Finite Math Written Optimization Analysis (part 2)

Profit function becomes P = 3.6 x + 2.0 y

As given in chart the manpower hours required at various levels is

Console Game Mobile Game

Development 10920 7280

Art 13000 2600

Management 2080 2600

Design 3120 9360

Also we are given the max man-hours based on our current staff

Development 123,760

Art 117,000

Design 93,600

Management 29,640

Using the above table and the max man-hours available we can write the constraints for manufacture of both the games

10920x + 7280y ≤ 123760

13000x + 2600y ≤ 117000

2080x + 2600y ≤ 93600

3120x + 9360y ≤ 29640

 x >= 0, y >= 0

Question 2

Q.2

Suppose Console game is represented by variable X1

the mobile game is represented by variable X2

and the PC game is represented by variable X3

We need to maximize Profit by selling these games so our

Profit function becomes P = 3.6 c + 2.0 m + 2.8p

As given in chart the manpower hours required at various levels is

Console Game Mobile Game PC Game

Development 10920 7280 9360

Art 13000 2600 8840

Management 2080 2600 1560

Design 3120 9360 5720

Also we are given the max man-hours based on our current staff

Development 123,760 + 44 X 520 = 123,760 + 22,880 = 146,640

Art 117,000 + 58 X 520 = 117,000 + 30,160 = 147,160

Design 93,600

Management 29,640 + 2 X 520 = 29,640 + 1,040 = 30,680

Using the above table and the max man-hours available we can write the constraints for manufacture of both the games

10920x1 + 7280x2 + 9360x3 ≤ 146640

13000x1 + 2600x2 + 8840x3 ≤ 147160

2080x1 + 2600x2 + 1560x3 ≤ 30680

3120x1 + 9360x2 +5720x3 ≤ 93600

X1, X2, X3 ≥ 0