# Homework – Week 3

Paper, Order, or Assignment Requirements

Homework – Week 3
Linear and Nonlinear Programing Models
Instruction.
Please create a single Excel file with 2(or 3) worksheets – each problem should be on a separate worksheet (tab).
Problem 1. Problem 4.45 (a) (p. 196) – No template is provided.
A bus company believes that it will need the following numbers of bus drivers during each of the next five years: 60 drivers in year 4; 75 drivers in year 5. At the beginning of each year, the bus company must decide how many drivers to hire or fire. It costs \$4000 to hire a driver and \$2000 to fire a driver. A driver’s salary is \$10,000 per year. At the beginning of year 1, the company has 50 drivers. A driver hired at the beginning of a year can be used to meet current year’s requirements and is paid full salary for the current year. (A) Determine how to minimize the bus company’s salary, hiring, and firing costs over the next five years.
Problem 2. Problem 4.78(a) – p. 201. The required input data is provided in the template below. An oil company produces gasoline from five inputs. The cost, density, viscosity, and sulfur content, and the number of barrels available of each input are listed in the file. Gasoline sells for \$72 per barrel. Gasoline can have a density of at most 0.98 units per barrel. A viscosity of at most 37 units per barrel, and a sulfur content of at most 3.7 units per barrel. (A) How can the company maximize its profit?

Problem 4.78(a) – p. 201

Selling price per barrel

Input
Cost
Density
Viscosity
Sulfur

Light gas oil
\$69.50
0.83
40
1.0

Heavy gas oil
\$66.70
0.88
26
2.2

Waxy distillate
\$56.40
0.92
30
2.8

Atmospheric residue
\$16.50
0.97
65
4.1

Vacuum residue
\$10.40
1.50
48
5.0

Upper limits

Blending plan (1000s of barrels)

Input
Input used

Available

Light gas oil

<= 20 Heavy gas oil <= 30 Waxy distillate <= 20 Atmospheric residue <= 20 Vacuum residue <= 30 Constraints Density Viscosity Sulfur Actual <= <= <= Maximum Profit            Problem 3. (Problem 7.45 (a), p. 414) Suppose Ford currently sells 250,000 Ford Mustangs annually. The unit cost of a Mustang, including the delivery cost to a dealer, is \$16,000. The current Mustang price is \$20,000, and the current elasticity of demand for the Mustang is     -1.5. (A). Determine a profit-maximizing price for a Mustang, Do this when the demand function is of the constant elasticity type. Do it when the demand function is linear. Do it only for the linear demand function. Use DataTable to calculate profits for specified prices and highlight the best profit Generate a scatter diagram based on the table created in (b) Problem 7.45 (a) – p. 414 – Pricing a Mustang Current demand 250000 Current price \$20,000 Unit cost \$16,000 Current elasticity -1.5 Part (a): linear demand a b New price New demand Profit Price Profit \$21,000.00 \$21,500.00 \$22,000.00 \$22,500.00 \$23,000.00 \$23,500.00 \$24,000.00 \$24,500.00 \$25,000.00 \$25,500.00 \$26,000.00 \$26,500.00 \$27,000.00 \$27,500.00 \$28,000.00 \$28,500.00   Problem 4 (Optional bonus problem). The required input data is provided in the template below. 7 bonus points will be added to your HW3 grade if your submitted solution is completely correct (i.e., there will be no partial credits for the bonus problem). Aluminaca produces 100-foot-long, 200-foot-long, and 300-foot-long ingots for customers. This week’s demand for ingots is listed in the file. Aluminaca has four furnaces in which ingots can be produced. During one week, each furnace can be operated for 50 hours. Because ingots are produced by cutting up long strips for aluminum, longer ingots take less time to produce than shorter ingots. If a furnace is devoted completely to producing one type of ingot, the number it can produce in one week is listed in the same file. For example, furnace 1 could produce 350 300-foot ingots per week. The material in an ingot costs \$10 per foot. A customer who wants 100-foot or 200-foot ingot will accept an ingot of that length or longer. How can Aluminaca minimize the material costs incurred in meeting required weekly demands? Problem 4.101. (p. 205)- Ingot production at Aluminaca Production data (maximum production if furnaces are devoted entirely to a particular ingot length) Furnace 100-foot 200-foot 300-foot 1 230 340 350 2 230 260 280 3 240 300 310 4 200 280 300 Cost per foot Decisions (how many hours on each furnace to devote to each ingot length) Furnace 100-foot 200-foot 300-foot Sum Available 1 <= 2 <= 3 <= 4 <= Ingots produced Furnace 100-foot 200-foot 300-foot 1 2 3 4 Total Demand constraints 100-foot 200-foot 300-foot Available >=
>=
>=

Demand
700
300
150

Total cost

# Our Service Charter

1. ### Excellent Quality / 100% Plagiarism-Free

We employ a number of measures to ensure top quality essays. The papers go through a system of quality control prior to delivery. We run plagiarism checks on each paper to ensure that they will be 100% plagiarism-free. So, only clean copies hit customers’ emails. We also never resell the papers completed by our writers. So, once it is checked using a plagiarism checker, the paper will be unique. Speaking of the academic writing standards, we will stick to the assignment brief given by the customer and assign the perfect writer. By saying “the perfect writer” we mean the one having an academic degree in the customer’s study field and positive feedback from other customers.
2. ### Free Revisions

We keep the quality bar of all papers high. But in case you need some extra brilliance to the paper, here’s what to do. First of all, you can choose a top writer. It means that we will assign an expert with a degree in your subject. And secondly, you can rely on our editing services. Our editors will revise your papers, checking whether or not they comply with high standards of academic writing. In addition, editing entails adjusting content if it’s off the topic, adding more sources, refining the language style, and making sure the referencing style is followed.
3. ### Confidentiality / 100% No Disclosure

We make sure that clients’ personal data remains confidential and is not exploited for any purposes beyond those related to our services. We only ask you to provide us with the information that is required to produce the paper according to your writing needs. Please note that the payment info is protected as well. Feel free to refer to the support team for more information about our payment methods. The fact that you used our service is kept secret due to the advanced security standards. So, you can be sure that no one will find out that you got a paper from our writing service.
4. ### Money Back Guarantee

If the writer doesn’t address all the questions on your assignment brief or the delivered paper appears to be off the topic, you can ask for a refund. Or, if it is applicable, you can opt in for free revision within 14-30 days, depending on your paper’s length. The revision or refund request should be sent within 14 days after delivery. The customer gets 100% money-back in case they haven't downloaded the paper. All approved refunds will be returned to the customer’s credit card or Bonus Balance in a form of store credit. Take a note that we will send an extra compensation if the customers goes with a store credit.

We have a support team working 24/7 ready to give your issue concerning the order their immediate attention. If you have any questions about the ordering process, communication with the writer, payment options, feel free to join live chat. Be sure to get a fast response. They can also give you the exact price quote, taking into account the timing, desired academic level of the paper, and the number of pages.

Excellent Quality
Zero Plagiarism
Expert Writers

or