Acompany 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 110 units of a per day. both products use one raw material, of which the maximum daily availability is 300 lb. the usage rates of the raw material are 2 lb per unit of a, and 4 lb per unit of b the profit units for a and b are $40 and $90, respectively. determine the optimal product mix for the company