A company manufactures two products. If it charges price pi for product i, it can sell qi units of product i, where q1 = 603p1 +2p2 and q2 = 802p2 +p1.

Thus the production quantity for product 1 is less than q1 and the production quantity for product 2 is less than q2. Your model will have only two constraints: Quantity Produced of Product i <= Qi for i=1, 2.

It costs $6 to produce a unit of product 1 and $12 to produce a unit of product 2.

The company wants to decide on the number of each product that the company should produce, and the prices the company should charge to maximize its profit. What is the maximum profit? Please round up your computed maximum profit level to the closest integer.

Group of answer choices

between $1200 and $1205

between $1210 and $1215

between $1220 and $1225

between $1230 and $1235