The profit function for two products Profit --W? +42x, - 3x2 + 4x2 + 700, where x, represents units of production of product 1 and represents units of production of product 2 Producing one unit of product 1 requires 4 labor hours and producing one unit of product requires 6 Inbor-hours. Currently, 24 iabor hours are available. The cost of labor hours is already factored into the profit function. However, it is possible to schedule overtime at a premium of 15 per hour (a) Formulate an optimiention problem that can be used to find the optimal production quantity of product 1 and the optimal number of overtime hours to schedule. (Lot OT be the number of overtime hours scheduled.) St. $ 24+OT ** OTO (b) solve the optimization model you formulated in part (). How much should be produced and how many overtime hours should be scheduled? What the proht ondet? (Mound your answers to three decimal places) Units of products Units of product Overtime hours Profit OT