The management of the Albert Hanson Company is trying to determine the bestproduct mix for two new products. Because these products would share thesame production facilities, the total number of units produced of the twoproducts combined cannot exceed two per hour. Because of uncertainty abouthow well these products will sell, the profit from producing each productprovides decreasing marginal returns as the production rate is increased.In particular, with a production rate of R1 units per hour, it is estimatedthat Product 1 would provide a profit per hour of $200R1 - $100R12.If theproduction rate of product 2 is R2 units per hour, its estimated profit perhour would be $300R2 - $150R22.