Question: i need answer regarding this question solved please were no other Turkish restaurants in Darlington, and the possibility of doing something new and somewhat risky
were no other Turkish restaurants in Darlington, and the possibility of doing something new and somewhat risky intrigued the two friends. They purchased a home just off Main Street for their new restaurant, which they named "Bosphorus Food." Zara and Amanda knew in advance that at least initially they could not offer a full, varied menu of dishes. They had no idea what their local customers' tastes in Turkish cuisine would be, so they decided to serve only two full-course meals each night, one with beef and the other with fish. Their chef, Cangir, was confident he could make each dish so exciting and unique that two meals would be sufficient, at least until they could assess which menu items were most popular. Cangir indicated that with each meal he could experiment with different appetizers, soups, salads, vegetable dishes, and desserts until they were able to identify a full selection of menu items. The next problem for Zara and Amanda was to determine how many meals to prepare for each night so they could shop for ingredients and set up the work schedule. They could not afford too much waste. They estimated that they would sell a maximum of 60 meals each night. Each fish dinner, including all accompaniments, requires 15 minutes to prepare, and each beef dinner takes twice as long. There is a total of 20 hours of kitchen staff labor available each day. Zara and Amanda believe that because of the health consciousness of their potential clientele, they will sell at least three fish dinners for every two beef dinners. However, they also believe that at least 10% of their customers will order beef dinners. The profit from each fish dinner will be approximately $12, and the profit from a beef dinner will be about $16. i. Formulate a linear programming model for Zara and Amanda that will help them estimate the number of meals they should prepare each night ii. Solve the developed model graphically. iii. If Zara and Amanda increased the menu price on the fish dinner so that the profit for both dinners was the same, what effect would that have on their solution? iv. Suppose Zara and Amanda reconsidered the demand for beef dinners and decided that at least 20% of their customers would purchase beef dinners. What effect would this have on their meal preparation plan? v. Solve the developed model using computer vi. Zara and Amanda are considering investing in some advertising to increase the maximum number of meals they serve. They estimate that if they spend $30 per day on a newspaper ad, it will increase the maximum number of meals they serve per day from 60 to 70 . Should they make the investment? vii. Zara and Amanda are concerned about the reliability of some of their kitchen staff. They estimate that on some evenings they could have a staff reduction of as much as 5 hours. How would this affect their profit level? viii. The final question they would like to explore is raising the price of the fish dinner. Zara believes the price for a fish dinner is a little low and that it could be closer to the price of a beef dinner without affecting customer demand. However, Amanda has noted that Cangir has already made plans based on the number of dinners recommended by the linear programming solution. Zara has suggested a price increase that will increase profit for the fish dinner to $14. Would this be acceptable to Cangir, and how much additional profit would be realized
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