Sales & Operations Planning - LPA local firm manufactures children's toys. The projected demand over the next four months for one particular model of toy robot is given in the following table.MonthWorkdaysDemandJanuary233800February167200March202800April224400Assume that a normal day is eight hours. Hiring costs are $350 per worker and firing costs are $850 per worker. Holding costs are $4 per unit held per month. Additionally,assume that it requires an average of two hours for one worker to assemble one toy. Shortages are not permitted. It is given that the ending inventory for December was 900 ofthese toys and the manager wishes to have at least 800 units on hand at the end of April. Assume that the current workforce level is 35 workers. The firm wants to minimize itscost.Answer the following questions.1.Formulate the problem as a linear program. For simplicity, use the number from the questions instead of introducing parameter notations. Clearly define yourvariables and provide the objective function and constraints.2.By looking at the numbers, could the producer avoid hiring new workers?

SInce no shortages are allowed, this will be a chase strategy.

Answered: Sales & Operations Planning - LP A…

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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dt = demand Kt = ordering cost Ct = cost per item ht = holding cost per item per unit time
Backorders: A company is working on its quarterly aggregate production plan. Its quarter forecasts are 6000, 1000, 2500 and 2000, respectively. Suppose that it will use a level plan with backorders (one that produces at the average demand over the four quarters). What is the ending inventory in Quarter 3? (Do not round your intermediate calculations. Round your final answer to the nearest whole number. Only enter the number. Do not enter any units.)
Which of the following is an outcome of keeping a constant level of production capacity while matching the predictable variability? Group of answer choices 1.Surplus of stock can appear during lull periods. 2.Shortage of stock can appear during peak periods. 3.There is no need to adjust the amount of production resources. 4.All of the above.
A retailer has two merchandizers, Sue and Bob, who are responsible for setting orderquantities for the products they manage. For all of their products, the critical ratio is .7and the coefficient of variation of their demand forecasts is 0.35. At the end of the season, Sue is proud to report that she has sold the entire inventory she purchased. Bob, onthe other hand, sold only about a third of his products. Who is more likely to be choosing quantities that maximize expected profit? a. Sue because she doesn’t incur the cost of salvaging inventory.b. Sue because she must have sold more units than Bob.c. Bob because even leftover inventory generates some additional revenue.d. Bob because he is probably ordering more than the mean of the demand forecast.
Rainbow Inc's products are given below. If the company's total labor capacity is 3200 hours/week, which of the products should be produced in a week? Regarding with this plan what will be the total sales and total variable costs of the firm per week? Total Labor Hour Demand Product / Unit Price / Unit vC / Unit (unit) XC610 2,500 1,000 300 XD740 4 3,100 1,500 250 ZS650 3 1,850 750 400 ST340 2 2,250 975 500
In each of the following, name the term defined or answer the question. Answers are listed at the bottom.1. The model was most appropriate for making a one-time purchase of an item.2. The model most appropriate when inventory is replenished only in fixed intervals of time—for example, on the first Monday of each month.3. The model most appropriate when a fixed amount must be purchased each time an order is placed.4. Based on an EOQ-type ordering criterion, what cost must be taken to zero if the desire is to have an order quantity of a single unit?5. The term used to describe demand that can be accurately calculated to meet the need of a production schedule, for example
requirements over a typical six-month periöd are as 1 4 5. 6 Requirement 750 800 750 600 900 700 Produce # of Employees Hire Layoff Beginning Inventory Ending Inventory Average Inventory The current workforce level is 4 workers. Production rate is 150/worker/month. The following costs apply:Wages = $2,000/worker/month Hiring cost - $200/worker Layoff Cost = $250/worker Inventory holding cost = $1/unit/month Back ordering cost - $2/unit/month If a Level strategy is used, what is the total inventory cost, which includes inventory holding cost and back ordering cost? First, you need to determine the quantity to produce every period. 00s O O 1100 O 450 O 900 3. 2.
Ram Roy's firm has developed the following supply, demand, cost, and inventory data. Supply Available Period 1 W N 3 Regular Time 30 35 40 Overtime 15 15 20 Initial inventory Regular-time cost per unit Overtime cost per unit Subcontract 10 10 10 Subcontract cost per unit Carrying cost per unit per month 20 units $100 $160 $250 $2 Demand Forecast 40 55 60 Assume that the initial inventory has no holding cost in the first period and backorders are not permitted. Allocating production capacity to meet demand at a minimum cost using the transportation method, the total cost is $ (enter your response as a whole number).
Biona Enterprise usually gets everyday order of a hundred dozen units while the production can make triple amount of the orders. Thus, any surplus must be deposited in the storage with a cost of $9.50 per unit. Once order takes place, the enterprise will serve it within four working days at $200 for the delivery charges. The enterprise works five days a week and closes it operations three weeks per year while keep some stocks approximately 3% of the yearly demand. Find the optimum value of ordering. The size of Kanban. How frequent the enterprise should deliver the orders in a six-month period?
Please do not give solution in image formate thanku. Develop a production plan and calculate the annual cost for a firm whose demand forecast is fall, 10,000; winter, 8,000; spring, 7,000; summer, 12,000. Inventory at the beginning of fall is 500 units. At the beginning of fall, you currently have 30 workers, but you plan to hire temporary workers at the beginning of summer and lay them off at the end of summer. In addition, you have negotiated with the union an option to use the regular workforce on overtime during winter or spring if overtime is necessary to prevent stock outs at the end of those quarters. Overtime is not available during the fall. Relevant costs are hiring, $100 for each temp; layoff, $200 for each worker laid off; inventory holding, $5 per unit-quarter; backorder, $10 per unit; straight time, $5 per hour; overtime, $8 per hour. Assume that the productivity is 0.5 unit per worker hour, with eight hours per day and 60 days per season.
A local manufacturer of Toys produces several toys. Among the most popular is Elsa Doll. Suppose that there are currently 100 Elsa Doll in inventory and that there are customer orders that have been committed and must be filled. Suppose that a production lot size of 150 Elsa Dolls. The weekly forecasts for the eight weeks are 176, 172, 50, 130, 40, 120, 132, and 135 respectively. The customer orders for weeks 1, 2, 3 through 8 are the 88, 86, 25, 65,20, 51, 0, 0 respectively. Using the standard principles of Master Production Schedule (MPS) along with Available-To-Promise (ATP) for the Elsa Dolls, what is the Available to promise (ATP) level in week 2 Select one: O a. 150 b. 79 O c. 39 O d. 0 Oe. None is correct Next page

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