A company produces two products, A and B. The sales volume for A is at least 80% of the total sales of both A and B. However, the company cannot sell more than 100 units of A per day. Both products use one raw material, of which the maximum daily availability is 240lb. The usage rates of the raw material are 2lb per unit of A and 4lb per unit of B. The profit units for A and B are $20 and $50, respectively. Determine the optimal product mix for the company.