Please answer letter B and show your solution. 8:19 - O OAsynchronomus 1_Linear Programming.docxoptain a maximum saie ?Problem BClarita has an online shop where she sells hand-made paintings and cards. She sells the painting for $50 andthe card for $20. It takes her 2 hours to complete 1 painting and 45 minutes to make a single card. She also hasa day job and makes paintings and cards in her free time. She cannot spend more than 15 hours a week tomake paintings and cards. Additionally, she should make not more than 10 paintings and cards per week.She makes a profit of $25 on painting and $15 on each card. How many paintings and cards should she makeeach week to maximize her profit.Problem CAt the Institute, Professor- X wishes to employ two people, Juanito and Maria, to grade papers for his classes.Juanito is a graduate student and can grade 20 papers per hour; Juanito earns $15 per hour for grading papers.Maria is a post-doctoral associate and can grade 30 papers per hour; Maria earns $25 per hour for gradingpapers. Each must be employed at least one hour a week to justify their employment.If Prof-X has at least 110 papers to be graded each week, how many hours per week should he employ eachperson to minimize the cost?Problem DColonel Alexander Hamilton is on a low cholesterol diet. During lunch at the HQ cafeteria, he always choosesbetween two meals, Pasta or Tofu.The table below lists the amount of protein, carbohydrates, and vitamins each meal provides along with the

Here clarita can work for 15 hours a week only and she takes 2hour for 1 painting to complete and 45…

Answered: Problem B Clarita has an online shop…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

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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.
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At a small but growing airport, the local airline company is purchasing a new tractor for a tractor-trailer train to bring luggage to and from the airplanes. A new mechanized luggage system will be installed in 3 years, so the tractor will not be needed after that. However, because it will receive heavy use, so that the running and maintenance costs will increase rapidly as the tractor ages, it may still be more economical to replace the tractor after 1 or 2 years. The following table gives the total net discounted cost associated with purchasing a tractor (purchase price minus trade-in allowance, plus running and maintenance costs) at the end of year i and trading it in at the end of year j (where year O is now). i 012 1 $13,000 j 2 $28,000 $17,000 3 $48,000 $33,000 $20,000 The problem is to determine at what times (if any) the tractor should be replaced to minimize the total cost for the tractors over 3 years. (a) Formulate this problem as a minimum cost flow problem by showing the…
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A machine tool company conducts a job-training programme at a ratio of one for everyten trainees. The training programme lasts for one month. From past experience it has been found thatout of 10 trainees hired, only seven complete the programme successfully. (The unsuccessful traineesare released). Trained machinists are also needed for machining. The company's requirement for thenext three months is as follows:January: 100 machinists, February: 150 machinists and March: 200 machinists.In addition, the company requires 250 trained machinists by April. There are 130 trained machinistsavailable at the beginning of the year. Pay roll cost per month is:Each trainee Rs. 400/- per month.Each trained machinist (machining or teaching): Rs. 700/- p.m.Each trained machinist who is idle: Rs.500/- p.m.(Labour union forbids ousting trained machinists). Build a l.p.p. for produce the minimum costhiring and training schedule and meet the company’s requirement.
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Fopic 4- Linear Programming: Appli eBook Problem 9-05 (Algorithmic) Kilgore's Deli is a small delicatessen located near a major university. Kilgore's does a large walk-in carry-out lunch business. The deli offers two luncheon chili specials, Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes). The profit on one serving of Wimpy is $0.46, on one serving of Dial 911, $0.59. Each serving of Wimpy requires 0.26 pound of beef, 0.26 cup of onions, and 6 ounces of Kilgore's special sauce. Each serving of Dial 911 requires 0.26 pound of beef, 0.41 cup of onions, 3 ounces of Kilgore's special sauce, and 6 ounces of hot sauce. Today, Kilgore has 21 pounds of beef, 16 cups of onions, 89 ounces of Kilgore's special sauce, and 61 ounces of hot sauce on hand. a. Develop a linear programming model that will tell Kilgore how many servings of Wimpy and Dial 911 to make in order to maximize his profit today.…
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A company possesses two manufacturing plants, each of which can produce three products, X, Y, and Z, from a common raw material. However, the proportion in which the products are produced differs in each plant, and so are plant's operating costs per hour. Data on production per hour and costs are given below, together with current orders in hand of each product. Products Operating cost per hour Y Plant A 4 9. Plant B 4 2 10 Orders on hand 50 24 60 Formulate the above as a linear programming problem. Find the number of production hours needed to fulfill the orders on hand at minimum cost using the using Big M method.
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