A furniture manufacturer produces two types of tables $($country and contemporary$)$ using three types of machines. The time required to

produce the tables on each machine is given in the following table.

Total Machine Time

Machine Country Contemporary Available per Week

Router

$1\mathrm{.}5$

$2\mathrm{.}0$

$1,000$

Sander

$3\mathrm{.}0$

$4\mathrm{.}5$

$2,000$

Polisher

$2\mathrm{.}5$

$1\mathrm{.}5$

$1,500$

Country tables sell for $$350$ and contemporary tables sell for $$450.$ Management has determined that at least $20\%$ of the tables made should

be country and at least $30\%$ should be contemporary.