49) A company produces two types of tables, T1 and T2. It takes 2 hours to produce the parts of one unit of T1, 1 hour to assemble and 2 hours to polish. It takes 4 hours to produce the parts of one unit of T2, 2.5 hour to assemble and 1.5 hours to polish. Per month, 7000 hours are available for producing the parts, 4000 hours for assembling the parts and 5500 hours for polishing the tables. The profit per unit of T1 is $90 and per unit of T2 is $110. (a) How many of each type of tables should be produced in order to maximize the total monthly profit? (b) Calculate the profit at the optimal point. (Use linear programming to solve this problem. Show all steps clearly and neatly)

49) A company produces two types of tables, T1 and T2. It takes 2 hours to produce the parts of one unit of T1, 1 hour to assemble and 2 hours to polish. It takes 4 hours to produce the parts of one unit of T2, 2.5 hour to assemble and 1.5 hours to polish. Per month, 7000 hours are available for producing the parts, 4000 hours for assembling the parts and 5500 hours for polishing the tables. The profit per unit of T1 is $90 and per unit of T2 is $110. (a) How many of each type of tables should be produced in order to maximize the total monthly profit? (b) Calculate the profit at the optimal point. (Use linear programming to solve this problem. Show all steps clearly and neatly)

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...

See similar textbooks

Similar questions

A machine makes two components; call them types A and B. It takes 250 seconds to switch production between the component types. During that time, no production occurs. When in production, each unit of A or B requires 0.5 second to be completed. The two components, A and B, are combined in an assembly process to make a final product; call it C. The assembly step can combine the two components into 1 unit every 2 seconds, or 30 units per minute. Assume there is ample demand. If the production schedule could be adjusted with the goal of minimizing inventory in the process, how many units of A should be produced before switching to component B? In other words, calculate the optimal batch size for component A. Assume the same number of units of B would be produced as well. answer:_______units
A #2 pencil (P) is made from a wood subassembly (WS), a band (B) to hold the eraser on and an eraser (E). The wood subassembly is made from 2 wood halves (WH) and a piece of lead (L), the wood halves are made from wood blanks (WB). (For this question we will ignore the need for glue and paint.) The lead times for each of these are given below Lead Time (Weeks) P 2 WS 4 B 6 E 2 WH 2 L 2 WB 1 If nothing is in inventory (that is, all on hand quantities are equal to zero), and it is now the beginning of period 20, then when is the earliest that we can promise to ship No. 2 pencils?
A machine makes two components; call them types A and B. It takes 250 seconds to switch production between the component types. During that time, no production occurs. When in production, each unit of A or B requires 0.5 second to be completed. The two components, A and B, are combined in an assembly process to make a final product; call it C. The assembly step can combine the two components into 1 unit every 2 seconds, or 30 units per minute. Assume there is ample demand. Suppose the machine rotates between one batch of 1,000 untis of A and 1,000 units of B. In that case, what is the capacity of the machine in component pairs per minute, where a component pair is one unit of A and one unit of B? answer: __________ component pair per minute
A machine makes two components; call them types A and B. It takes 250 seconds to switch production between the component types. During that time, no production occurs. When in production, each unit of A or B requires 0.5 second to be completed. The two components, A and B, are combined in an assembly process to make a final product; call it C. The assembly step can combine the two components into 1 unit every 2 seconds, or 30 units per minute. Assume there is ample demand. Suppose the machine rotates between one batch of 1,000 unties of A and 1,000 units of B. What is the utilization of the machine? answer: _____percent
39 The Svenson Furniture Company sells a popular coffee table that comes unassembled and includes three baskets to into the lower part of the assembled table. The percentage of good quality tables is 80%. It costs $32.00 to manufacture one table. Of the defective tables, 70% can be reworked at an additional cost of $9. If the company wants to yield 120 units per week, how many tables should they plan to build per week? Round to the nearest whole number to achieve this goal.
Sticky Manufacturing produces a variety of adhesive products. On one production line,the company fills one-quart containers with its Skin-Free™ adhesive, a glue that bonds woodand other substances together but does not adhere to human skin in any way.The process yield on the Skin-Free™ line is 92%. One-half pound of Chemical SKF is addedat the beginning of the process for every quart of Skin-Free™ started. The standard price forChemical SKF is $15.00 per pound.Calculate the standard quantity of Chemical SKF consumed for every good unit of output ofSkin-Free™. Then, calculate the standard cost of Chemical SKF in one good quart of Skin-Free™.
6. Product to produce is one of the factors to be considered in the production method A. True B. False
A worker walks 3 steps, bends over to pick up a heavy box (then arises again), walks 8 more steps and forcefully jams the box into a tight opening between other heavy boxes. A B G A B P A
1. How Cp and Cpk are conceptually different? 2. When is a process is defined as a capable process? (Which conditions need to be met)
Wellplace Insurance Company processes insurance policy applications in batches of 50. One day, they had ten batches to process and, after inspection, it was found that four batches had nonconforming policies. One batch had three nonconformances, another had five, another had two, and another had one nonconformance. a. What were the proportion nonconforming for each batch? b. What were the nonconformances per unit (NPU) in total for the ten batches?
A bicycle component manufacturer produces hubs for bike wheels. Two processes are possible for manufacturing, and the parameters of each process are as follows: Process 1 Process 2 35 parts/ hour 4 hours/ day 15 parts/hour 7 hours/day 20% 9% Production rate Daily production time Percent of parts rejeted based on visual inspection Assume that the daily demand for hubs allows all defect-free hubs to be sold. Additionally, tested or rejected hubs cannot be sold. Find the process that maximizes profit per day if each part is made from Php 200 worth of material and can be sold for Php 1,500. Both processes are fully automated, and variable overhead cost is charged at the rate of Php 2,000 per hour.
. A small, privately owned Asian company is producing a private-label soft drink calledYoggo. A bottling line puts the soft drinks into plastic bottles and then packagesthe bottles into boxes holding 10 bottles each. The bottling line is comprised of thefollowing four steps: (1) the bottling machine takes 1 second to fill a bottle, (2) the lidmachine takes 3 seconds to cover the bottle with a lid, (3) a labeling machine takes3 seconds per bottle, and (4) the packaging machine takes 4 seconds to place a bottleinto a box. When a box has been filled with 10 bottles, a worker tending the packagingmachine removes the filled box and replaces it with an empty box. Assume that thetime for the worker to remove a filled box and replace it with an empty box is negligibleand hence does not affect the capacity of the line. Problem data are summarized in thefollowing table. a. Draw a process flow diagram of this process. b. What is the capacity (bottles/hour) at the resource “Apply a lid”? c. What…