PROBLEM 5 Your company makes two models of computers: Super o Edition. These sel

Question

PROBLEM 5 Your company makes two models of computers: Super o Edition. These sell for $2400 and $3000 each respectively. the requires 2 hours for circuit board assembly and 6 hours for and Limited Super model peripheral fitting time. The Limited Edition model requires 4 hous or o and 2 hours for peripheral fitting time. You have 150 hours available circuit board work and 60 hours for peripheral fifting time expression for the total revenue function in terms of sold. 1. Write down the the number of each type of computer Write down the constraints for this problem. 2. 3. State the steps you will use to solve the problem

Explanation / Answer

Solution:

Let number of super computer limited unit = x unit

Let number of limited computer unit = y unit

1. total revnue function p = 2400x + 3000y

2 . constraint:

super and limied model requires 2 and 4 hours of circuit assembly

2x +6y =< 150

super and limied model requires 2 and 4 hours of peripheral fitting time

6x +2y =< 60

3. Using simplex method

Maximize p = 2400x + 3000y subject to
2x + 4y <= 150
6x + 2y <= 60

Tableau #1
x y s1 s2 p   
2 4 1 0 0 150
6 2 0 1 0 60   
-2400 -3000 0 0 1 0

Tableau #2
x y s1 s2 p   
-10 0 1 -2 0 30   
3 1 0 1/2 0 30   
6600 0 0 1500 1 90000

therefore optimal solution where profit p is maximum

: p = 90000;

at x = 0, y = 30

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