Solve this problem using the simplex method.

Question

A company manufactures checker sets and chess sets. Suppose each day the company has available 1200 boards (which can be used for both games) and 80,000 units of wood for making pieces. Each checker set uses 20 units of wood and each chess set uses 120 units of wood. The distributors the company sells to can take up to 1250 checker sets per day and up to 750 chess sets per day. The company makes a profit of $1.00 on each checker set and $2.00 on each chess set.
(a) How many checker sets and how many chess sets should the company make each day in order to maximize its profits?
?- checker sets
?- chess sets

(b) What is the profit per day using this strategy?
$-? per day