A firm offers three different prices on its products, depending upon the quantity purchased. Since available resources are limited, the firm would like to prepare an optimal production plan to maximize profits. Product 1 has the following profitability: $16 each for the first 75 units, $14 each for units 76150, and $10 for each unit over 150. Product 2's profitability is $17 each for the first 50 units, $15 each for units 51100, and $12 each for each unit over 100. The products each require 3 raw materials to produce (see table below for usages and available quantities). Available Quantity (pounds) 1200 Product 1 usage Product 2 usage (pounds per unit) 4 (pounds per unit) Raw Material A 4 10 2700 C 10 9. 3600 Use separable programming to find the optimal production plan. (Round all quantities to the nearest whole number. ) Total units of Proudct 1 produced Total units of Product 2 produced = Total profit =