A factory makes scooters and bicycles. In the manufacturing process, two machines areused, the lathe, and the assembler. The lathe uses two hours for each scooter and ninehours for each bicycle. The assembler uses four hours for each scooter and three hours foreach bicycle. There are 36 hours available on the lathe and 42 hours available on theassembler. Each bicycle gives a profit of $6 and each scooter gives a profit of $8.The aim is to determine the number of scooters and bicycles the factory should make inorder to maximise profit.Formulate a linear programming model for this problem.b. Draw a neat sketch of the feasible region.c. Use your sketch to determine how many of each product should be produced tomaximise profit and include a brief concluding sentence summarising your findings.The numbers of units are not required to be integers.d. Perform a sensitivity analysis to determine the range each profit per unit can takewithout affecting the solution from (c).

Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Answered: a. Formulate a linear programming model…

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

d) A company can produce three products A, B and C. the products yield a contribution of Kshs.8, 5 and 10 respectively. The products use a machine which has 400 hours capacity. Each unit of the product uses 2, 3 and 1 hour respectively of the machines capacity. There are only 150 units available in the period of a special component which is used singly in product A and C. Only 200kgs of a special alloy is available in the period. The usage of special alloy is 2kgs per unit and 4kgs per unit respectively. There is an agreement with a trade association to produce no more than 50 units of product B in the period. Advise the company on the production plan that will maximize contribution.
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
Average Cost Company A has 50% of its total variable manufacturing cost in labor and the other50% in fuel. Company B has 80% of its total variable manufacturing cost in labor and the remainderin fuel. Suppose in a given year labor costs rise 5% and fuel costs rise 10%.Required Which company has the higher percentage increase in total variable cost?
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.
30) XYZ Company The XYZ Company uses 175 handles per day. The company operates 300 days per year. It costs $2.00 to carry one handle in inventory for one year. When handle inventory is low, an order is sent to the fabrication department to manufacture more handles. Fabrication can produce handles at a rate of 1500 per day and send the handles over to assembly while production is in progress. The setup for each production run costs $500. Assume the XYZ company orders 9,000 handles at a time (not necessarily the economic order quantity). The order receipt period = _____ days. Group of answer choices a) 6.0 b) 5.8 c) 30.0 d) 51.4 e) 50.0
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…
A company manufactures hair dryers. It buys some of the components, but it makes the heatingelement, which it can produce at the rate of 800 per day. Hair dryers are assembled daily, 250 daysa year, at a rate of 300 per day. Because of the disparity between the production and usage rates,the heating elements are periodically produced in batches of 2,000 units.a. Approximately how many batches of heating elements are produced annually?b. If production on a batch begins when there is no inventory of heating elements on hand, howmuch inventory will be on hand two days later?c. What is the average inventory of elements, assuming each production cycle begins when thereare none on hand?d. The same equipment that is used to make the heating elements could also be used to makea component for another of the firm’s products. That job would require four days, includingsetup. Setup time for making a batch of the heating elements is a half day. Is there enough timeto do this job between production…
Suppose that low-skilled workers employed in clearing woodland can each clear one acre per month if each is equipped with a shovel, a machete, and a chainsaw. Clearing one acre brings in $1,400 in revenue. Each worker's equipment costs the worker's employer $255 per month to rent and each worker toils 40 hours per week for 4 weeks each month. Instructions: In part a, enter your answer as a whole number. In parts b-e, round your answers to 2 decimal places. If you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers. a. What is the marginal revenue product of hiring one low-skilled worker to clear woodland for one month? $ b. How much revenue per hour does each worker bring in? c. If the minimum wage is $13.65, by how much will the revenue per hour in part b differ from the minimum wage? 2$ d. Consider the employer's total costs, which include the equipment costs as well as a normal profit of $50 per acre. If the firm pays workers the…
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
A company manufactures hair dryers. It buys some of the components, but it makes the heatingelement, which it can produce at the rate of 800 per day. Hair dryers are assembled daily, 250 daysa year, at a rate of 300 per day. Because of the disparity between the production and usage rates,the heating elements are periodically produced in batches of 2,000 units.a. Approximately how many batches of heating elements are produced annually?

SEE MORE QUESTIONS

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Operations Management

ISBN:

9781259667473

Author:

William J Stevenson

Publisher:

McGraw-Hill Education

Operations and Supply Chain Management (Mcgraw-hi…

Operations Management

ISBN:

9781259666100

Author:

F. Robert Jacobs, Richard B Chase

Publisher:

McGraw-Hill Education

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Operations Management

ISBN:

9781259667473

Author:

William J Stevenson

Publisher:

McGraw-Hill Education

Operations and Supply Chain Management (Mcgraw-hi…

Operations Management

ISBN:

9781259666100

Author:

F. Robert Jacobs, Richard B Chase

Publisher:

McGraw-Hill Education

Business in Action

Operations Management

ISBN:

9780135198100

Author:

BOVEE

Publisher:

PEARSON CO

Purchasing and Supply Chain Management

Operations Management

ISBN:

9781285869681

Author:

Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson

Publisher:

Cengage Learning

Production and Operations Analysis, Seventh Editi…

Operations Management

ISBN:

9781478623069

Author:

Steven Nahmias, Tava Lennon Olsen

Publisher:

Waveland Press, Inc.

SEE MORE TEXTBOOKS