LP Model FormulationPlease make sure that your answers in LP Model Formulation are composed of Decision Variables, Objective Functionand Constraints.1. RDB caterer must prepare from five fruit drinks in stock 500 gal of a punch containing at least 20 percent orange juice, 10percent grapefruit juice, and 5 percent cranberry juice. If inventory data are as shown below, formulate the LP model thatwill enable RDB caterer to determine how much of each fruit drink to use to obtain the required composition at minimumtotal cost.Orange Juice,%CranberrySupply, galCost ($) / galGrapefruitJuice,%Juice,%Drink A40402001.5Drink B510204000.75Drink C1001002.00Drink D100501.75Drink E8000.25

Given data is Demand = 500 gal Minimum requirement of orange juice = 20% = 100 gal Minimum…

Answered: LP Model Formulation Please make sure…

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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As with other products, Fisher-Price faces the decision of how many Weather Teddy units to order for the comingholiday season. Members of the management team suggested order quantities of 15,000, 18,000, 24,000, or28,000 units. The wide range of order quantities suggested indicates considerable disagreement concerning themarket potential. The product management team asks you for an analysis of the stock-out probabilities forvarious order quantities, an estimate of the profit potential, and to help make an order quantity recommendation.Fisher-Price expects to sell Weather Teddy for $24 based on a cost of $16 per unit. If inventory remains afterthe holiday season, Fisher-Price will sell all surplus inventory for $5 per unit. After reviewing the sales historyof similar products, Fisher-Price’s senior sales forecaster predicted an expected demand of 20,000 units with a.95 probability that demand would be between 10,000 units and 30,000 units. Question: One of Fisher-Price’s managers felt…
A jewelry manufacturer is creating a routine order schedule for some new products: J66 and J67. J66 can be ordered any time. J67 is set up to be ordered every 4 weeks. The company is closed 2 weeks out of a 52 week year otherwise it is open. Given the following, show me the calculation (I have provided the final answer) the questions at the end: J66 acceptable stockout risk = 2.5%, lead time = 2 weeks, ordering cost =$70, annual holding cost = 30%, unit cost =$15, standard deviation = 4 units per week, and average weekly demand is 60 units. J67 acceptable stockout risk = 2.5%, lead time = 2 weeks, ordering cost =$30, annual holding cost = 30%, unit cost =$20, standard deviation = 5 units per week, and average weekly demand is 70 units. I know the reorder point for j67 is 153 units on hand. 1) Show me the math to come up with the 153 units answer. 2) What is the reorder point for the J66? (I know the answer is 306 units so show me the calculation), 3) If the J67 has 110 units on…
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Algro Inc. keeps a wide range of parts and materials on hand for use in its production processes. Management has recently had difficulty managing parts inventory as demand for its finished goods has increased; they frequently run out of some critical parts while having an endless supply of others. They would like to classify their parts inventory according to the ABC approach to better control inventory. The following is a list of parts, along with their annual usage and unit value: Item Annual Unit Item Annual Unit Number Usage Cost Number Usage Cost 1 36 $350 2 510 30 3 50 23 4 300 45 5 18 1900 6 500 8 7 710 4 8 80 26 9 344 28 10 67 440 11 510 2 12 682 35 13 1216 95 50 14 10 3 15 820 1 KARAN2222222222 16 60 $610 17 120 20 18 270 15 19 45 50 20 19 3200 21 910 3 12 4750 23 30 2710 24 24 1800 25 870 105 26 244 30 27 750 15 28 45 110 29 46 160 30 165 25 a. Classify the inventory items according to the ABC approach using the dollar value of annual demand. b. Clearly explain why you…
Birka Styles & Co is introducing a new line of beachwear for their retail stores. The manager needs to decide how many lots of the new beachwear to order for their stores. The marketing came up with a payoff table (see below) considering information about the price, projected sales level, and cost of inventory and ordering. DEMAND Order size Low Medium High 1 lot 12,000 15,000 15,000 2 lots 9,000 25,000 35,000 3 lots 6,000 35,000 60,000 The owner found out that: P(Low demand) = 1/3; P(Med demand) = 1/2; P(High demand) = 1/6. Which of the following decision is NOT true? A)The best decision is to order 3 lots for a payoff of $29,500. The probabilities gave me enough information to perform a Laplace approach. B)The best decision is to order 3 lots for a payoff of $29,500. The probabilities gave me enough information to perform the EMV approach. C)The EVPI is $2,000. D)The EVwPI is $31,500.
Problem 7 Lynne Chappell manages the inventory of supplies in a large hospital. To determine which items should be closely monitored, Lynne decided to use the ABC classification schemeto group the items on the basis of their value. Asthe following table shows, she took a random sample of20 items and recorded the annual usage and unit cost ofeach. How should each item be classified?Inventory Item Unit cost(in U.S.dollars) AnnualUsageP21 $80 800A12 $400 70K43 $50 100S54 $60 90C25 $50 130D76 $30 170E27 $20 200F38 $300 90H19 $520 120Q10 $10 100R82 $20 80G65 $80 70L71 $220 200M94 $70 80V45 $15 60T62 $30 180I17 $20 80W22 $300 90O37 $700 85N88 $5 100
Becky Shelton, a teacher at kemp middle school is in charge of ordering the T-shirts to be sold for the school's annual fund-raising project the t-shirts are printed with a special kemp school logo. In some years the supply of T-shirts has been insufficient to satisfy the number of sales orders. In other years, T-shirts have been left over. excess T-shirts are normally donated to some charitable organization. T-shirts cost the school $7 each and are normally sold for $14 each. Ms Shelton has decided to order 790 shirts. Required 1) if the school receives actual sales orders for 715 shirts, what amount of profit will the school earn?what is the cost of waste due to excess inventory? 2) If the school receives actual sales orders for 830 shits, what amount of profit will the school earn? What amount of opportunity cost will the school incur? a) Profit $1,050 waste due to excess inventory b) Profit opportunity cost

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