Problem 3 Problem Statement You work for a large tach company and have been put incharge of a raw division which is tasked with developing cellphones that could potentially compete with the iPhone. There are two models of phones your division will produce the saraland and the deless model. Your supervisor tells you that if this new division does hat prove profitable during the first quarter the ouner of the tech company may scrap the shole cell phone plan and your division with it. Therefore, It is up to yee to generate the most paisible premise from the division. The company inform you heat one skindand model will sell for $52, and the one debose model will see for $5. If we let x represent the number of standand models sold and let y'sepresent the number of delase models said, the RLy) = 62x + 68p Again, it is not a sufficient strategy is simply sell as many phocaea as possible because there are sorce contraints in the marafactoring process that you must be aware of Connimint I: The awoke has given you N workers and stated they mut wark so mare that 460 total hours in a week. Since the standard model takea 3 hours to make, and the delane model talea 4 hears to reake, you raced to make sure that 3x + 4y 5 460 Constraint 2: The bass is the a big believer in creating a strong work ethic so the number of phases you on produce mut require a minimum of 360 hours a work so you must also make sure that 37 + 4y 2 360 Consuaint 3: The bass then inforts you that the company has outain deals with claxtronic companies in place and can acquire the parts required to produce the deluse phones cheaper than the makerials required for the standard phora. The parts for are standard phone cut $20 and the parts for one deluse phone cost $10. Since you have a weekly budget of $1900 you must alon came that 20x + 107 $ 1900 - 2x 4 y $ 190 If we pur: all of his information together, your task is to maximize subject in the carmaairis 320, y 20 Sr + 4y $ 440, 1x 4 47 2 380 and 2x 4 7 5 140 Questions 1. Graph each of the linkes defired by the constraints. a. Which Wine from the figer corresponds to be + by = 4607 h. Which line from the figue corresponds to be + by = 3607 4. Which line from the figure corresponds to 2x + y = 1907 1. Marify the region from the figure below that sopresents the feasible region defined by the constraints. O 3. Determine the vertices of the feasible region 4. Calculme the value of the revenue function for each of the voices of the feasible region. 3. How many standard phones and how many deluxe phones should you produce each week to musicrice weekly revenant