December 7 Homework Question

A small company manufactures chairs and footstools. Each chair requires 7 feet of lumber and every footstool requires 3 feet. A chair takes 8 hours to make, and a stool takes 2 hours to make. Profit for chairs is $30.00, and footstools yield $10.00 in profit. If 420 feet of lumber and 400 labour hours are available, how many of each type should be built to maximize profit???