A fertilizer mixing plant produces two fertilizers, A and B, by mixing two chemicals, C1 and C2, in different proportions. The contents and costs of the chemicals C1 and C2 are as follows:
Fertilizer A should not contain more than 60% of ammonia and B should contain at least 50% of ammonia. On the average, the plant can sell up to 1000 lb/hr and due to limitations on the production facilities, not more than 600 lb of fertilizer A can be produced per hour. The availability of chemical C1 is restricted to 500 lb/hr. Assuming that the production costs are same for both A and B, determine the quantities of A and B to be produced per hour for maximum return if the plant sells A and B at the rates of $6 and $7 per pound, respectively
