Linear Programm...

The corner points of the feasible region determined by the system of linear constraints are (0, 0), (o, 40), (20, 40), (60, 20), (60, 0). The objective function is $$Z = 4x + 3y$$.
Compare the quantity in Column A and Column B

The value of objective function is maximum under linear constraints

Of all the points of the feasible region, the optimal value of z obtained at the point lies

Object function of LPP is

The corner points of the feasible solution given by the inequation $$x + y \leq 4, 2x + y \leq 7, x \geq 0, y \geq 0$$ are

Solution of LPP to minimize z = 2x + 3y, such that $$x \geq 0, y \geq 0, 1 \leq x + 2y  \leq 10 $$ is

Find the output of the program given below if$$ x = 48$$
and $$y = 60$$
10  $$ READ x, y$$
20  $$Let x = x/3$$
30  $$ Let y = x + y + 8$$
40  $$ z = \dfrac y4$$
50  $$PRINT z$$
60  $$End$$

10 students of class X took part in a Mathematics quiz If the number of girls is 4 more than the number of boys find the number of boys and girls who took part in the quiz Which graph represents the solution of the problem?

A retired person wants to invest an amount of Rs. $$50, 000.$$ His broker recommends investing in two type of bonds A and B yielding $$10 \%$$ and $$9 \%$$ return respectively on the invested amount. He decides to invest at least $$Rs. 20,000$$ in bond A and at least $$Rs. \ 10,000$$ in bond B. He also wants to invest at least as much in bond A as in bond B. Solve this linear programming problem graphically to maximize his returns.

A manufacturer produces nuts and bolts. It takes $$1$$ hour of work on machine A and $$3$$ hours on machine B to produce a package of nuts. It takes $$3$$ hours on machine A and $$1$$ hour on machine B to produce a package of bolts. He earns a profit of $$Rs. 17.50$$ per package on nuts and $$Rs 7$$ per package of bolts. How many packages of each should be produced each day so as to maximize his profits if he operate his machines for at the most $$12$$ hours a day?