HelpSaEnabled: Chapter 8 Non-Linear Programming E. OSevedA manufacturer of two products (Widgets and Gadgets) makes a profit of $180 for each widget sold and $180 for each gadget sold.However, production of these products generates hazardous waste charges at the rate of 3 (where Wis the number of Widgetsproduced) and 20 (where Gis the number of Gadgets produced). The manufacturer has ample supplies of all raw materials and cansell all the Widgets and Gadgets It produces. The firm has sufficient capacity to produce any realistic quantity of both products.What is the optimal quantity of each product to produce? (Round your answers to 1 decimal place.)Widgets andGadgetsWhat is the maximum profit the manufacturer can earn? (Round your answer to 2 decimal places.)Marmum proft

Small Introduction about Capacity Capacity is the greatest amount of production that a…

Answered: A manufacturer of two products (Widgets…

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...

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Chapter 6. Crypt-Me-Not Investments, Inc. is a new investment firm that deals exclusively with cryptocurrency investments. An investor wants to invest $100,000 in cryptocurrency next year and approaches them about investing in Solana (SOL) and Dogecoin (DOGE) which are currently selling at $175 and $1.00, respectively. The expected annual return on each unit of SOL is $180 and on each unit of DOGE is $100 and like everyone else, the investor wants to maximize their returns. The risk index associated with each unit of SOL is 1.6 and with each unit of DOGE is 1.8. Crypt-Me-Not recommends not crossing a total risk value of 5000 with the client’s investments. Moreover, since DOGE is substantially cheaper and less risky than SOL, the investor insists that a minimum of 1,000 units of DOGE in the portfolio is necessary. Based on these constraints, formulate a Linear Program and answer the following questions after solving it using Solver in Excel (Round up to the next whole number for first…
Chapter 9. TechConsult Projects Ltd provides technical services to various small businesses in the San Antonio area. They have four technicians available to schedule and Tech1 can work for 160 hours, Tech2 can work for 100 hours, Tech3 can work for 160 hours, and Tech4 can work for 120 hours in the next month. Four clients are seeking technical services from the company and Client 1 requires 120 hours, Client 2 requires 120 hours, Client 3 requires 140 hours and Client 4 requires 160 hours of technical support in the next month. The billing rates for the technicians are based on the type of work each client project requires and the skills they have. The rates in dollars per hour are as follows. Based on the E-clips example from the textbook, you can see that this is an assignment problem because the goal of TechConsult is to maximize their billing for the month. Create a network, a linear program, and find the optimal values of the hours that each technician should be assigned for each…
Case 11-A: Distribution at Hewlett-PackardEven well-managed organizations don’t always work as efficiently and effectively as management would like. At Hewlett-Packard (HP), billions of dollars of products—from computers and diagnostic devices to toner cartridges—are shipped each year. Customer orders come in twenty-four hours a day, 365 days a year. Nearly 16,000 different products are requested daily and must be shipped from six different warehouses—often located thirty or more miles apart. It often takes weeks to get the products into the customer’s hand. This is a serious problem with customers who have contracts with HP stating that deliveries are to be made in four hours or less. That means that from the time a customer calls the HP customer service line, they should have their replacement part and be back in operation within four hours—irrespective of where the customer is located! One characteristic that distinguishes an outstanding organization is its ability to know when…
Case 11-A: Distribution at Hewlett-PackardEven well-managed organizations don’t always work as efficiently and effectively as management would like. At Hewlett-Packard (HP), billions of dollars of products—from computers and diagnostic devices to toner cartridges—are shipped each year. Customer orders come in twenty-four hours a day, 365 days a year. Nearly 16,000 different products are requested daily and must be shipped from six different warehouses—often located thirty or more miles apart. It often takes weeks to get the products into the customer’s hand. This is a serious problem with customers who have contracts with HP stating that deliveries are to be made in four hours or less. That means that from the time a customer calls the HP customer service line, they should have their replacement part and be back in operation within four hours—irrespective of where the customer is located! One characteristic that distinguishes an outstanding organization is its ability to know when…
Case 11-A: Distribution at Hewlett-PackardEven well-managed organizations don’t always work as efficiently and effectively as management would like. At Hewlett-Packard (HP), billions of dollars of products—from computers and diagnostic devices to toner cartridges—are shipped each year. Customer orders come in twenty-four hours a day, 365 days a year. Nearly 16,000 different products are requested daily and must be shipped from six different warehouses—often located thirty or more miles apart. It often takes weeks to get the products into the customer’s hand. This is a serious problem with customers who have contracts with HP stating that deliveries are to be made in four hours or less. That means that from the time a customer calls the HP customer service line, they should have their replacement part and be back in operation within four hours—irrespective of where the customer is located! One characteristic that distinguishes an outstanding organization is its ability to know when…
Case 1: Western Chassis produces high-quality polished steel and aluminum sheeting and two lines ofindustrial chassis for the rack mounting of Internet routers, modems, and other telecommunicationsequipment. The contribution margin (contribution toward profit) for steel sheeting is $0.40 per poundand for aluminum sheeting is $0.60 per pound. Western earns $12 contribution on the sale of aStandard chassis rack and $15 contribution on a Deluxe chassis rack. During the next productioncycle, Western can buy and use up to 25,800 pounds of raw unfinished steel either in sheeting or inchassis. Similarly, 20,400 pounds of aluminum are available. One standard chassis rack requires 16pounds of steel and 8 pounds of aluminum. A Deluxe chassis rack requires 12 pounds of each metal.The output of metal sheeting is restricted only by the capacity of the polisher. For the next productioncycle, the polisher can handle any mix of the two metals up to 4,000 pounds of metal sheeting. Chassismanufacture…
Case 1: Western Chassis produces high-quality polished steel and aluminum sheeting and two lines ofindustrial chassis for the rack mounting of Internet routers, modems, and other telecommunicationsequipment. The contribution margin (contribution toward profit) for steel sheeting is $0.40 per poundand for aluminum sheeting is $0.60 per pound. Western earns $12 contribution on the sale of aStandard chassis rack and $15 contribution on a Deluxe chassis rack. During the next productioncycle, Western can buy and use up to 25,800 pounds of raw unfinished steel either in sheeting or inchassis. Similarly, 20,400 pounds of aluminum are available. One standard chassis rack requires 16pounds of steel and 8 pounds of aluminum. A Deluxe chassis rack requires 12 pounds of each metal.The output of metal sheeting is restricted only by the capacity of the polisher. For the next productioncycle, the polisher can handle any mix of the two metals up to 4,000 pounds of metal sheeting. Chassismanufacture…
Jane Smith, age 40, is single and has no dependents. She is employed as a legal secretary by Legal Services, Inc. She owns and operates Typing Services located near the campus of Florida Atlantic University at 1986 Campus Drive, Boca Raton, FL 33434. Jane is a material participant in the business. She is a cash basis taxpayer. Jane lives at 2020 Oakcrest Road, Boca Raton, FL 33431. Jane’s Social Security number is 123-45-6781. Jane indicates that she wants to designate $3 to the Presidential Election Campaign Fund. Jane had health insurance for all months of 2018. During 2018, Jane had the following income and expense items: $100,000 salary from Legal Services, Inc. $20,000 gross receipts from her typing services business. $700 interest income from Third National Bank. $1,000 Christmas bonus from Legal Services, Inc. $60,000 life insurance proceeds on the death of her sister. $5,000 check given to her by her wealthy aunt. $100 won in a bingo game. Expenses connected with the typing…
Chapter 9. TechConsult Projects Ltd provides technical services to various small businesses in the San Antonio area. They have four technicians available to schedule and Tech1 can work for 150 hours, Tech2 can work for 100 hours, Tech3 can work for 200 hours, and Tech4 can work for 100 hours in the next month. Four clients are seeking technical services from the company and Client 1 requires 120 hours, Client 2 requires 125 hours, Client 3 requires 140 hours and Client 4 requires 165 hours of technical support in the next month. The billing rates for the technicians are based on the type of work each client project requires and the skills they have. The rates in dollars per hour are as follows. Based on the E-clips example from the textbook, you can see that this is an assignment problem because the goal of TechConsult is to maximize their billing for the month. Create a network, a linear program, and find the optimal values of the hours that each technician should be assigned for each…
Chapter 9. TechConsult Projects Ltd provides technical services to various small businesses in the San Antonio area. They have four technicians available to schedule and Tech1 can work for 150 hours, Tech2 can work for 100 hours, Tech3 can work for 200 hours, and Tech4 can work for 100 hours in the next month. Four clients are seeking technical services from the company and Client 1 requires 120 hours, Client 2 requires 125 hours, Client 3 requires 140 hours and Client 4 requires 165 hours of technical support in the next month. The billing rates for the technicians are based on the type of work each client project requires and the skills they have. The rates in dollars per hour are as follows. Based on the E-clips example from the textbook, you can see that this is an assignment problem because the goal of TechConsult is to maximize their billing for the month. Create a network, a linear program, and find the optimal values of the hours that each technician should be assigned for each…
Bryan was recently hired by a large X Chemical company, to oversee the construction of production facilitiesto produce a new product. X Chemical developed a new industrial lubricant which it felt could be producedat a price close to those of its competitors. The plant to manufacture the lubricant was built on land adjacentto the East River. X Chemical had already applied for and received the necessary permit that allows thecompany to dump waste materials in to the river. Several other chemical plants in the near vicinity are alsoreleasing their waste materials into the river.Bryan is concerned because the government agency which oversees the permit process has granted XChemical a permit to release more waste in the river than previously anticipated. An additional stage in theproduction process which would have reduced the waste and recycled some materials became unnecessarydue to the regulatory agency's decision. Because the additional process would have added capital andproduction…
Dr. Doyle E. Campbell, an ophthalmologist, established his practice in southern Ohio in 1971. Many of Dr. Campbell’s patients are elderly people who qualify for federal Medicare benefits and state Medicaid benefits. Under the existing financing system, a doctor who treats a Medicare patient is required to submit a “Medicare Health Insurance Claim Form” (HCFA Form 1500). The doctor is required to certify that “the services shown on this form were medically indicated and necessary for the health of the patient and were personally rendered by me or were rendered incident to my professional service by my employees.” Claims Dr. Campbell submitted for his elderly patients ranged from $900 to $950, of which $530 to $680 were covered by the Medicare program. The government alleged that Dr. Campbell billed Medicare for several treatments that were either not performed or not necessary. 1 - Provide a paragraph with more than five sentences (i.e., in the section for “Purport”) that interprets the…

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