$(30$ Points$)$ #$3.$ The Tall Tree lumber company owns $95,000$ acres of forestland in the Pacific northwest least $50,000$ of which must be aerially sprayed for insects this year. Up to $40,000$ acres could be hand by planes based at Squawking Eagle, and up to $30,000$ acres could be handled from a more distant airs at Crooked Creek. Flying time, pilots, and materials together cost $$3$ per acre when spraying ff Squawking Eagle and $$5$ per acre when handled from Crooked Creek. Tall Tree seeks a minimum spraying plan.