Answer the following true or false e. For a finite production rate model, the optimal lot size to produce each cycle is equalto the maximum inventory each cycle
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Answer the following true or false e. For a finite production rate model, the optimal lot size to produce each cycle is equal
to the maximum inventory each cycle
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- A company produces three different products; x,y, and z. For the production of 1 unit of product x, 1 unit of A and 1 unit of B are used as input. 1 unit of A and 2 units of B are used to produce 1 unit of product y. To produce 1 unit of product z, only 1 unit of A is used. The company holds 40 units of A and 20 units of B periodically in total. By the way, the company can not produce product y more than the twice of product z. On the other hand, the sale price of 1 unit of product x is 10 TL, product y is 15 TL and product z is 12 TL. Furthermore, the cost of 1 unit of product x is 8 TL, product y is 9 TL and product z is 7 TL. According to above information, what should be the company’s optimal product mix to maximize its profit? Construct the problem as a Linear programming model. Solve the above problem by using Simplex Method.(Need both parts a and b) During the next four months, a customer requires, respectively, 500, 650, 1000, and 700 units of a commodity, and no backlogging is allowed (that is, the customer’s requirements must be met on time). Production costs are $50, $80, $40, and $70 per unit during these months. The storage cost from one month to the next is $20 per unit (assessed on ending inventory). It is estimated that each unit on hand at the end of month 4 can be sold for $60. Assume there is no beginning inventory. A. What is the objective function in this problem? B. What are the constraints in this problem? Write algebraic expressions for eachA baker has 150, 90, and 150 units of ingredients A, B, C, respectively. A loaf of bread requires 1, 1, and 2 units of A, B, C, respectively; a cake requires 5, 2, and 1 units of A, B, C, respectively. Find the number of each that should be baked in order to maximize gross income if: A loaf of bread sells for $1.80, and a cake for $3.20.
- A manufacturing process has 12 workers and 6 stations. The process iscompleted in the order given below. Where there are multiple workers within a station,each worker works independently on his/her own unit. Assume inventory buffers areallowed between each station.Station Staffing Processing time (hoursper unit per worker)A 2 2.20B 1 1.25C 3 2.00D 2 2.60E 3 3.00F 1 0.75What is the maximum number of units per hour that can be produced? Assume they startthe day with inventory at each station to work oneach Distributors packages and distributes industrial supplies. A standard shipment can be packaged in a class A container, a class K container, or a class T container. A single class A container yields a profit of $10; a class K container, a profit of $8; and a class T container, a profit of $12. Each shipment prepared requires a certain amount of packing material and a certain amount of time. Formulate and solve this problem using LP software. Resources Needed per Standard Shipment Class of Container Packing Material (pounds) Packing Time (hours) A 2 2 K 1 6 T 3 4 Total amount of resource available per week 120 pounds 210 hours Hugh Leach, head of the firm, must decide the optimal number of each class of container to pack each week. He is bound by the previously mentioned resource restrictions but also decides that he must keep his 6 full-time packers employed all 210 hours (6 workers × 35 hours)…Hi... I'm having trouble with the following: Min Jee wants to combine the sales data from each of the art fairs. Switch to the Combined Sales worksheet, and then update the worksheet as follows: In cell A5, enter a formula without using a function that references cell A5 in the Madison Copy the formula from cell A5 to the range A6:A8 without copying the formatting. In cell B5, enter a formula using the SUM function, 3-D references, and grouped worksheets that totals the values from cell B5 in the Chicago:Madison Copy the formula from cell B5 to the range B6:B8 without copying the formatting. Copy the formulas and the formatting from the range B5:B8 to the range C5:E8. (Hint: You can ignore the error about empty cells because Min Jee will enter the Madison sales data later.)
- A quarry uses five types of rocks to fulfill four orders. The gypsum content, availability of each type of rock, and the production cost per pound for each rock, as well as the size of each order and the minimum and maximum gypsum percentage in each order, are given below.Rock type-------Cost-------% gypsum-------Amount Available1-------------------$1.00-----------2.0%-----------5002-------------------$5.00-----------5.0%-----------6003-------------------$5.50-----------4.5%-----------7004-------------------$2.00-----------3.0%-----------4005-------------------$1.20-----------6.0%-----------450 Order No.--------------------1----------2----------3---------4Order Size------------------500------600------500------350Min % gypsum-----------3.5%-----3.8%-----4.0%-----3.6%Max % gypsum----------4.4%-----4.6%-----4.7%-----4.8%What is the cheapest way to fill the orders?Castergourd Home Products makes two types of butcherblock tables: the Beefeater and the Deutschlander. The two tables are made in the same facility and require the same amount of labor and equipment. In addition, we know the following: Each table costs $300 to make, and each requires, on average, 3.2 hours of labor. Each employee works 160 hours per month, and there is no effective limit on the number of employees. The cost of hiring or laying off an employee is $300. The monthly holding cost for a table is $15. For planning purposes, Castergourd will begin and end with 20 employees and 0 tables in inventory.Forecasted sales data is reported on Excel file attached. a. Develop a top-down level production plan for Castergourd for the 10-month planning period. Calculate the total production, hiring, layoff, and inventory costs for your plan. b. Repeat part a, except in this case develop a chase production plan. c. Repeat part a, except in this case develop a Mixed production…I need help with the constraint and how to solve the probelm on excel
- A linear programming computer package is needed. Edwards Manufacturing Company purchases two component parts from three different suppliers. The suppliers have limited capacity, and no one supplier can meet all the company's needs. In addition, the suppliers charge different prices for the components. Component price data (in price per unit) are as follows. Component Supplier 1 2 3 1 $11 $12 $13 2 $9 $10 $9 Each supplier has a limited capacity in terms of the total number of components it can supply. However, as long as Edwards provides sufficient advance orders, each supplier can devote its capacity to component 1, component 2, or any combination of the two components, if the total number of units ordered is within its capacity. Supplier capacities are as follows. Supplier 1 2 3 Capacity 700 1,100 900 (a) If the Edwards production plan for the next period includes 1,100 units of component 1 and 900 units of component 2, what purchases do you recommend? That is,…A linear programming computer package is needed. Frandec Company manufactures, assembles, and rebuilds material-handling equipment used in warehouses and distribution centers. One product, called a Liftmaster, is assembled from four components: a frame, a motor, two supports, and a metal strap. Frandec's production schedule calls for 4,500 Liftmasters to be made next month. Frandec purchases the motors from an outside supplier, but the frames, supports, and straps may be either manufactured by the company or purchased from an outside supplier. Manufacturing and purchase costs per unit are shown. Component Manufacturing Cost Purchase Cost Frame $39.00 $52.00 Support $12.50 $16.00 Strap $7.50 $8.50 Three departments are involved in the production of these components. The time (in minutes per unit) required to process each component in each department and the available capacity (in hours) for the three departments are as follows. Component Department Cutting Milling…The Deeper Furniture makes two products: table and chairs, which must be processed through the assembly and finishing departments. Assembly department is available for 60 hours and in every production period, while the finishing department is available for 48 hours of work. Manufacturing one (1) table requires 4 hours in the assembly and 2 hours in the finishing. Each chair requires 2 hours in the assembly and 4 hours in the finishing. One table contributes P180 to profit, while a chair contributes P100. The problem is to determine the number of tables and chairs to make per production period in order to maximize the profit. Determine the following: A. Define the objective function, formulate the constraints, and graph the system.B. Determine and write the feasible comer points and corresponding profit and the optimal solution. OWN SOLUTIONS FOR UPVOTE. DO NOT USE AI OR ELSE DOWNVOTE.