Answered: a. How many air conditioners should be…

a. How many air conditioners should be produced to get the maximized profit? b. How many fans should be produced to get the maximized profit? c. How much is the maximized profit?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter3: Introduction To Optimization Modeling

Section: Chapter Questions

Problem 1C

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An assembly line requires two components: gadjits and widjits. Gadjits are produced by center 1 and widjits are produced by center 2. Each unit of the end item, called a jit-together, requires 3 gadjits and 2 widjits. The daily production quota on the assembly line is 750 jit-togethers. The container for gadjits holds 70 units. The policy variable for center 1 is set at 0.03. The average waiting time for a container of gadjits is 0.08 day, and 0.05 day is needed to produce a container. The container for widjits holds 60 units, and the policy variable for center 2 is 0.09. The average waiting time per container of widjits is 0.16 day, and the time required to process a container is 0.26 day. a. How many containers are needed for gadjits? 5 containers. (Enter your response rounded up to the next whole number.) b. How many containers are needed for widjits? containers. (Enter your response rounded up to the next whole number.)
An assembly line requires two components: gadjits and widjits. Gadjits are produced by center 1 and widjits are produced by center 2. Each unit of the end item, called a jit-together, requires 3 gadjits and 2 widjits. The daily production quota on the assembly line is 750 jit-togethers. The container for gadjits holds 70 units. The policy variable for center 1 is set at 0.03. The average waiting time for container of gadjits is 0.08 day, and 0.05 day is needed to produce a container. The container for widjits holds 60 units, and the policy variable for center 2 is 0.09. The average waiting time per container of widjits is 0.16 day, and the time required to process a container is 0.26 day. a. How many containers are needed for gadjits? containers. (Enter your response rounded up to the next whole number.)
LENILOVESBATO Co. produces various types of floor rugs with many different designs. They typically produce at least 200 rugs with a single machine setup. A cost incurred each time a new rug design is developed is called a(n) a. Unit-level cost b. Batch-level cost c. Product-level cost d. Facility-level cost
JCL Inc. is a major chip manufacturing firm that sells its products to computer manufacturers like Dell, HP, and others. In simplified terms, chip making at JCL Inc. involves three basic operations: depositing, patterning, and etching. Depositing: Using chemical vapor deposition (CVD) technology, an insulating material is deposited on the wafer surface, forming a thin layer of solid material on the chip. Patterning: Photolithography projects a microscopic circuit pattern on the wafer surface, which has a light-sensitive chemical like the emulsion on photographic film. It is repeated many times as each layer of the chip is built. Etching: Etching removes selected material from the chip surface to create the device structures. The following table lists the required processing times and setup times at each of the steps. Assume that the unit of production is a wafer, from which individual chips are cut at a later stage. Note: A setup can only begin once the batch has arrived at the…
JCL Inc. is a major chip manufacturing firm that sells its products to computer manufacturers like Dell, Gateway, and others. In simplified terms, chip making at JCL Inc. involves three basic operations: depositing, patterning, and etching. Depositing: Using chemical vapor deposition (CVD) technology, an insulating material is deposited on the wafer surface, forming a thin layer of solid material on the chip. Patterning: Photolithography projects a microscopic circuit pattern on the wafer surface, which has a light-sensitive chemical like the emulsion on photographic film. It is repeated many times as each layer of the chip is built. Etching: Etching removes selected material from the chip surface to create the device structures. The table below lists the required processing times and setup times at each of the steps. There is unlimited space for buffer inventory between these steps. Assume that the unit of production is a wafer, from which individual chips are cut at a later…
An order for 1000 units of Product M has been placed. There are currently 100 units of Product M on hand. Each M requires 4 units of Component N. There are 20 units of N on hand. What are the net requirements for N? O 3580 400 1850 1580 500
. A commercial orchard grows, picks, and packs apples and pears. A peck (quarter bushel) of apples takes 4 minutes to pick and 5 minutes to pack; a peck of pears takes 5 minutes to pick and 4 minutes to pack. Only one picker and one packer are available. How many pecks each of apples and pears should be picked and packet every hour (60 minutes) if the profit is $3/peck for apples and $2/peck for pears? Solve graphically as a linear program and confirm analytically.
In order to produce 1000 units of X in a week  units X is scheduled weekly for Operation B (due to 5% scrap ratio)  units X is scheduled weekly for Operation A (due to 2% scrap ratio) Based on your answer in part a, find the number of machines required to produce 1000 units of X per week.  The total time required to perform Operation B = minutes per week  The total time required to perform Operation A = minutes per week H= Available Time in a week = minutes /week Thus FA = . FB = . Since both of the operations A and B are performed on the same machine  machines are required
P1 P4 P2 P3 P5 P5 P5 P6 ... P1 has a production rate of 15 units/hour, P2 = 30 units/hour, P3 = 10 units per hour, P4 = 4 units/hour, P5 = 1 unit(s) per hour for each P5 and P6 = 6 units per hour. Operation P4 occurs seperately from and simultaneously with operations P1-P3. Operation P5 has three parallel and identical lines; therefore, each part only needs to go through one of the three lines. Consider the following two independent improvements: Improvement 1: Change station P4 into two connected stations (P4-1 and P4-2, connected in series) that have process times of 4 min/unit and 6 min/unit respectively. Improvement 2: Add two additional P5 stations to give you 5 parallel and identical lines. Improvement 2 increases capacity because it improves the bottleneck. The new bottleneck is station P4 since the original bottleneck has a process time of The new yearly capacity would be units per year. a) Which of the two improvements will provide the largest increase in capacity? What is the…
List the system of inequalities which describe B in the graph below.ECON1003 Mathematics for Social Sciences Unit 3_Version 1 Page 33 6. Anya’s Jeans has production process organized in threedistinct stages: cutting; sewing and finishing. She produces threetypes of jeans, namely peddle-pushers, hipsters and low cuts. Thenumber of minutes each type requires in each production processin shown below.Type Cutting Sewing FinishingPeddle-Pusher 4 6 2Hipster 6 7 4Low Rider 9 3 6On average, there are 6400 minutes of cutting time, 3500 minutes ofsewing time and 2400 minutes of finishing time each day. Given thatthe company makes $10 profit on each peddle-pusher $ 50 on eachhipster and $60 on each low cut and that the company sells all thejeans made. List the system of inequalities for the cutting, sewingand finishing constraints.
In a large microelectronics plant, the assembly cell for circuit boards has a demand for 250 units an hour. Two feeder cells supply parts A and B to the assembly cell (one A and one B for each board). Standard containers that look like divided trays are used. A container will hold 24 As or 10 Bs. It takes 10 minutes to fill up a container with As and 24 minutes to fill up a container with Bs. Transit time to the assembly cell is 5 minutes for both A and B. No safety factor is used. Set up a kanban control system for the assembly process.
Lisa makes two sorts of jewelry- Type A and Type B. Type A requires 90 minutes of curving and 1hours of assembly time. On the other hand, Type B requires 45 minutes of curving and 2 hours of assembly time. Lisa can sell Type A for $12 and Type B for $55. Given that Lisa has only 1000 hours of curving 500 hours of assembly time. How many of each type of Jewelry Lisa should make to maximize revenue? Keep in mind that Type A jewelry has to be at least twice the number of Type B jewelry. (Possible Answer: $9875) (Suggestion: Convert all the hours to minutes so that you do not end up mixing hours and minutes) CAN YOU DO THIS QUESTION IN THIS TEMPLATE ? Data Curving Assembly Price A 1.5 1 $ 12.00 B 0.75 2 $ 55.00 Model Decision Variables A 0 X B 0 Y…