Two products are manufactured by a company. Product 1 brings a profit of $48 per unit and product 2 earns a profit of $36 per unit. There are 120 1b. of raw material on hand. For production, each unit of Product 1 requires 4 lb. of raw material and each unit of Product 2 requires 3 lb. of raw material. There are 80 hours of machine time available. Each unit of Product 1 requires 4 hours of machine time and each unit of Product 2 requires 1 hour of machine time. For assembly, there are 120 hours of assembly time available. Each unit of Product 1 requires 2 hours of assembly time while each unit of Product 2 requires 4 hours of assembly time.
How many units of each product should the company make to maximize profit? Use those results to find the maximum profit.
a. $1260
b. $1440
c. $1780
d. $1900
e. There is no feasible region. Since all constraints cannot be satisfied at the same time, this problem has no solution.