Erich Prisner Fall 2021 Maximizing Prot A company uses two intermediate products to produce their end product. The prot when using a: (in thousands) of product 1, and z (in hundreds) of product 2 is known to be P = (x 0.5)(z 1)(11 2x z) + 500 Both products are limited, we have ac S 6 and 2 S 10. 1. If z is xed, can you tell what :5 (x has to depend on z) the company should choose to maximize their prot, and how high this prot will be? Express both the optimal a: and the resulting prot as expressions in z. 2. What combination of a: and 2: should the company choose to maximize their prot