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.

If only $18$ units of resource $2$ were available profit would drop by $$6\mathrm{.}6$

The current solution is still optimal even when the objective function cowfficient assiciated with product a is decreased to $3\mathrm{.}8$

We woukd be willing to pay up to $$1\mathrm{.}11$ per unit for ip to $24$ more units of resource $1$

Currnetly slack cariable in the third constraint is $0$