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# Optimization

### Profit Maximization Costs

The cost of producing X units of a certain commodity is C(X) = 3X^2 +6x +9 Dollars. If the price is p(x) = (45-x) dollars per unit, determine the level of production that maximizes profit. a) x=1 b)x=2 c)x=3 d)x=5

### Quantitative methods for business linear programming

An example of how quantitative methods is used in real life example in a business for example how you would use your knowledge in linear programming and other aspects of quantitative methods to help your business.

### Absolute Extrema

Identify the absolute extrema of the function and the x-values where they occur. f(x) = 2x + (27/x^2) + 3; x > 0 The abs min is ____ and occurs at x= ____ OR NO SOLUTION The abs max is ____ and occurs at x= ____ OR NO SOLUTION

### Optimization

Amtrak is trying to decide whether or not to overbook the first class cabins on its most popular daily commuter routes from DC to NY. In doing so, Amtrak is seeking to get the most from its business customers. The operations department have done some preliminary research and have determined the following: On average, the f

### Minimum and maximum values of the objective function

Sketch the region determined by the given constraints. Then find the minimum and maximum values of the objective function and where they occur, subject to the given constraints. Constraints: y<= -3x+6, y <= -x+3, y>=0, x>=0 and the objective function is z=2x-3y.

### Forecast

Question 1. Data collected on the yearly demand for 50-pound bags of fertilizer at Wallace Garden Supply are shown in the following table: Year Demand for Fertilizer (1,000s of bags) 1 4 2 6 3 4 4 5 5 10 6 8 7 7 8 9 9 12 10 14 11 15 a) Develop a three-year moving averages to forecast sale. b) Then estimate d

### Determine optimal shipping schedules.

I'm studying the transportation models and shipment. Can you please tell me the method to solve the following problem and show me the procedure? A company produces cars in Atlanta, Boston, Chicago, and Los Angeles. The cars are then shipped to warehouses in Memphis, Milwaukee, New York City, Denver, and San Francisco. The num

### Two Optimization Problems

Untimed Optimization Assessment, Due 04/17/10 11PM (no extra time given by Blackboard) You have to do two separate things to complete this assessment: 1) Enter answers to numbered questions using online Assessment form (untimed one). 2) Upload the spreadsheets you used in solving the questions on this assessment (no spr

### Identify the function's extreme values in the given domain

Identify the function's extreme values in the given domain, and say where they are assumed. Tell which of the extreme values, if any, are absolute. f(x) = x2 - 6x, -&#8734; < x &#8804; 6 Answer Options: a) Local and absolute minimum: (3, -9); Local maximum: (6, 0) b) Local minimum: (6, 0); Local and absolute maximum: (3,

### Use QM for windows

Given a transportation problem with the following costs, supply, and demand, find the optimal solution by using the computer: To(cost) From 1 2 3 Supply A \$16 \$7 S4 100 B 5 3 6 180 C 8 5

### Formaulate and solve an integer programming model

Please see the attached file for the fully formatted problems New Offices at Atlantic Management Systems Eliminate Denver in table when solving this problem. See attachment for problem. 1. Formulate and solve an integer programming model to help Atlantic Systems determine how many new offices it should open where the

### Transportation modeling problem

A soda producer makes and sells two products, Classic Cola and Diet Cola. If this company spends X1 dollars on promotion of Classic Cola in a particular western city, it can sell 75 X1^0.5 12-packs of Classic Cola each week there. Moreover, if this company spends X2 dollars on promotion of Diet Cola in a particular western

### Mathematical modeling question

After graduating from business school, George Clark went to work for a Big Six accounting firm in San Francisco. Since his bobby has always been wine making, when he had the opportunity a few yeas later he purchased 5 acres plus an option to buy 35 additional acres of land in Sonoma Valley in Northern California.. He plans eve

### Optimization problem lingo or lindo

I have an optimization problem which is already solved using Excel solver, however, I need it to be solved with in lingo or lindo systems. every thing needed is described in the attached file

### Forecast model consumer loan department atCentral Union bank

The consumer loan department at Central Union bank and Trust wants to develop a forecasting model to help determine it's potential loan application volume for the coming year. Because adjustable-rate home mortgages are based on government long-term treasury not rates, the department collected the following data for 3- to 5 - ye

### Exponential Smoothing Forecast and Trend Projection

The Mayfair Department Store in Davenport, Iowa, is trying to determine the amount of sales lost while it was shut down during July and August because of damage caused by the Mississippi River flood. Sales data for January through June follow. Month Sales (\$1000s) January 185.72 February 167.84 March 205.11 April 210.36

### Question about integer programming model

The Texas Consolidated Electronics Company is contemplating a research and development program encompassing eight research projects. The company is constrained from embarking on all projects by the number of available management scientists (40) and the budget available for R&D projects (\$300,000). Further, if project 2 is select

### Maximum Value or Minimum Value

Attached is the word document. 1. Solve the problem. (section 8.3) Working together, Rick and Juanita can complete a job in 6 hours. It would take Rick 9 hours longer than Juanita to do the job alone. How long would it take Juanita alone? 2. Solve. (section 8.5) 7t-2 + 33t-1 + 20 = 0 3. Without graphing, find the ma

### Quantitative Methods

A local real estate investor in orlando is considering three alternative investments: a motel, a restaurant , or a theater . Profits from the motel or restaurant will be affected by the availability of gasoline and the number of tourists: profits from the theater will be relatively stable under any conditions. The following pa

### Linear Programming Problem

Problem 11-13 A group of college students is planning a camping trip during the upcoming break. The group must hike several miles through the woods to get to the campsite, and anything that is needed on this trip must be packed in a knapsack and carried to the campsite. One particular student, Tina Shawl, has identified eight

### Maximum value expressed

Maximize 12x1 +7x2 St 4x1+9x2< 36 7x1+6x2<42 x2<8 x1>2 x1,x2>0 whats the optimal solution whats is the value of the objective function graphical method. Shade in the feasible region corresponding to the constraints

### Unequal Supply and Demand Conditions, Supply Less Demand.

Max's Chicken House has three branches: A, B, and C at different locations. These three branches deliver fried chickens to three distributors: X, Y and Z. The following tables gives the delivery costs, the number available at each branch, and the number needed by each distributor. From To X To Y To Z S

### Setting Dimensions to Minimize Cost of Materials: Example

We want to build a 600 square meter rectangular enclosure with three sides to be built from material costing \$14/mtr and the other side costing \$28/mtr. How do I set the dimensions to minimize the cost of materials?

### Best Schedule of Delivery that Will Minimize Transportation Cost

Gemini orchards distributes assorted fruits from its two farms to three ice-cream factories X,Y, and Z. Availabilities: 5000, 6000 Requirements: 4000, 3000, 4000 Delivery cost per 1000 Kilograms From X Y Z A \$175 \$150 \$100

### Optimal Solution - Designing a Plan at a Minimum Cost

( Stepping Stone Method ) Dezz Manufacturing Inc. wants to find the lowest cost of deliver of its products to Ever Supermarkets. Ever Cal needs 500 bottles, Ever Rect needs 700 bottles, and Ever Con needs 400 bottles. The owner has three branches located at three different places. Maz Warehouse has 550 bottles, Cal warehou

### Forecast Analysis

The book store sells computers to students at a discount. The book store usually sells the computers at cost or for minimal profit. Each summer all incoming freshman come to a 3 day orientation program. The students usually come in groups of 100 throughout the summer. At the orientation they are usually given information on the

### Forecast Soft Drink Machines

The number of cans of soft drinks sold in a machine each week is recorded below. Develop forecasts using a three period moving average. 338, 219, 278, 265, 314, 323, 299, 259, 287, 302

### Moving average to forecast attendance at baseball games

Use a four period moving average to forecast attendance at baseball games. Historical records show 5346, 7812, 6513, 5783, 5982, 6519, 6283, 5577, 6712, 7345

### Quantitative Methods - 5 questions about forecasting

I am having trouble with the problems attached. I can't figure out the periods, smoothed forecasting and linear regression. I have attached the problem because the tables/graphs look better on a word document rather than in the full description section. --------------------------------------------------------- 1. Given the

### Inventory Control Model

The marginal loss on Washington Reds, a brand of apples from the state of Washington, is \$35 per case. The marginal profit is \$15 per case. During the past year, the mean sales of Wshington Reds in cases was 45,000 cases, and the standard deviaiton was 4,450. How many cases of Washington Reds should be brought to market? Ass