Anutritionist is planning a menu consisting of two main foods A and B. Each ounce of A contains 2units of fat, 1 unit of carbohydrates and 4 units of protein. Each ounce of B contains 3 units of fat,3 unit of carbohydrates and 3 units of protein. The nutritionist wants the meal to provide at least18 units of fat, at least 12 units of carbohydrates and at least 24 units of protein. Suppose that anounce of A costs 20 cents and an ounce of B costs 25 cents. Let x be the number of ounces of Aand y be the number of ounces of B.(i) What is the objective function to minimize the cost C?(ii) What is the constraint for fat?(ii) What is the constraint for carbohydrates?

Let x be ounces of A y be ounces of B Since the cost is given, we have to minimize them. (i) Ounce…

Answered: A nutritionist is planning a menu…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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(d) A company has three factories. Each factory produces three different products (A, B and C). Factory 1 has a daily production capacity production of 8 units of A, 4 units of B and 8 units of C. Factory 2 has a daily production capacity of 6 units of A, 6 units of B and 3 units of C. Factory 3 has a production capacity of 12 units of A, 4 units of B and 8 units of C. The total demand for product A is 300 units, for product B is 172 units and for product C is 250 units. The daily operating cost for Factory 1 is $55 for Factory 2 is $60 and for Factory 3 is $50. How many days should each factory be operated in order to fill the total demand and the keep the operating cost at a minimum? (iv) (v) Identify the entering, departıng and pivot variables. Use the simplex method to determine the optimal tableau. Ensure that you explain each step in the computation. Identify the basic and non-basic variables. (vii) Identify the optimal solution. (vi)
(a) Determine the amount of potatoes and green beans Maria should purchase each week for the casserole to minimize the ingredient costs while meeting nutritional, taste, and demand requirements. Before she makes her final decision, Maria plans to explore the following questions independently except where otherwise indicated. (b) Maria is not very concerned about the taste of the casserole; she is only concerned about meeting nutritional requirements and cutting costs. She therefore forces Edson to change the recipe to allow for only at least a one to two ratio in the weight of potatoes to green beans. Given the new recipe, determine the amount of potatoes and green beans Maria should purchase each week. (c) Maria decides to lower the iron requirement to 65 mg since she determines that the other ingredients, such as the onions and cream of mushroom soup, also provide iron. Determine the amount of potatoes and green beans Maria should purchase each week given this new iron…
(d) A company has three factories. Each factory produces three different products (A, B and C). Factory 1 has a daily production capacity production of 8 units of A, 4 units of B and 8 units of C. Factory 2 has a daily production capacity of 6 units of A, 6 units of B and 3 units of C. Factory 3 has a production capacity of 12 units of A, 4 units of B and 8 units of C. The total demand for product A is 300 units, for product B is 172 units and for product C is 250 units. The daily operating cost for Factory 1 is $55 for Factory 2 is $60 and for Factory 3 How many days should each factory be operated in order to fill the total demand and the keep the operating cost at a minimum? (i) (ii) (iii) $50. Show a model that represents the company's problem. Write down the dual maximization problem. Write down the initial simplex tableau.
Port Ormond Carpet Company manufactures carpets. Fiber is placed in process in the Spinning Department, where it is spun into yarn. The output of the Spinning Department is transferred to the Tufting Department, where carpet backing is added at the beginning of the process and the process is completed. On January 1, Port Ormond Carpet Company had the following inventories: Finished Goods $8,200 Work in Process-Spinning Department 1,800 Work in Process-Tufting Department 2,900 Materials 4,800 Departmental accounts are maintained for factory overhead, and both have zero balances on January 1. Manufacturing operations for January are summarized as follows: Jan. 1 Materials purchased on account, $82,700 2 Materials requisitioned for use: Fiber-Spinning Department, $43,800 Carpet backing-Tufting Department, $34,900 Indirect materials-Spinning Department, $3,200 Indirect materials-Tufting Department, $2,800 31 Labor used: Direct…
The following data structure and constraints exist for a magazine publishing company:a. The company publishes one regional magazine in each of four states: Florida (FL), South Carolina (SC), Georgia (GA), and Tennessee (TN).b. The company has 300,000 customers (subscribers) distributed throughout the four states listed in Problem 2a.c. On the first day of each month, an annual subscription INVOICE is printed and sent to each customer whose subscription is due for renewal. The INVOICE entity contains a REGION attribute to indicate the customer's state of residence (FL, SC, GA, TN):The company is aware of the problems associated with centralized management and has decided to decentralize management of the subscriptions into the company's four regional subsidiaries. Each subscription site will handle its own customer and invoice data. The management at company headquarters, however, will have access to customer and invoice data to generate annual reports and to issue ad hoc queries such…
Sapphire Farm is a business that trains and boards horses and educates young riders about horse care, nutrition, and riding. The farm provides both a learning and a fun environment for young equestrians and their families. It also hosts horse shows for beginning riders to help them build confidence in the show ring and to prepare them for local horse shows by running shows in accordance with the rules and regulations of the National Hunter Jumper Association. Feedback from the horseshow judges are provided to all riders so they can do better at their next meet. In addition, all warm-up and training areas are fenced and monitored by adults for the children's safety. If the farm unintentionally hired someone to teach riding who was unable to deal effectively with small children, then a _____ would occur. A. service divergence B. quality underperformance C. performance breakdown D. product variation E. customer aberration
Scenario You are going to plant a rectangular flower bed consisting of tulips in the middle surrounded by daisies on the outside. You have the same amount of each flower and will need an equal area for each. You want the border of daisies to be uniform around the tulips in the middle, as shown in the diagram below:
Harvesting Fruit Toward the middle of the harvesting sea-son, peaches for canning come in three types, early, late, and extra late, depending on the expected date of ripening. During a certain week, the following data were recorded at a fruit delivery station:34 trucks went out carrying early peaches;61 carried late peaches;50 carried extra late;25 carried early and late;30 carried late and extra late;8 carried early and extra late;6 carried all three;9 carried only fgs (no peaches at all). (a) How many trucks carried only late variety peaches?(b) How many carried only extra late?(c) How many carried only one type of peach?(d) How many trucks (in all) went out during the week? with a venn diagram
Harvesting Fruit Toward the middle of the harvesting sea-son, peaches for canning come in three types, early, late, and extra late, depending on the expected date of ripening. During a certain week, the following data were recorded at a fruit delivery station:34 trucks went out carrying early peaches;61 carried late peaches;50 carried extra late;25 carried early and late;30 carried late and extra late;8 carried early and extra late;6 carried all three;9 carried only fgs (no peaches at all).(a) How many trucks carried only late variety peaches?(b) How many carried only extra late?(c) How many carried only one type of peach?(d) How many trucks (in all) went out during the week?
Sapphire Farm is a business that trains and boards horses and educates young riders about horse care, nutrition, a product focusand riding. The farm provides both a learning and a fun environment for young equestrians and their families. It also hosts horse shows for beginning riders to help them build confidence in the show ring and to prepare them for local horse shows by running shows in accordance with the rules and regulations of the National Hunter Jumper Association. Feedback from the horseshow judges are provided to all riders so they can do better at their next meet. In addition, all warm-up and training areas are fenced and monitored by adults for the children's safety.According to the service-profit chain, the high-value service offered by Sapphire Farm LLC should lead to: A. congruent market response B. positive framing C. customer autonomy D. customer satisfaction E. a product focus
An experiment is to be performed to determine the effectiveness of a new product promotion program. The experiment will be used to compare four different promotion techniques. Each customer will be exposed to only one of the four promotions. Customers from five different geographical regions will be considered. Customers will also be divided up into three categories by size as determined from annual sales. Customers can be exposed to their program for either three or six months. How many different configurations are there in this experiment?
The Marketing department of Luminus group holds five employees, one supervisor and one middle manager who is the department manager. Riyad One of the five employees and has been working in the company for 15 years, he is an expert in his work and is loyal to the company. While Razan is a new employee, who was hired two weeks ago and still learning her tasks and has high loyalty to the company as well. Their supervisor (Omar) cannot decide how to treat these two employees. Explain how he can do the managerial functions differently between the two employees, then explain what leadership style can he uses. Omar do three managerial functions: Riyad (15 years of experience ) Razan (new employee) Planning Organizing Controlling Leadership Theory name Riyad (15 years) Razan (new employee)

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