Question

asked 2021-02-25

Consider the following system of linear inequalities.

\(\displaystyle{3}{x}+{4}{y}\le{12}\)

\(\displaystyle{4}{x}+{3}{y}\le{12}\)

\(\displaystyle{x}\ge{0}\)

\(\displaystyle{y}\ge{0}\)

graph, shade and find corner points.

\(\displaystyle{3}{x}+{4}{y}\le{12}\)

\(\displaystyle{4}{x}+{3}{y}\le{12}\)

\(\displaystyle{x}\ge{0}\)

\(\displaystyle{y}\ge{0}\)

graph, shade and find corner points.

asked 2021-03-07

Graph the feasible region for the system of inequalities

y>4x-1

y<-2x+3

y>4x-1

y<-2x+3

asked 2021-01-02

An objective function and a system of linear inequalities representing constraints are given.

a. Graph the system of inequalities representing the constraints.

b. Find the value of the objective function at each corner of the graphed region.

c. Use the values in part (b) to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.

\(\displaystyle{z}={2}{x}+{3}{y}\)

\(\displaystyle{\left\lbrace\begin{array}{c} {x}{\quad\text{and}\quad}{y}\ge{0}\\{2}{x}+{y}\le{8}\\{2}{x}+{3}{y}\le{12}\end{array}\right.}\)

a. Graph the system of inequalities representing the constraints.

b. Find the value of the objective function at each corner of the graphed region.

c. Use the values in part (b) to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.

\(\displaystyle{z}={2}{x}+{3}{y}\)

\(\displaystyle{\left\lbrace\begin{array}{c} {x}{\quad\text{and}\quad}{y}\ge{0}\\{2}{x}+{y}\le{8}\\{2}{x}+{3}{y}\le{12}\end{array}\right.}\)

asked 2021-06-21

\(\displaystyle\frac{{3}}{{4}}-{\left(\frac{{3}}{{5}}\right)}{x}={\left(\frac{{2}}{{5}}\right)}{x}+\frac{{2}}{{4}}\)