Wk Qu. 8-13 A firm offers three different prices on its... 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. Product1 has the following profitability: $11 each for the rst 70 units, $10 each for units 71170, and $9 for each unit over 170. Product 2's profitability is $11 each for the first 45 units, $10 each for units 46120, and $9 each for each unit over 120. The products each require 3 raw materials to produce (see table below for usages and available quantities). Product 1 usage (poundsProduct 2 usage (pounds Available Quantity Raw Material per unit) per unit) (pounds) 6 4 1,608 12 10 1,006 10 7 2,006 Use separable programming to find the optimal production plan. (Leave no cells blank be certain to enter \"0" wherever required. Round the first two answers (units of Product 1 and 2) to the nearest whole number. Round the total profit answer to 2 decimal places and use unrounded unit quantities to compute it.) - units of Product 1 and - units of Product 2. The total prot from this plan will be