A certain company offers two products (a, b, measured in thousands of units). Their respective demand equations are: $$4a+p_1=14$$ and $$2b + p_2 = 24$$ where p_1, p_2 stand for respectively- the selling price per unit of each product. The overall cost is given by $$a^ 2 + 5ab + b ^ 2$$ Study the maximum profit. (2.5 points)
