Jenck's Homemade Ice Cream, LLC is planning its production for next week. As there is a current shortagefresh milk and one of the mixing machines is broken, demand for chocolate chocolate-chip ice cream andchocolate peanut-butter ice cream continues to outpace the company's production capacities.The mixing machines will be available for only for only 108.6 hours, and only 15770 gallons of high grade mwill be available. One hundred gallons of chocolate chocolate-chip requires 0.4 hour of mixing and 70 gallorof milk. One hundred gallons of chocolate peanut-butter ice cream requires 0.6 hour of mixing and 75 galloof milk. If company earns a profit of $150.00 per hundred gallons of chocolate chocolate-chip and $155.00 phundred gallons of chocolate peanut-butter, how many gallons of each ice cream should company producenext week to maximize profit? How much profit will result?(Use x for hundred gallons of chocolate chocolate-chip and y for hundred gallons of chocolate peanut-butterUse P for profit.)Maximize Psubject to< 15770< 108.6Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. If morethan one solution exists, enter only one of the multiple solutions below. If needed round ice cream to 2decimal places and profit to 2 decimal places.Gallons of chocolate chocolate-chip ice cream to manufacture to maximize profit is(Remember to multiply your value by 100 since the yariable represents 100 gallons.)Gallons of chocolate peanut-butter ice cream to manufacture to maximize profit is(Remember to multiply your value by 100 since the variable represents 100 gallons.)Maximum profit is $

Linear programming is a mathematical technique that is also used in operations management…

Answered: Use x for hundred gallons of chocolate…

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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Helmer's Rockers manufactures two models, Standard and Premium. Weekly demand is estimated to be 100 units of the Standard Model and 70 units of the Premium Model. The following per unit data apply: Standard PremiumContribution margin per unit $18 $20Number of machine-hours required 3 4If there are 496 machine-hours available per week, how many rockers of each model should Jim Helmer produce to maximize profits?
Emarpy Appliance is a company that produces all kinds of major appliances. Bud Banis, the presidentof Emarpy, is concerned about the production policy for thecompany’s best-selling refrigerator. The annual demand hasbeen about 8,000 units each year, and this demand has beenconstant throughout the year. The production capacity is 200units per day. Each time production starts, it costs the company $120 to move materials into place, reset the assemblyline, and clean the equipment. The holding cost of a refrigerator is $50 per year. The current production plan calls for 400refrigerators to be produced in each production run. Assumethere are 250 working days per year.a) What is the daily demand of this product?b) If the company were to continue to produce 400 units eachtime production starts, how many days would productioncontinue?c) Under the current policy, how many production runs peryear would be required? What would the annual setup costbe?d) If the current policy continues, how many…
Please do not give solution in image format thanku In 2018, the government of Ghana launched operation one district one factory (IDIE). Based on IDIF, Ekumfi Pineapple Factory Co. Ltd (EPF) was launched. In 2019 the management of ERF started production with 100 workers per shift, each of the three shifts working 8 hours per day. Every working day the payroll cost was GHIC 20,000 and overhead expenses amounted to GHC 5000 and material cost GHC 4000. At the end of the first year, the company produced 1,000,000 boxes of pineapple juice. During the second year, EPF acquired a loan from Exim Bank to purchase a new plant. After the introduction of the new plant, the management reduced the size of its workers per shift to 80, each working 8 hours per day, with the payroll cost reducing to GHC 18,000 and overhead expenses also reducing to GHC 4000 and material cost rising to GHC 6000. Production rose to 1,200,000 boxes. Regard yourself as the Operations Manager of EPF: a) What are the…
Bioway, Inc., a manufacturer of medical supplies, uses ag- gregate planning to set labor and inventory levels for the year. While a variety of items are produced, a standard kit composed of basic supplies is used for planning purposes. Demand varies with seasonal illnesses and the quarterly or- dering policies of hospitals. The average worker at Bioway can produce 1000 kits a month at a cost of $9 per kit dur- ing regular production hours and $10 a kit during overtime production. Completed kits can also be purchased from outside suppliers at $12 each. Inventory carrying costs are $2 per kit per month. Overtime is limited to regular pro- duction, but subcontracting is unlimited. Due to high quality standards and extensive training, hiring and firing costs are $1500 per worker. Bioway currently employs 25 workers. Given the demand forecast below, develop a six-month ag- gregate production plan for Bioway using (a) chase demand and (b) a mixed strategy where the current workforce is kept…
Demand for walnut fudge ice cream at the Sweet Cream Dairy can be approximated by a normaldistribution with a mean of 21 gallons per week and a standard deviation of 3.5 gallons per week.The new manager desires a service level of 90 percent. Lead time is two days, and the dairy isopen seven days a week. (Hint: Work in terms of weeks.)a. If an ROP model is used, what ROP would be consistent with the desired service level? Howmany days of supply are on hand at the ROP, assuming average demand?
Demand for walnut fudge ice cream at the Sweet Cream Dairy can be approximated by a normaldistribution with a mean of 21 gallons per week and a standard deviation of 3.5 gallons per week.The new manager desires a service level of 90 percent. Lead time is two days, and the dairy isopen seven days a week. (Hint: Work in terms of weeks.)a. If an ROP model is used, what ROP would be consistent with the desired service level? Howmany days of supply are on hand at the ROP, assuming average demand?b. If a fixed-interval model is used instead of an ROP model, what order size would be needed forthe 90 percent service level with an order interval of 10 days and a supply of 8 gallons on handat the order time? What is the probability of experiencing a stockout before this order arrives?c. Suppose the manager is using the ROP model described in part a. One day after placing anorder with the supplier, the manager receives a call from the supplier that the order will bedelayed because of problems at…
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Use the following information for the next 3 problems: ABC Company plans to construct a 60,000 sq. ft private warehouse and rent public warehouse as needed. Warehouse inventory turns at the rate of 2 times per month. One pound of merchandise occupies 0.2 cubic feet of warehouse space and can be stacked 10 feet high. Given aisles, and normal operating efficiency, only 50 percent of the total warehouse space is actually used for storage. Assume the facility is being built to size so no additional space is allowed for future product growth. A private warehouse can be constructed for $36 per sq. ft. and can be amortized over 20 years. Annual fixed costs amount to $20 per sq. ft. of total space. The cost of operation is $0.03 per pound of throughput. Space may also be rented for a storage charge on inventory of $0.06 per pound per month and a handling charge of $0.05 per pound of throughput. Monthly demands for a typical year are as follows: Month Demand (lb) Jan 2,000,000…
Emarpy Appliance is a company that produces allkinds of major appliances. Bud Banis, the president of Emarpy,is concerned about the production policy for the company’s bestsellingrefrigerator. The annual demand has been about 8,000units each year, and this demand has been constant throughoutthe year. The production capacity is 200 units per day. Each timeproduction starts, it costs the company $120 to move materialsinto place, reset the assembly line, and clean the equipment. Theholding cost of a refrigerator is $50 per year. The current productionplan calls for 400 refrigerators to be produced in each productionrun. Assume there are 250 working days per year.a) What is the daily demand of this product?b) If the company were to continue to produce 400 units each timeproduction starts, how many days would production continue?c) Under the current policy, how many production runs per yearwould be required? What would the annual setup cost be?d) If the current policy continues, how many…
Consider the planned construction of new office building in a downtown area of a large city when office space in in surplus demand (i.e. more office space than users). 1. Explain how the analysis would change if the office were in high demand.
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Use x for hundred gallons of chocolate chocolate-chip and y for hundred gallons of chocolate peanut- Jse P for profit.) Maximize P subject to < 15770 < 108.6 Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes below. If m