A company manufactures two products. If it charges price pi for product i, it can sell qi units of product i, where q1 = 80 – 2p1 + p2 and q2 = 100 – 3p2 + p1. It costs $8 to produce a unit of product 1 and $15 to produce a unit of product 2. a.  How many units of each product should the company produce to maximize its profit? If needed, round your answers to one decimal digit.   Product 1 Product 2 Production quantities         b.  What prices should the company charge to maximize its profit? If needed, round your answers to the nearest cent.   Product 1 Product 2 Prices $

A company manufactures two products. If it charges price p_i for product i, it can sell q_i units of product i, where q₁ = 80 – 2p₁ + p₂ and q₂ = 100 – 3p₂ + p₁. It costs $8 to produce a unit of product 1 and $15 to produce a unit of product 2.

a.  How many units of each product should the company produce to maximize its profit? If needed, round your answers to one decimal digit.

b.  What prices should the company charge to maximize its profit? If needed, round your answers to the nearest cent.