"Making Turkish Delight at the Rahat Industries" Rahat Industries (RI) is a New York City-based company that manufactures and distributes Turkish delight to grocery chains in New York and New Jersey. The product line includes two main flavors: Ortaky (O), and Beyoglu (B). Each flavor is sold in standard 10 oz. boxes. The table below shows RI's profit contribution for each flavor (in $ per box). Flavor. Profit per box ($) O. 5.0B. 5.3 Given the relatively small size of the market for Turkish delight, RI cannot sell more than 250 boxes of Ortaky, and more than 400 boxes of Beyoglu in the coming week. Both flavors use the following set of main ingredients with limited supply: starch, sugar, and fruit juice. Each flavor also uses other ingredients, such as gelatin, pectin, etc., but RI has an essentially unlimited supply of those ingredients. For the coming week, the amounts of the three main ingredients the company has in storage are as follows: Ingredient. Availability Starch. 150 lbsSugar. 130 lbsFruit Juice. 15 gallons The Ortaky and Beyoglu flavors use the following amounts of the main ingredients (per box): Flavor Starch (lbs). Sugar (lbs). Fruit Juice (gallons)O. 0.1. 0.05. 0.03B. 0.3. 0.1. 0.02 The company needs to decide how many boxes of each flavor to make during the coming week to maximize its weekly profit without exceeding the availabilities of the ingredients or the size of the Turkish delight market. Let O be a decision variable that expresses the number of boxes of the Ortaky flavor to make during the coming week, and let B be a decision variable that expresses the number of boxes of the Beyoglu flavor to make during the coming week. A.) suppose that RI decided to make 250 boxes of ortaky and 350 boxe of beyoglu what is the weekly profit that it will earnB.) how many gallons of fruit juice will the production plan No= 250 & Nb=350 require?C. Onwards in the pic below

(c) Rl is considering setting its production for the next week at the maximum levels that the market will bear - in other words, it is considering a production plan N0 = 250 and N5: 400. is this plan feasible? (d) Write down an algebraic expression for Rl's weekly profit, in $, as a function of the decision variables No and NB. (9) Using the decision variables No and Na, write down a linear algebraic expression for the following constraint: \"The amount of fruit juice used in production during the coming week cannot exceed 15 gallons". (f) Below is a picture of an excerpt from an Excel le set-up to model Rl's profit maximization problem, with the number in cell D3 hidden. A B C D E 1 Ortekdy Beyoglu 2 Prot Contribution [Sfboxi 5 5.3 3 UnltetoMeke 100 4 5 Recourse requirement! 8 omuey Beyoglu Required 7 Starch 0.1 0.3 100 8 Sugar 0.05 0.1 9 FruitJuice 0.03 0.02 0 l The formula in cell E7 is =SUMPRODUCT($C$3:$D$3,CT:D7). What is the value in cell D3? (9) if the formula in cell E7 is copied and pasted into the cell E8. what value will appear in cell E8? (h) Use the le Zooter.xlsx as a template to set up and solve an optimization problem RI faces using Excel and Solver. What are the optimal values of the decision variables? What is the optimal objective function value