Excel's Solver tool has been used in the spreadsheet below to solve a linear programming problem with a maximization objective function and all $<=$ constraints.

Input Section

Objective Function Coefficients

X

Y

$4$

$6$

Constraints

Avail.

#$1$

$3$

$5$

$60$

#$2$

$3$

$2$

$48$

#$3$

$1$

$1$

$20$

Output Section

Variables

$13\mathrm{.}333333$

$4$

Profit

$53\mathrm{.}333333$

$24$

$77\mathrm{.}333333$

Constraint

Usage

Slack

#$1$

$60$

$1\mathrm{.}789$E$-11$

#$2$

$48$

$-2\mathrm{.}69$E$-11$

#$3$

$17\mathrm{.}333333$

$2\mathrm{.}6666667$