Let’s take x an y to be the number of models of bike produced by the manufacturer. From the question we have, Model x takes \[6\] man-hours to make per unit Model y takes \[10\] man-hours to make...

Given: Z = x + y subject to constraints, \[x~+\text{ }\mathbf{4}y~\text{£}\text{ }\mathbf{8},\text{ }\mathbf{2}x~+\text{ }\mathbf{3}y~\text{£}\text{ }\mathbf{12},\text{...

As per the solution of exercise 15, we have Maximize Z = x + y, subject to the constraints \[2x\text{ }+\text{ }3y\le 120\] … (i) \[8x\text{ }+\text{ }5y\le 400\]… (ii) \[x\ge 0,\text{ }y\ge 0\]...

As per the solution of exercise 14, we have Maximize \[Z\text{ }=\text{ }200x\text{ }+\text{ }120y\]subject to constrains \[3x\text{ }+\text{ }y\le 600\]…. (i) \[x\text{ }+\text{ }y\le 300\]…. (ii)...

From the solution of exercise 13, we have The objective function for maximum profit \[Z\text{ }=\text{ }100x\text{ }+\text{ }170y\] Subject to constraints, \[x\text{ }+\text{ }4y\le 1800\]…. (i)...

As per the solution of exercise 12, we have The objective function for minimum cost is \[Z\text{ }=\text{ }400x\text{ }+\text{ }200y\] Subject to the constrains; \[5x\text{ }+\text{ }2y\ge 30\]….....

As per the solution of exercise \[11\], we have Maximize \[Z\text{ }=\text{ }50x\text{ }+\text{ }60y\]subject to the constraints \[20x\text{ }+\text{ }10y\le 200\text{ }2x\text{ }+\text{ }y\le 20\]…...

Let’s assume the man covers x km on his motorcycle at the speed of \[50\]km/hr and covers y km at the speed of \[50\] km/hr and covers y km at the speed of \[80\] km/hr. So, cost of petrol =...

Let’s assume x and y to be the number of sweaters of type A and type B respectively. From the question, the following constraints are: \[360x\text{ }+\text{ }120y\le 72000\Rightarrow 3x\text{...

Let’s consider that the company manufactures x boxes of type A screws and y boxes of type B screws. From the given information the below table is constructed: From the data in the above table, the...

Let us  consider x and y to be the number of large and small vans respectively. From the given information the below constrains table is constructed: Now, the objective function for minimum cost is...

Let x units of type A and y units of type B electric circuits be produced by the manufacturer. From the given information the below table is constructed: Now, the total profit function in rupees...

From the given figure, it’s seen that the corner points are as follows: \[R\left( 7/2,\text{ }3/4 \right),\text{ }Q\left( 3/2,\text{ }15/4 \right),\text{ }P\left( 3/13,\text{ }24/13 \right)\text{...

According to the question: \[\mathbf{Z}\text{ }=\text{ }\mathbf{4}x~+~y\] In the given figure, ABC is the feasible region which is open unbounded. Here, we have \[x\text{ }+\text{ }y\text{ }=\text{...

In the evaluating table for the value of Z, it’s clearly seen that the maximum value of Z is \[47\] at \[(3,2)\]

In the given figure, it’s seen that the feasible region is ABCA. The corner points are \[C\left( 0,\text{ }3 \right),\text{ }B\left( 0,\text{ }5 \right)\]’and for A, we have to solve equations...

According to the question: \[\mathbf{Z}\text{ }=\text{ }\mathbf{5}x~+\text{ }\mathbf{7}y\] and feasible region OABC. The corner points of the feasible region are \[O\left( 0,\text{ }0 \right),\text{...

As shown in the figure, OAED is the feasible region. At A, \[y\text{ }=\text{ }0\]in equation \[2x\text{ }+\text{ }y\text{ }=\text{ }104\]we get, \[x=52\] This is a corner point \[A\text{ }=\text{...

According to the question: \[\mathbf{Z}\text{ }=\text{ }\mathbf{13}x~\text{ }\mathbf{15}y~\]and the constraints \[x~+~y~\text{£}\text{ }\mathbf{7},\text{ }\mathbf{2}x~\text{ }\mathbf{3}y~+\text{...

According to the question: \[\mathbf{Z}\text{ }=\text{ }\mathbf{11}x~+\text{ }\mathbf{7}y\]and the constraints \[x~\text{£}\text{ }\mathbf{3},~y~\text{£}\text{ }\mathbf{2},~x~{}^\text{3}\text{...

According to the question: \[\mathbf{Z}\text{ }=\text{ }\mathbf{3}x~+\text{ }\mathbf{4}y\] and the constraints \[x~+~y~\text{£}\text{ }\mathbf{1},~x~{}^\text{3}\text{...

According to the question: \[\mathbf{Z}\text{ }=\text{ }\mathbf{11}x~+\text{ }\mathbf{7}y~\]and the constraints \[\mathbf{2}x~+~y~\text{£}\text{ }\mathbf{6},~x~\text{£}\text{...