Model the following decision-making situation as a linear program.A company makes a blend consisting of two chemicals, 1 and 2, in the ratio 5:2 byweight. These chemicals can be manufactured by three different processes using twodifferent raw materials and a fuel. Production data are given in the table below. Forhow much time should each process be run in order to maximize the total amount ofthe blend manufactured?Requirements per unit time Output per unit timeFuel Chem 1(units)Raw 1Raw 2Chem 2(units) (units)(units)(units)6.Process19.550267571041110010Available2004001850(a) Clearly define the decision variables.(b) Write the objective function.(c) Write the constraints.

Introduction: A linear programming problem is a mathematical formulation of a real life problem. The…

Answered: Model the following decision-making…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Emily is trying to check if the nutritional content of different formulas have different effects on mice. She uses five mice to test each type of formulas (A, B, and C) and Formula A is simply a placebo. Each mouse's weight is recorded in grams. At the end of a specified time period, each mouse is weighed again and the net gain in grams is recorded as shown in Table 1 below. Formula Formula Formula A В 40 47 51 32 38 41 42 49 38 36 46 46 39 44 49 Using an F-test, determine whether or not the variance in weight gain is statistically the same among the mice that were using Formula B and Formula C. Test at a confidence level of 90%. (HINT: Remember that the bigger standard deviation goes in the numerator when calculating the test statistic) a. Should we run the test on all three columns or only on two columns? (Write "2" or "3" in the blank): b. The F-test statistic calculated for this problem is (Round to three decimal places). c. The critical-F value for this problem is (Round to three…
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Arrange a plan to order from the supplier using Part Period Balancing and Least Unit Cost method. Ordering lead time of the components is 1 period. Then Calculate the total cost of each method.
A company is producing 3 products A ,B and C. BOM of each product is given in the table below. Material Unit Product A Product B Product C Steel Ton 4 Aluminum KG 50 40 60 Wood CFT 10 10 Glass SFT 30 30 Rubber Sealer RFT 100 120 Screws Рack 5 6 4 Nut Bolt Dozen 2 Calculate the material requirements for 6 months production for all the products if monthly demand for A=1000, B=1200 and C=1500 units
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In the production process of a company, 4 units of a certain input are used daily. It happens that the different formulations of this input can affect the yield of the process as well as the level of environmental pollution. On a given day the company has 40 units of this input in stock and they can be classified according to the table below:
The table shows per capita peach consumption.t Per Capita Consumption of Peaches (pounds) 1 2 Additional Materials eBook 3 4 5 6 Price (above $1.50 per pound) 0.10 0.20 0.30 4.8 4.7 6.2 6.1 7.0 6.9 7.6 7.5 8.0 8.0 8.4 8.3 8.3 0.00 5.0 4.9 6.4 6.3 7.2 7.1 7.8 7.7 8.2 8.1 8.6 8.5 (a) Find the function of the logarithmic cross-sectional model that gives per capita consumption of peaches at a price of $1.60 per pound, where f represents yearly family income in tens of thousands of dollars, with data from 1 ≤ f≤ 6. (Round all numerical values to three decimal places.) c(0.10, f) = 0.50 4.6 6.0 6.8 7.4 7.4 7.9 7.8 8.2 lb 0.40 4.7 6.1 6.9 (b) Calculate per capita peach consumption for families with a yearly income of $25,000 when the price is $1.60 per pound. (Round your answer to one decimal place.) lb
Walmart has become the largest supermarket in America, and as Walmart grows, its net sales also increase. The table below shows Walmart's Net Sales data per quarter from 2015 to 2021. Using this data help Walmart to forecast (using solver excel step by step): • Make a forecast for the next period with the Moving Average method n: 5 • Make a forecast for the next period with the Weighted Moving Average method, 0,1; 0,3 ; 0,2; 0,4 • How much is the change in net sales per quarter? • Using liner trend method how much Net Sales in 2025 Quarter 2? Periods Net Sales 2015 Quarter 1 $ 115.000.000,002015 Quarter 2 $ 120.000.000,002015 Quarter 3 $ 117.000.000,002015 Quarter 4 $ 130.000.000,002016 Quarter 1 $ 116.000.000,002016 Quarter 2 $ 121.000.000,002016 Quarter 3 $ 118.000.000,002016 Quarter 4 $ 131.000.000,002017 Quarter 1 $ 118.000.000,002017 Quarter 2 $ 123.000.000,002017 Quarter 3 $ 123.000.000,002017 Quarter 4 $ 136.000.000,002018 Quarter 1 $ 123.000.000,002018 Quarter 2 $…
Find the production schedule for the technology matrix and demand vector given below:
Find the production schedule for the technology matrix and demand vector given below: 0.1 0.3 0.4 4 A = 0.1 0.2 0.4 D = 5 %3D 0.1 0.1 3 X =

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