James Beerd bakes cheese cakes and Black Forest cakes. During any monthhe can bake at most 65 cakes. The cost per cake and the demands for cake, which must be met ontime, are listed in the Table. It costs $ 1.50 to hold a cheesecake, and $ 1.20 to hold a Black Forest cake,in inventory for a month. Set up the LP and then determine the minimum cost to meet the demand.Month1 Month1 Month2 Month 2 Month3 Month3TYPE Demand Cost/cake Demand Cost/cake Demand Cost/cakecheesecake 4593010.22011.4BlackForest 207.5308.41010.2The minimum cost subject to the conditions is

Decision variables: Suppose-xij be the no. of cakes (i) produced in the month (j), where i = 1,2 and…

Answered: James Beerd bakes cheese cakes and…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter3: Introduction To Optimization Modeling

Section3.8: A Multiperiod Production Model

Problem 22P

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Your firm uses a periodic review system for all SKUs classified, using ABC analysis, as B or C items. Further, it uses a continuous review system for all SKUs classified as A items. The demand for a specific SKU, currently classified as an A item, has been dropping. You have been asked to evaluate the impact of moving the item from continuous review to periodic review. Assume your firm operates 52 weeks per year; the item’s current characteristics are:Demand 1D2 = 15,080 units/yearOrdering cost 1S2 = $125.00/orderHolding cost 1H2 = $3.00/unit/yearLead time 1L2 = 5 weeksCycle@service level = 95 percentDemand is normally distributed, with a standard deviation of weekly demand of 64 units.a. Calculate the item’s EOQ.b. Use the EOQ to define the parameters of an appropriate continuous review and periodic review system for this item.c. Which system requires more safety stock and by how much?
[item no. 9] In marginal analysis with discrete distributions for single-period inventory models, the value of ML/(ML+MP) is 0.8. The probability distribution of sales is given by the following by the table below. Find the optimal number of units to order. Daily demand 80 90 100 110 120 Probability that demand will be at this level 0.10 0.20 0.30 0.30 0.10 a. 90 units b. 110 units c. 100 units d. 80 units
Chris usually sells 120 copies of newspaper each day and believe that sale are normally distributed, with a standard deviation of 15 papers. He pays 70 cents for each paper, which sells $1.25. For each unsold paper, he receives 30-cent credit. a) determine how many papers he should order each day b) calculate the stockout risk for that quantity.
John buys goat milk at a cost of $5 per gallon from a local dairy and sells it for $8 per gallon in its store. The dairy will buy back any milk that is unsold at the end of the day for $2 per gallon. Each day John must determine how many gallons to order. Past sales have ranged between 15 and 18 gallons per day, according to the following demand pattern.Demand:15161718Number of days demand occurred:2486Assume that demand will be within this range in future.(a) What are the possible actions and states?(b) Determine the daily profit (rewards) and show on a reward table.(c) Using each of the following criteria, determine John’s best action.- Maximin- Maximax- Expected value(d) Construct the regret (opportunity cost) matrix and using minimax regret criteria determine John’s best action.
A company forecasts demand for a component at around 2,500 units a year. They make the component internally, and it costs $500 to set up each production run with a variable cost of $30 a unit. The holding costs are 20 % of value a year and the production rate is 10,000 units a year. There is a lead time of two months from receiving a production requisition until finished units begin to come from the production line. Question: How long is each inventory cycle (in weeks)?
Mary hopes to sell 10,000 pieces of chrysanthemum last November but she was able to sell 15,000 chrysanthemum. Her chrysanthemum is sold at 20 pesos each. Her total expenses was 150,000, hence, cost per unit is 15.00. What was her sales volume variance? * 15,000 75,000 25,000 O 100,000
Lia ITZY has determined that the annual demand for number 6 screws is 100,000 screws. Lia, who works in her brother’s hardware store, is in charge of purchasing. She estimates that it costs $10 every time an order is placed. This cost includes her wages, the cost of the forms used in placing the order, and so on. Furthermore, she estimates that the cost of carrying one screw in inventory for a year is one-half of 1 cent. Assume that the demand is constant throughout the year. QUESTION: How many orders per year would be placed? What would the annual ordering cost be?
Lia ITZY has determined that the annual demand for number 6 screws is 100,000 screws. Lia, who works in her brother’s hardware store, is in charge of purchasing. She estimates that it costs $10 every time an order is placed. This cost includes her wages, the cost of the forms used in placing the order, and so on. Furthermore, she estimates that the cost of carrying one screw in inventory for a year is one-half of 1 cent. Assume that the demand is constant throughout the year. QUESTION: How many number 6 screws should Lia order at a time if she wishes to minimize total inventory cost?
Suppose that the newsvendor faces integer-valued demand and must choose an integer value of y. We make no assumptions about the demand distribution (other than that it is an integer) or about the relationship between h and p. Prove that y* is the smallest integer y such that F(y) ≥ (r − c)/(r − v) where F is the cdf of the demand distribution. (Hint: Consider calculating the cost difference between two consecutive integer values.)
Mary hopes to sell 10,000 pieces of chrysanthemum last November but she was able to sell 15,000 chrysanthemum. Her chrysanthemum is sold at 20 pesos each. Her total expenses was 150,000, hence, cost per unit is 15.00. What was her sales volume? * 300,000 150,000 10,000 O 25,000 O 15,000
Your firm uses a periodic review system for all SKUS classified, using ABC analysis, as B or C items. Further, it uses a continuous review system for all SKUS classified as A items. The demand for a specific SKU, currently classified as an A item, has been dropping. You have been asked to evaluate the impact of moving the item from continuous review to periodic review. Assume your firm operates 52 weeks per year; the item's current characteristics are: Demand (D) = 15,080 units/year Ordering cost (S) = $125.00/order Holding cost (H) = $3.00/unit/year Lead time (L) = 5 weeks Cycle service level = 95 percent Demand is normally distributed, with a standard deviation of weekly demand of 64 units. -Calculate the item's EOQ. - Use the EOQ to define the parameters of an appropriate continuous review and periodie review system for this item. -Which system requires more safety stock and by how much? -How do you think each system can affect your procurement procedures/methods?
Your firm uses a periodic review system for all SKUS classified, using ABC analysis, as B or C items. Further, it uses a continuous review system for all SKUS classified as A items. The demand for a specific SKU, currently classified as an A item, has been dropping. You have been asked to evaluate the impact of moving the item from continuous review to periodic review. Assume your firm operates 52 weeks per year; the item's current characteristics are: Demand (D) = 15,080 units/year Ordering cost (S) = $125.00/order Holding cost (H) = $3.00/unit/year Lead time (L) = 5 weeks Cycle service level = 95 percent Demand is normally distributed, with a standard deviation of weekly demand of 64 units. 1- How do you think each system can affect your procurement procedures/methods?

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