Divide the number of man-hours by 520

hours to determine the number of people needed to complete the work in 13 weeks.

Written Optimization Report:

Problem 2

We have decided to expand and create a new PC games department. Out projections indicate

PC game titles will make $2.8 million in profit each. The work requirements are 9,360 manhours

for development, 8,840 man-hours on artwork, 5,720 man-hours for design, and 1,560

man-hours for production management.

Department

Console

Game

Mobile

Game

PC

Game

Development

10,920

man-°©‐hours

7,280

man-°©‐hours

9,360

man-°©‐hours

Art

13,000

man-°©‐hours

2,600

man-°©‐hours

8,840

man-°©‐hours

Management

2,080

man-°©‐hours

2,600

man-°©‐hours

1,560

man-°©‐hours

Design

3,120

man-°©‐hours

9,360

man-°©‐hours

5,720

man-°©‐hours

Profit

Projection

$3,600,000

$2,000,000

$2,800,000

To help staff this department, we hired 44 more programmers for the development team, 58

more artists for the art team, and 2 more managers for the management team. Please adjust

the total man-hours available based on this new staff before calculating the new estimations.

Figure out how many console, PC, and mobile games can be made this quarter to

maximize our profit. In addition, report what pools (development, artists, designers, and

managers) have some unutilized employees, and which pools could be expanded to

increase profits.

 

r you have analyzed the scenario, solve the optimization problems set up earlier in the week and determine the optimal solution. You will solve the problems using graphical and computational methods (Excel). Directions on required resources are available at the bottom.

  • Then draft a response to the questions posed in each problem, describing the results of your analysis. NOTE: Write your response in a professional manner, as if submitting your analysis to a supervisor. Submit your completed analysis in this assignment.
  • Include a graph along with your solution for problem 1.
  • Include the results from Excel spreadsheet with the values clearly labeled for problem 2.

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