In its next production run, Pick$-$Com has $80,000$ square inches of PC board, $100,000$ resistors, $30,000$ memory chips, and $300,000$ minutes of assumbly time available. The company can sell all the product it can manufacture, but the marketing department wants to be sure the company produces at least $500$ units of each product, and at least twice as many FastLink cards as HyperLink cards while maximizing profit.