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2 D 10673

12. Write the matrix form of the linear programming problem :

13.

14.

15.

16.

17.

18.

Minimize W = 8y, + 16y.

೨1 + 542 >9
201 + 242 > 10
21 > 042 2 0.

subject to

(8 x 3 = 24 marks)
Section B
Answer at least five questions.
Each question carries 5 marks.

All questions can be attended.
Overall Ceiling 25.

In recent years, the percentage of the U.S. population age 18 and older who smoke has decreased
at aroughly constant rate, from 24.1% in 1998 to 20.6% in 2008. Find the equation describing this
linear relationship.

Solve the system of equations :

३ + 10 = 115
11 + 4) = 95

using echelon method.

Aconvenience store sells 23 sodas one summer afternoon in 12-, 16-, and 20-oz cups (small, medium,
and large). The total volume of soda sold was 376 oz. Suppose that the prices for a small, medium,
and large soda are $1, $1.25, and $1.40, respectively, and that the total sales were $28.45.
How many of each size did the store sell ?

Solve the following system of equations using the inverse of the coefficient matrix :

۸+ ‏بر3‎ - 22 = 4
ॐ + 7 + 32 = 8
3 + 8 + 5 = - 4.

Graph the feasible region for the following system of inequalities and tell if it is bounded or
unbounded :
3-2 <6
x+y+ <-6
Find the maximum value of the objective function z = 3x + 4y, subject to the constraints :

—x+2y<4,x2>0,y20.

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