1. the profit function for two products is: px42x1-3x2 48x2 +700 where x.1 represents units of production of product 1, and x 2 represents units of production of product 2. producing one unit of product 1 requires hours and producing one unit of product 2 requires 6 labor-hours. currently. 24 labor-hours are available. the cost of labor-hours is already factored profit function, but it is possible to schedule overtime at a premium of $5 per hour. a. formulate an optimization problem that can be used to find the optimal production quantity of products 1 and 2 and the optimal number of over b. solve the optimization model you formulated in part (a) how much should be produced and how many overtime hours should be scheduled? hours to schedule.