Angela Fox and Zooey Caulfield were food and nutrition majors atState University, as well as close friends and roommates. Upongraduation Angela and Zooey decided to open a French restaurant inDraperton, the small town where the university was located. Therewere no other French restaurants in Draperton, and the possibilityof doing something new and somewhat risky intrigued the twofriends. They purchased an old Victorian home just off Main Streetfor their new restaurant, which they named “The Possibility.”Angela and Zooey knew in advance that at least initially they couldnot offer a full, varied menu of dishes. They had no idea whattheir local customers’ tastes in French cuisine would be, so theydecided to serve only two full-course meals each night, one withbeef and the other with fish. Their chef, Pierre, was confident hecould make each dish so exciting and unique that two meals would besufficient, at least until they could assess which menu items weremost popular. Pierre indicated that with each meal he couldexperiment with different appetizers, soups, salads, vegetabledishes, and desserts until they were able to identify a fullselection of menu items. The next problem for Angela and Zooey wasto determine how many meals to prepare for each night so they couldshop for ingredients and set up the work schedule. They could notafford too much waste. They estimated that they would sell amaximum of 60 meals each night. Each fish dinner, including allaccompaniments, requires 15 minutes to prepare, and each beefdinner takes twice as long. There is a total of 20 hours of kitchenstaff labor available each day. Angela and Zooey believe thatbecause of the health consciousness of their potential clientele,they will sell at least three fish dinners for every two beefdinners. The profit from each fish dinner will be approximately$12, and the profit from a beef dinner will be about $16. -Formulate a linear programming model for Angela and Zooey that willhelp them estimate the number of meals they should prepare eachnight and solve this model graphically. * Please show graph and howto optimize step by step*