A small brewery produces Ale and Beer. Suppose that production is limited by scarce resources of corn, hops and barley malt. To make Ale $5$kg of Corn, $4$kg of hops and $35$kg of malt are required. To make Beer $15$kg of corn, $4$ kg of hops and $20$kg of malt are required. Suppose that only $480$ kg of corn, $160$kg of hops and $1190$ kg of malt are available. If the brewery makes a profit of $$13$ for each kg of Ale and $$23$ for each kg of Beer, how much Ale and Beer should the brewer produce in order to maximize profit?