The GEM maker of jewelry makes two bracelet designs, heart design and flower design. The bracelets are made of gold and platinum. The store has 28 ounces of gold and 20 ounces of platinum. Each heart design bracelet requires 3 ounces of gold and 2.5 ounces of platinum and makes a profit of P2500, while each flower design bracelet requires 4.5 ounces of gold and 3 ounces of platinum and makes a profit of P3400. How many heart design bracelets and flower design bracelets should be produced to maximize the profit? Decision variables Tabulation Objective function and constraints Graph and solution Optimum solution Decision

The GEM maker of jewelry makes two bracelet designs, heart design and flower design. The bracelets are made of gold and platinum. The store has 28 ounces of gold and 20 ounces of platinum. Each heart design bracelet requires 3 ounces of gold and 2.5 ounces of platinum and makes a profit of P2500, while each flower design bracelet requires 4.5 ounces of gold and 3 ounces of platinum and makes a profit of P3400. How many heart design bracelets and flower design bracelets should be produced to maximize the profit? Decision variables Tabulation Objective function and constraints Graph and solution Optimum solution Decision

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section: Chapter Questions

Problem 68P

See similar textbooks

Similar questions

The Tinkan Company produces one-pound cans for the Canadian salmon industry. Each year the salmon spawn during a 24-hour period and must be canned immediately. Tinkan has the following agreement with the salmon industry. The company can deliver as many cans as it chooses. Then the salmon are caught. For each can by which Tinkan falls short of the salmon industrys needs, the company pays the industry a 2 penalty. Cans cost Tinkan 1 to produce and are sold by Tinkan for 2 per can. If any cans are left over, they are returned to Tinkan and the company reimburses the industry 2 for each extra can. These extra cans are put in storage for next year. Each year a can is held in storage, a carrying cost equal to 20% of the cans production cost is incurred. It is well known that the number of salmon harvested during a year is strongly related to the number of salmon harvested the previous year. In fact, using past data, Tinkan estimates that the harvest size in year t, Ht (measured in the number of cans required), is related to the harvest size in the previous year, Ht1, by the equation Ht = Ht1et where et is normally distributed with mean 1.02 and standard deviation 0.10. Tinkan plans to use the following production strategy. For some value of x, it produces enough cans at the beginning of year t to bring its inventory up to x+Ht, where Ht is the predicted harvest size in year t. Then it delivers these cans to the salmon industry. For example, if it uses x = 100,000, the predicted harvest size is 500,000 cans, and 80,000 cans are already in inventory, then Tinkan produces and delivers 520,000 cans. Given that the harvest size for the previous year was 550,000 cans, use simulation to help Tinkan develop a production strategy that maximizes its expected profit over the next 20 years. Assume that the company begins year 1 with an initial inventory of 300,000 cans.
Mary is a sales person for Challenge Furniture. She receives an incremental commission based on the table below. If she sells $26,000 and has already received a draw of $766.15, how much commission is still owed to Mary? level 1 1-11,700 3.7% sales volume 2 11,701-21,200 4.3% commission rate 3 over 21,200 4.7%
Assuming your company is producing Apple and Samsung phone cases. It is required to process in the assembly and paint shops to make either phone case. It takes 1/60 of a day and 1/40 of a day to paint an Apple case and a Samsung case in the paint shop, respectively. It takes 1/50 of a day to assemble either type of case in the assembly shop. An Apple phone case and a Samsung phone case yield profits of $300 and $220, respectively, per case sold. What is a maximum-profit daily production plan for your company?
Alice, Wonder, and Land are freshmen under the marketing management program. Every month, they purchase a piece of Panda ballpen. The price of the ball pen is Php9.50.According to a recent survey, 45% of the marketing freshmen have the samepurchasing behavior as Alice, Wonder, and Land. Another 30% also purchase Panda ballpens regularly at the same price; however, they purchase once every 2 weeks. There are approximately 280 freshmen under the marketing management program. Assuming that the behavior is consistent throughout their 4-year stay in the program, what is the approximate projected revenue that can be generated from the marketing freshmen for the entire duration of their stay in the program?
Monica Britt has enjoyed sailing small boats since she was 7 years old, when her mother started sailing with her. Today, Monica is considering the possibility of starting a company to produce small sailboats for the recreational market. Unlike other mass-produced sailboats, however, these boats will be made specifically for children between the ages of 10 and 15. The boats will be of the highest quality and extremely stable, and the sail size will be reduced to prevent problems of capsizing. Her basic decision is whether to build a large manufacturing facility, a small manufacturing facility, or no facility at all. With a favourable market, Monica can expect to make R90,000 from the large facility or R60,000 from the smaller facility. If the market is unfavourable, however, Monica estimates that she would lose R30,000 with a large facility and she would lose only R20,000 with the small facility. Because of the expense involved in developing the initial moulds and acquiring the…
Monica Britt has enjoyed sailing small boats since she was 7 years old, when her mother started sailing with her. Today, Monica is considering the possibility of starting a company to produce small sailboats for the recreational market. Unlike other mass-produced sailboats, however, these boats will be made specifically for children between the ages of 10 and 15. The boats will be of the highest quality and extremely stable, and the sail size will be reduced to prevent problems of capsizing. Her basic decision is whether to build a large manufacturing facility, a small manufacturing facility, or no facility at all. With a favourable market, Monica can expect to make R90,000 from the large facility or R60,000 from the smaller facility. If the market is unfavourable, however, Monica estimates that she would lose R30,000 with a large facility and she would lose only R20,000 with the small facility. Because of the expense involved in developing the initial moulds and acquiring the…
Method of Least Squares, Goodness of Fit Deepa Dalal opened a free-standing radiology clinic. She had anticipated that the costs for the radiological tests would be primarily fixed, but she found that costs increased with the number of tests performed. Costs for this service over the past nine months are as follows: Month Radiology Tests Total Cost January 2,800 $133,500 February 2,600 135,060 March 3,100 175,000 April 3,500 170,600 May 3,400 176,900 June 3,700 186,600 July 3,840 174,450 August 4,100 195,510 September 3,450 185,300 Required: 1. Compute the cost formula for radiology services using the method of least squares. If required, round your answers to two decimal places. Y = + X 2. Using the formula computed in Requirement 1, what is the predicted cost of radiology services for October for 3,500 appointments? (Round the answer to the nearest dollar.)
Company X manufactures four different types of toys for kids including cars, bikes, plane and ship. The gross margin, production, and profit are listed below for each items are shown below: Product Gross margin/unit Minutes/unit Gross margin/minute Maximum production 280000 112000 Profit Car Bike Plane Ship 0.3 1.3 0.75 1.2 1 2.5 1.5 2 0.30 0.52 0.50 0.60 18667 140000 84000 145600 14000 168000 Let the production capacity of the machine used for production is 4500 hours per year. Which of the following would be the minimum value of gross margin per minute of ship that would make it economical for production? (A)0.65 (B) 0.70 (C) 0.87 (D) Can't be determined
Radiant wants to hire Cargo planes for transporting their goods. They contacted VIP Transportation Company to hire Cargo planes. VIP informed that they can provide two types of Cargo Planes. In addition, they provided the following cost related information about the two types Cargo planes- WT88 and BH54: Personnel Cost Fuel Cost Maintenance Cost WT88 2000 1000 2000 BH54 2500 1500 1000 Radiant has $200,000 to spend in personnel cost, $160,000 in fuel cost, and $80,000 in maintenance cost. Moreover, they have to hire at least two of each type of planes. If WT88 can carry 55 tons of goods and BH54 can carry 85 tons of goods, then find out the following using Linear Programming: What is the maximum amount Radiant can carry given their budget constraint? Can you solve using solver ? (I did this but I got a wrong answer) Data Personnel Cost Fuel Cost Maintenance Cost Tons WT88 2000 1000 2000 55…
A dietitian has been asked by the athletic director to develop a snack that athletes can use in their training programs. The dietitian intends to mix two seperate products to make the snack. The following information (on the table below): Product A costs Php20 per ounce, while Product B costs Php10 per ounce. Determine the optimal quantities of each product that will give the minimized cost.
A Las Vegas, Nevada, manufacturer has the option to make or buy one of its component parts. The annual requirement is 20,000 units. A supplier is able to supply the parts for $10 per piece. The firm estimates that it costs $600 to prepare the contract with the supplier. To make the parts in-house, the firm must invest $50,000 in capital equipment, and the firm estimates that it costs $8 per piece to make the parts in-house. Assuming that cost is the only criterion, use breakeven analysis to determine whether the firm should make or buy the item. 1. What is the breakeven quantity? 2. Should the manufacturer Make or Buy? 3. What is the cost savings using your decision in number 2 (above)? Show the total cost for each scenario then the savings amount.
Sapphire Farm is a business that trains and boards horses and educates young riders about horse care, nutrition, a product focusand riding. The farm provides both a learning and a fun environment for young equestrians and their families. It also hosts horse shows for beginning riders to help them build confidence in the show ring and to prepare them for local horse shows by running shows in accordance with the rules and regulations of the National Hunter Jumper Association. Feedback from the horseshow judges are provided to all riders so they can do better at their next meet. In addition, all warm-up and training areas are fenced and monitored by adults for the children's safety.According to the service-profit chain, the high-value service offered by Sapphire Farm LLC should lead to: A. congruent market response B. positive framing C. customer autonomy D. customer satisfaction E. a product focus