clear answer please QUESTIONMuir Manufacturing produces two popular grades of commercial carpeting among its many otherproducts. In the coming production period, Muir needs to decide how many rolls of each grade shouldbe produced in order to maximize profit. Each roll of Grade X carpet uses 50 units of synthetic fiber,requires 25 hours of production time, and needs 20 units of foam backing. Each roll of Grade Y carpetuses 40 units of synthetic fiber, requires 28 hours of production time, and needs 15 units of foambacking.The profit per roll of Grade X carpet is $200 and the profit per roll of Grade Y carpet is $160. In thecoming production period, Muir has 3000 units of synthetic fiber available for use. Workers have beenscheduled to provide at least 1800 hours of production time (overtime is a possibility). The companyhas 1500 units of foam backing available for use.Develop and solve a linear programming model for this problem.

The profit per roll of Grade X carpet is $200 and the profit per roll of Grade Y carpet is $160. In th coming production period, Muir has 3000 units of synthetic fiber available for use. Workers have bee scheduled to provide at least 1800 hours of production time (overtime is a possibility). The compan has 1500 units of foam backing available for use. Develop and solve a linear programming model for this problem.

The profit per roll of Grade X carpet is $200 and the profit per roll of Grade Y carpet is $160. In th coming production period, Muir has 3000 units of synthetic fiber available for use. Workers have bee scheduled to provide at least 1800 hours of production time (overtime is a possibility). The compan has 1500 units of foam backing available for use. Develop and solve a linear programming model for this problem.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section: Chapter Questions

Problem 69P: The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon...

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The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.
Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.
Production and Materials Purchases Budgets White Corporation’s budget calls for the following sales for next year:Quarter 1 90,000 units Quarter 3 68,000 unitsQuarter 2 76,000 units Quarter 4 96,000 unitsEach unit of the product requires 3 pounds of direct materials. The company’s policy is to begineach quarter with an inventory of product equal to 5% of that quarter’s estimated sales requirementsand an inventory of direct materials equal to 20% of that quarter’s estimated direct materials requirements for production.Required Determine the production and materials purchases budgets for the second quarter.
Company ZWZ manufactures three products in a serial system; Product XA is manufactured in Stage 1, Product XB in Stage 2, and XC in Stage 3. Product XB has a sales potential in the market; hence, some of it can be sold at the end of Stage 2, and the remaining can be moved to Stage 3. The third stage produces Product XC, and then delivers it to customers. Two units of Product XA produced in Stage 1 are required for each unit of Product XB in Stage 2. In addition, four units of Product XB produced in Stage 2 are required for each unit of Product XC in Stage 3. Stage 1 can only use regular time; however, Stage 2 has the options of using regular time and overtime in manufacturing. On the other hand, Stage 3 has only one alternative, which is subcontracting. The pertinent data are provided below: Stage 2 Stage 1 11 No overtime No subcontracting No sales 0.07 Unit regular time cost (TL) Unit overtime cost (TL) Unit subcontracting cost (TL) Unit selling price (TL) Unit processing time (hrs)…
A company produces two products: A and B. Prod-uct A sells for $11 per unit and product B sells for $23 per unit. Producing a unit of product A requires two hours on assembly line 1 and one unit of raw ma-terial. Producing a unit of product B requires two units of raw material, one unit of A, and two hours on as-sembly line 2. On line 1, 1300 hours of time are avail-able, and 500 hours are available on line 2. A unit of raw material can be bought (for $5 a unit) or produced(at no cost) by using two hours of time on line 1.a. Determine how to maximize profit.b. The company will stop buying raw material whenthe price of raw material exceeds what value? (UseSolverTable.)
Efua Babyson (not a real name) completed Fashion Design Programme at a Technical University in Takoradi. Efua decided to join a dress-making group to gain experience for her career. In the course of her internship, Efua has observed that there are always a lot of beautiful pieces of leftover clothes that go waste thereby requiring the shop to spend money to dispose them. She is then thinking of designing fashioned carrier bags with the leftover clothes. Efua needs ideas on what factors to consider in decide to go or not go for the development of the conceived business idea. (a) Discuss four key things to consider in deciding to pursue or not the conceived business idea?
Find the optimum number of batches (to the nearest whole number) of an item that should be produced annually (in order to minimize cost) if270,000 units are to be made, it costs $4 to store a unit for one year, and it costs $340 to set up the factory to produce each batch 42 batches 40 batches 30 batches 28 batches QUESTION 4
Mpho is an avid seamstress and want to sew and sell high quality, reusable designer face masks during the current Covid-19 pandemic. She will design and sew the masks herself and use her automatic embroidery machine to put her logo on each mask sold. With the help of her son, deliveries will be made all over Gauteng within 3 days of placing the order. Every mask will have a unique three-layer design with adjustable straps to ensure comfort and it. Mpho’s only expenseis the material needed to sew the masks and delivery costs. At this stage, Mpho’starget market is limited to Gauteng. Draw a diagram to illustrate the transformation process of Mpho’s new business. Be sure to include all relevant elements, headings and arrows to indicate the flow of products/ services. Question: 1. Draw a diagram to illustrate the transformation process of Mpho’s new business. Be sure to include all relevant elements, headings and arrows to indicate the flow of products/ services.
Mpho is an avid seamstress and want to sew and sell high quality, reusable, designer face masks during the current Covid-19 pandemic. She will design and sew the masks herself and use her automatic embroidery machine to put her logo on each mask sold. With the help of her son, deliveries will be made all over Gauteng within 3 days of placing the order. Every mask will have a unique threelayer design with adjustable straps to ensure comfort and fit. Mpho’s only expense is the material needed to sew the masks and delivery costs. At this stage, Mpho’s target market is limited to Gauteng. Draw a diagram to illustrate the transformation process of Mpho’s new business. Be sure to include all relevant elements, headings and arrows to indicate the flow of products/ services
Because of its labor contract, a company must hire enough labor for 100 units ofproduction per week on one shift or 200 units per week on two shifts. It cannot hire,lay off, or assign overtime. During the fourth week, workers will be available fromanother department to work part or all of an extra shift (up to 100 units). There is aplanned shutdown for maintenance in the second week, which will cut production tohalf. Develop a production plan. The opening inventory is 200 units, and the desiredending inventory is 300 units
) The following data have been prepared for master production scheduling purposes in IKEA Australia: End product A: Beginning inventory of 60, Period forecast of 10, Lot size of 30, and 30 hours in lot size. End product B: Beginning inventory of 20, Period forecast of 5, Lot size of 20, and 20 hours in lot size. End product C: Beginning inventory of 30, Period forecast of 15, Lot size of 50, and 50 hours in lot size. Capacity: 38 hours/ week (i) Prepare the master production schedule for these items during the next four periods using the Ethan Allen master production scheduling method. (ii) Suppose that the master production schedule is frozen for the next three periods. What specific impact would the policy have on the IKEA's performance?
The MFA Co. Ltd. presently moves pallet loads of cans from production to the truck dock for loading. The loading dock foreman claims that due to increased production the company needs to purchase five new fork trucks and to hire five persons to operate these trucks. Using the present equipment (fork trucks) the maximum load of cans that can be transported is 1500 lb. at a 13.5” load center. The fork truck currently in use is manufacturer - rated for 3,000 lb. at the 24” load center. Question: Can the pallet load capacity be increased? What, if any, new equipment is required?