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Klein Chemicals, Inc., produces a special oil-base material that is currently in short suply. For of Klein's customers have already placed orders that together exceed the combined capacity of Klein's two plants. Klein's management faces the problem of deciding how many units it should supply to each customer. Because the four customers are in different industries, different prices can be charged because of the various industry pricing structures. However, slightly different production costs at all two plants and varying transportation costs between the plants and customers make a "sell to the highest bidder" strategy unacceptable. After considering price, production costs, and transportation costs, Klein established the following profit per unit for each plant-customer alternative.CUSTOMERPLANT D1 D2 D3 D4Clifton Springs $32 $34 $32 $40Danville $34 $30 $28 $38
The plant capacities and customer orders are as follows:Plant Capacity (units) Distributor Order (units)Clifton Springs 5000 D1 2000D2 5000Danville 3000 D3 3000D4 2000How many units should each plant produce for each customer to maximize profits?Which customer demands will not be met?Show your network model and linear programming formulation.
The following table of grades definition is taken from a Students' handbook and it defines the scale of the final grades in a Post Graduate program.
Calculate the principal components of the first two flowers - If we wish to keep at least 85% of the total variance, how many principal components do we need to keep?
Time-Series Forecasting: Applied Regression Analysis course, The data in DJIA.xls represent the closing values of the Dow Jones Industrial Average (DJIA) from 1979 through 2008. Plot the time series. Find a three-years moving average to the d..
Find critical numbers, inflection points, absolute max and absolute min values for the following functions:
Discuss how you would proceed if you had to determine to introduce a new product or not. Include the appropriate statistical testing.
Incoming crude can be processed by one of three methods. The per barrel yield and per barrel cost of each processing method are shown in the following table.
What is the probability that the fourth part retrieved from stock is the first defective?
Write down the joint pmf (as a table) of X and Y . Are X and Y independent and determine the marginal pmf of X and the conditional pmf of Y given X = 1 - Determine the expectations and variances of X and Y.
Formulate an LP problem to determine what blend of the four chemicals will allow Golding to minimize the cost of a 50 pound bag of the fertilizer. Solve using the computer LP approach.
1 consider the following lpmaximize z4x15x23x3subject tox1x24x3le6x12x2x3le7x14x22x3le12a add slack variables x4 x5 and
How do we distinguish relations from functions? Reduce the following Boolean product to zero OR a fundamental product: xyx'z.c Write the dual of the following Boolean equation: a+a'b = a+b.
question 1 the data in djia.xls represent the closing values of the dow jones industrial average djia from 1979 through
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