Breadco Bakeries is a new bakery chain that sells bread to customers throughout the state of Indiana.Breadco is considering building bakeries in three locations: Evansville, Indianapolis, and South Bend.Each bakery can bake as many as 900,000 loaves of bread each year. The cost of building a bakery at eachsite is $5 million in Evansville, $4 million in Indianapolis, and $4.5 million in South Bend. To simplify theproblem, we assume that Breadco has only three customers, whose demands each year are 700,000 loaves(customer 1); 400,000 loaves (customer 2); and 300,000 loaves (customer 3). The total cost of baking andshipping a loaf of bread to a customer is given in Table 1.From ToEvansvilleIndianapolisSouth BendCustomer 1 Customer 216¢40¢45¢34¢30¢45¢Customer 326¢35¢23¢Table 1: Production & shipping costsAssume that future shipping and production costs are discounted at a rate of 11%per year. Assume thatonce built, a bakery lasts forever.1. Formulate an integer optimization model to minimize Breadco's total cost of meeting demand (presentand future). (Hint: You will need the fact that for x < 1, a + ax + ax² +ax³ + ... = a/(1-x).)2. Obtain an optimal solution to the problem using AMPL.3. How would you modify the formulation if either Evansville or South Bend must produce at least800,000 loaves per year?

Answered: Image /qna-images/answer/09efe1b8-049a-4900-ad8a-76c43dbeb770.jpg

Answered: Breadco Bakeries is a new bakery chain…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

The Donaldson Furniture Company produces three types of rocking chairs: the children's model, the standard model, and the executive model. Each chair is made in three stages: cutting, construction, and finishing. The time needed for each stage of each chair is given in the chart. During a specific week the company has available a maximum of 173 hours for cutting, 107 hours for construction, and 88 hours for finishing. Determine how many of each type of chair the company should make to be operating at full capacity. The number of executive chairs the company should make is ∞ Stage Cutting Construction Finishing Children's Standard 5 hr 4 hr 3 hr 2 hr 2 hr 2 hr Executive 7 hr 5 hr 4 hr
Consider the town of Acaford with a population of 5,000 people. There are 1,000 high school students, 1,000 undergraduate students, 1,000 graduate students, 1,000 economics professors, and 1,000 retired economists. Suppose that the total annual income in the economy is $100 million: Each high school student earns $6,000 annually; each undergraduate earns $10,000 annually; each graduate student earns $25,000 annually; each professor earns $55,000 annually; and each retiree earns $4,000 annually. The following chart shows the income distribution for the town of Acaford. 60 50 40 30 20 10 High SchoolUndergrads Grads Profs Retirees Suppose that the government sets the poverty line at an annual income of $18,000. The percentage of people with annual incomes below the poverty line in Acaford is 20%, 40%, 60% 80% Which of the following sequences correctly orders the people of Acaford from the bottom fifth to the top fifth of income distribution? SHARE OF TOTAL INCOME (Percent) 2)
1. If milk is $2.12 per half gallon, eggs are $0.85 per doz, flour is $1.95 for 5 lb, sugar is $2.05 for 5 lb and shortening is $3.35 for 3 lb, what would be the cost of the ingredients for the following cake recipe: 1pt (2 cup) milk, 4 eggs, 2 lb (4 cups) flour, 1 lb (2 cup) sugar, 1 lb shortening. If you mixed 8.0 tons of sand, 12 tons of rock, and 4.0 tons of cement to make concrete, what would the % by weight of sand be? If you have a mixture of 10 lb. sunflower seeds which cost 32¢ per pound and 16 lb. of cracked corn which cost 18¢ per pound, how much would this mixture cost per pound? Cenage Lening 2. 3.
"In State Y, which has a complex tax structure, the sales tax varies depending on the type of goods purchased. For electronics, the tax rate is 7%, while for clothing items, it's 5%. A customer, Emily, goes shopping and buys a laptop for $1200, a smartphone for $800, and a pair of jeans for $50. She also purchases a shirt for $30. Calculate the total amount Emily will pay including sales tax, considering the different tax rates for each item."
The town councils of Cambridge, Bridgwater and Bath each placed an order with a tree nursery. Cambridge ordered 4 lime trees, 20 plane trees and 12 rowan trees, and the total cost was £1296. Bridgwater ordered 10 lime trees, 6 plane trees and 32 rowan trees, and the total cost was £1746. Bath ordered 8 lime trees, 14 plane trees and 16 rowan trees, and the total cost was £1498.By modelling the problem as a system of three linear simultaneousequations, use matrices to find the cost per tree of each type of tree.
You are thinking of making your home more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs and insulating part or all of your exterior walls. Each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.† Your home has 80 light fittings and 1,500 square feet of uninsulated exterior wall. You can spend no more than $1,600 and would like to save as much per year in energy costs as possible. How many compact fluorescent light bulbs and how many square feet of insulation should you purchase? (If an answer does not exist, enter DNE.) compact fluorescent light bulbs bulbs insulation sq ft How much will you save in energy costs per year?
You are in charge of purchases at the student-run used-book supply program at your college, and you must decide how many introductory calculus, history, and marketing texts should be purchased from students for resale. Due to budget limitations, you cannot purchase more than 1050 of these textbooks each semester. There are also shelf-space limitations: Calculus texts occupy 2 units of shelf space each, history books 1 unit each, and marketing texts 5 units each, and you can spare at most 1,900 units of shelf space for the texts. If the used book program makes a profit of $10 on each calculus text, $4 on each history text, and $8 on each marketing text, how many of each type of text should you purchase to maximize profit? HINT [See Example 3.] calculus text(s) history text(s) marketing text(s) What is the maximum profit the program can make in a semester?
Trans Global Tractor Trailers has decided to spend up to $2,700,000 on a fleet of new trucks, and it is considering three models: the Gigahaul, which has a capacity of 6,000 cubic feet and is priced at $60,000; the Megahaul, with a capacity of 5,000 cubic feet, priced at $50,000; and the Picohaul, with a capacity of 2,000 cubic feet, priced at $40,000. The anticipated annual revenues are $500,000 for each new truck purchased (regardless of size). Trans Global would like a total capacity of up to 234,000 cubic feet and feels that it cannot provide drivers and maintenance for more than 54 trucks.How many of each should it purchase to maximize annual revenue? (Gigahaul, Megahaul, Picohaul) = trucks What is the largest possible revenue it can make? $
Hello Dolly, Inc. crafts three styles of dolls: Lexi, Maysy, and Dizzy. Each doll requires sewing time, painting time, and supplies. Sewing machines are available for only 118 hours, only 2805 hours are available for painting, and 390.5 lbs. of supplies are available. Each Lexi doll requires 0.2 hours of sewing, 9 hours of painting, and 0.7 lbs. of supplies. Each Maysy doll requires 0.4 hours of sewing, 10 hours of painting, and uses 0.9 pounds of supplies. Each Dizzy doll requires 0.5 hours of sewing, 7 hours of painting, and 2 pounds of supplies. If the company earns a profit of $145 per Lexi doll, $155 per Maysy doll, and $150 per Dizzy doll, how many of each doll should the company produce to maximize profit? How much profit will result? (Use for the number of Lexi dolls, y for the number of Maysy dolls, and z for the number of Dizzy dolls.) Maximize P = subject to ≤118 ≤2805 <390.5 Enter the solution to the simplex matrix below. If there is no solution enter 'DNE' in the boxes…
A company needs to build a new warehouse in the area at the Danish-German border. The company has been looking at two sites, one on each side of the border. The site on the Danish side of the border has an area of 4178 m2 at a price of DKK 115 per m2. On the German side, the site is 4025 m2 at a price of EURO 19 per m2. The company has received one offer for the construction in Denmark and one offer for the construction in Germany. The offer for the construction in Denmark is DKK 9495000. The offer for the construction in Germany is EURO 1495000. In the problem you can use an exchange rate of 7.45 DKK/EUR or you may use the actual exchange rate of the day. a) Determine the total price of the site and the construction on the Danish side as well as on the German side of the border. Write an explanation of 1-2 paragraphs In Germany the financing of the total price on the site and the construction can be done in the following way: 80% bank loan 20% own financing The bank loan has a…
A theater owner has to fill 1,000 seats in her largest theater. She can fit 2 children or 1 adult per seat. Based on this information, which combinations are on the budget constraint?
The County Theater is an independent entertainment theater that is in the middle of a new renovation to expand their current layout of two screens. With their current renovation plan, they hope to increase their screens to three. As of now, they are still in need of $14,000 to finish the construction project. Through market research completed on their members as well as the greater community, they estimated that each donator would give around $50. As the donations have been coming in over the course of the last 18 months, they believe that the research estimate may have been too high. They created a sample of members consisting of 40 individuals. On average, they are willing to give $40 and the standard deviation for the sample is $1.35. With an alpha of .05, construct an appropriate hypothesis test. If you find that the null hypothesis is not true, what real world circumstance may have affected the research estimate?

SEE MORE QUESTIONS

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS