Question 2Ah Heng is in egg business. He has three poultry farms, A, B and C. The eggs are sent to threecities, X, Y and Z. The daily egg production of each farm is 7000, 8000 and 9000, respectively.The requirements at cities X, Y and Z are 6,500, 7,500 and 9,000 respectively. The average costof transporting an egg from farm A to cities X, Y and Z are 3, 4 and 5 cents. The average cost oftransporting an egg from farm B to cities X, Y and Z are 2, 4 and 5 cents. The average cost oftransporting an egg from farm C to cities X, Y and Z are 3, 4 and 2 cents.a) Is this a balanced problem?b) Obtain the initial tableau for the transportation problem1

The question is related to Transportation Problem. The basis rule of transportation problem is…

Answered: Ah Heng is in egg business. He has…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section5.5: Shortest Path Models

Problem 31P

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Question 1: XYZ machine production company has three plants serving four distribution centers. Each plants produces 7, 10 and 18 machines, respectively. The amount of machine demanded by centers is 5, 8, 7 and 15 machines, respectively. The cost of sending a machine from a plant to a distribution centre is given in the table below. Formulate a balanced transportation problem in a transportation table and show the DP model of the problem to meet the demand of each city at the least cost. Plant From To A B с Demand 19 70 40 D 5 3 2 30 30 10 Distribution center E 8 8 50 40 60 F 7 7 12 60 20 H 15 7 8 Supply 7 10 18 35/35
QUESTION 2 NAK Consult Ltd is a construction company with many contracts being executed concurrently. A large number of workers are on various construction sites. NAK Consult Ltd has an internal audit department and the team is currently reviewing cash wages systems within the company. The following information is available concerning the wages systems: • Workers on each site are controlled by a foreman. The foreman has a record of all employee numbers and can issue temporary numbers for new employees. • Any overtime is calculated by the computerized wages system and added to the standard pay. • The two staff in the wages department make amendments to the computerized wages system in respect of employee leave, illness, as well as setting up and maintaining all employee records. • The computerized wages system calculates deductions from gross pay, such as employee taxes (PAYE), and other statutory deductions. • Finally, a list of net cash payments for each employee is produced. Cash is…
> Question 11 For a maximization problem, the optimistic approach often is referred to as the maximin maximax minimin minimax approach.
Question 4 Jo-Jo Inc is a manufacturing firm that produces soap. The company is owned by two brothers, Donald and David Schroeder, and has one plant. The company has experienced significant growth in demand, and the current plant does not appear to have sufficient capacity to meet demand. The company has decided to build a new plant to meet the additional capacity. However, the brothers must decide whether to construct a small, medium, or large plant. The brothers hired a forccasting consultant to predict demand. The consultant's report indicates that there is a 25 percent chance that the demand will be low and a 75 percent chance that the demand will be high. If Jo-Jo Inc. builds a small facility and the demand indeed turns out to be low, the consultant expects net profit of $40 million. If the firm builds a small plant and the demand turns out to be high, then the firm has two options: (1) subcontract or (2) expand the facility. If Jo-Jo Inc. decides to subcontract, the expected net…
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Question 3 Best Technology (BT) is a leading manufacturer of adhesives used in a variety of industrial applications. BT produces two types of industrial adhesives in its Texas plant for the US market. The two types of adhesives are produced using the same production technology and equipment. They have identical characteristics except their adhesive strengths which are determined by the last production step of mixing with different chemicals. The demands for the two types of adhesives are independent and their weekly demands in the US distribution centre (DC) are approximately normally distributed with their means and standard deviations given below. Adhesives Type I Adhesive Type II Adhesive Mean (kg) Standard Deviation (kg) 9,000 10,000 4,000 3,000 The replenishment lead time of the adhesives from BT's manufacturing plant to the US DC is 4 weeks. The current adhesive production cost is $100/kg, the cost of shipping the adhesive from the plant to the DC is $20,000, and the annual…
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…
Additional Question. The XYZ steel company must determine a policy for ordering coal to operate 15 converters. The ordering cost is $85/order and the cost of holding coal is 15% of the purchasing cost. The XYZ has a contract to obtain the coal for $14 per ton for the coming year. Each converter requires exactly 8 tons of coal per day to operate, and the firm operates 300 days per year. a. Determine the optimal quantity of coal to receive in each order. b. Determine the total inventory-related cost associated with the optimal ordering policy c. Optimal number of orders to place per year and number of operating days between orders, based on the optimal ordering. d. The XYZ is now considering to the following discount policy provided by supplier: Order Quantity (tons) 1,000 - 1,999 Price per ton $14 $12 $10 2,000 - 2,999 3000+ Please help the XYZ to determine the amount the firm should order.
Q. Hotel California has 160 rooms. The hotel has an ample low-fare demand at the room rate of $200 per night, but the demand from the high-fare class which pays $450 per night on average, is uncertain. Table below shows the number of high-fare rooms that were booked during the past 30 days. How many rooms should Hotel California protect for high-fare customers to maximize its expected revenue? Number of high-fare rooms Frequency 0 5 1 3 2 6 3 8 4 4 5 1 6 1 7 2 Total=30
Problem 225-17 (Algo) The M-N plant manufactures two different products: M and N. Selling prices and weekly market demands are shown in the following diagram. Each praduct uses raw materials with costs as shown. The plant has three different machines: A, B, and C. Each performs different tasks and can work on only one unit of material at a time. Product M Resources: A, B, C (one each) Availability: 3,900 min./week Operating expense: $12,000/week $190/unit 100 units/week Product N $200/unit 50 units/week 15 min./unit 15 min/unit A B 20 min./unit 15 min./unit 15 min./unit RM-1 $60/unit RM-2 $40/unit RM-3 $40/unit Process times for each task are shown in the diagram. Each machine is available 3,900 minutes per week. There are no "Murphys" (major opportunities for the system to foul up). Setup and transfer times are zero. Demand is constant. Operating expenses (including labor) total a constant $12,000 per week. Raw materials are not included in weekly operating expenses. a. Which machine…

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