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- Question 4An investor is to purchase one of three types of real estate, as illustrated in Figure below. Theinvestor must decide among an apartment building, an office building, and a warehouse. Thefuture states of nature that will determine how much profit the investor will make are goodeconomic conditions and poor economic conditions. The profits that will result from eachdecision in the event of each state of nature are shown in Table below: a) Find the optimal act using Maxi-Max criteriab) Find the optimal act using Mini-Max criteria c) Find the optimal act using Maxi-Min criteria d) Find the optimal act using Min-Max regret tableQuestion content area Part 1 Maria manages a bakery, that specializes in ciabatta bread, and has the following information on demand and costs: Ciabatta Bread Sold Per Hour (Q) Price (P) Total Cost (TC) 0 $6.00 $1.50 1 5.50 5.50 2 5.00 8.50 3 4.50 11.00 4 4.00 13.00 5 3.50 14.50 6 3.00 15.50 7 2.50 17.00 8 2.00 19.50 Part 2 a. To maximize profits, Maria should sell enter your response here loaves of ciabatta bread per hourQuestion 1 (a) Describe the four (4) basic management functions (b) You are the head of your company’s marketing department and you are requiredto achieve a sales target of RM1 million by 31 Dec 2022. Explain how you can usethe four basic management functions to achieve the sales target.
- Question 1The Rotary Club is holding a pizza sale to finance outreach projects. The Club made an agreement to purchase pizza from Pizza Hut at a 30% discount which the Rotary Club can then resell for a profit. It is expected that of the 500 families in the community, at most 70% will buy pizza. Based on a survey of their personal preferences, the students believe that they should orderno more than 120 cheese pizzas, no more than 150 pepperoni pizzas, and no more than 100 vegetarian pizzas. They also want to make sure that at least 20% of the total pizzas are cheese and at least 50% of the pizzas are pepperoni. The standard price (before discount) for the cheese, pepperoni and vegetarian is $12, $15 and $14, respectively. The Rotary Club makes a profit of 10%, 15% and 20%, respectively, for each cheese, pepperoni, and vegetarian pizza they resell. a) Formulate a linear programming model that would determine the optimal solution. An explanation for the derivation of EACH equation should…Question (4): Answer the following problem: Cover Me, Inc. sells umbrellas in two cities. Management assumes that annual rainfall is the primary determinant of umbrella sales, and it wants to generate a linear regression equation to estimate potential sales in another city. Use the table below to develop a linear regression equation to find out what sales might be if the rainfall is 12 inches in City C. Show your work in the below table Rainfall X Sales Y X2 XY City A 36 inches 200 City B 30 inches 250 City C 12 inches Total 66 450Question 1 Given the following payoff table with the profits ($m), a firm might expect alternative investments (A, B, C) under different levels of interest rate. payoffs as profits states of nature decision alternatives 1(5%) 2(7%) 3(9%) A 14 22 6 B 19 18 11 C 12 17 15 a. Use the alternative method to verify EVPI NOW ASSUME THAT THE PAYOFFS ARE COSTS ANSWER THE FOLLOWING: b. What is the most the firm should be willing to pay to obtain further (perfect) information (EVPI)? c. Use the alternative method to verify EVPI. Please answer all three parts of Question 1.
- Question 3 a) The following represents the transportation cost between three warehouses (1, 2, 3) and four markets (A, B, C, D): The following represents the transportation cost between three warehouses (1, 2, 3) and four markets (A, B, C, D): From Warehouse To Market Supply A B C D 1 14 24 18 28 48 2 17 18 25 16 56 3 30 16 22 30 32 Demand 41 34 35 20 b) Draw a well annotated source destination chart illustrating the LP problem above c) Using systematic nomenclature for the variables, write out an LP formulation for the problem. Please explain how you arrive at the answer and show the different steps to answer themModule 5 Question 6 The owner of the Petreno Pharmaceutical Company is evaluating the expected annual sales for a new line of facial care products and estimates that there is a 60 percent chance that the product line will be extremely successful, in which case it will generate sales next year of 8.0 million. However, since the new product line has a unique appeal that will require substantial advertising by its manufacturer to gain consumer acceptance, there is a 40 percent chance that revenues for next year will be a modest 1.0 million. What is the expected level of revenues for the new product line? The expected total revenue for the new line of products is $ ___ millionModule 5 Question 4 Morten Food Products, Inc. is a regional manufacturer of salty food snacks. The firm competes directly with the national brands including Frito-Lay, but only in the U.S. Southeast. Last year Morten sold $300 million of its various chip products and hopes to increase its sales in the coming year by offering a new line of baked chips. The new product line is expected to generate $40 million in sales next year. However, the firm's analysts estimate that about 60 percent of these revenues will come from existing customers who switch their purchases from one of the firm's existing products to the new healthier baked chips. a. What level of incremental sales should the company analyst attribute to the new line of baked chips? b. Assume that 20 percent of Morten's existing customers are actively looking for a healthier snack alternative and will move to another company's baked chip offering if Morten does not introduce the new product. What level of…
- QUESTION 1The table below shows the sales figures for a brand of shoe over the last 12 months.Months SalesJanuary 69February 75March 86April 92May 95June 100July 108August 115September 125October 131November 140December 150 a. Using the following, forecast the sales for the months up to January the following year:-i. A simple three month moving averagequestion A manufacturer is developing a facility plan to provide production capacity for the factory. the amount of capacity required in the future depends on the number of products demanded by its customers. The data below reflect past sales of its products. a) use simple linear regression to forecast annual demand for the products for each of the nnext 3 years. b) determine the correlation coefficient for the data and interpret its meaning. c) find the coefficient of determination for the data and interprete its meaning. year annual sales (number of products year annual sales (number of products) 1 490 5 461 2 487 6 475 3 492 7 472 4 478 8 458Question ThreeThe management of a supermarket wants to adopt a new promotional policy ofgiving free gift to every customer who spends more than a certain amount pervisit at this supermarket. The expectation of the management is that after thispromotional policy is advertised, the expenditure for all customers at thissupermarket will be normally distributed with mean 400 £ and a variance of900£2.1) If the management wants to give free gifts to at most 10% of the customers,what should the amount be above which a customer would receive a free gift?2) In a sample of 100 customers, what are the number of customers whoseexpenditure is between 420 £ and 485 £?3) What is a probability of selecting a customer whose expenditure is differ thanthe population mean expenditure by at most 50 £?4) What is the probability that the expenditure of the first customer exceeds theexpenditure of the second customer by at least 20 £?5) In a sample of 250, find the count that corresponds to the interquartile…