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A company produces two products that are processed on two assembly lines. Assembly line 1 has 100 available hours, and assembly line 2 has 42 available hours. Each product requires 10 hours of processing time on line 1, while on line 2 product 1 requires 7 hours and product 2 requires 3 hours. The profit for product 1 is $6 per unit, and the profit for product 2 is $4 per unit. a. Formulate a linear programming model for this problem. b. Solve the model by using graphical analysis. The Pinewood Furniture Company produces chairs and tables from two resources - labor and wood. The company has 80 hours of labor and 36 board-ft. of wood available each day. Demand for chairs is limited to 6 per day. Each chair requires 8 hours of labor and 2 board-ft. of wood, whereas a table requires 10 hours of labor and 6 board-ft. of wood. The profit derived from each chair is $400 and from each table, $100. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit. Formulate a linear programming model for this problem. a. Formulate a linear programming model for this problem. b. Solve the model by using graphical analysis. In Problem 6, how much labor and wood will be unused if the optimal numbers of chairs and tables are produced?The Elixer Drug Company produces a drug from two ingredients. Each ingredient contains the same three antibiotics, in different proportions. One gram of ingredient 1 contributes 3 units and one gram of ingredient 2 contributes 1 unit of antibiotic 1; the drug requires 6 units. At least 4 units of antibiotic 2 are required and the ingredients contribute 1 unit each per gram. At least 12 units of antibiotic 3 are required; a gram of ingredient 1 contributes 2 units, and a gram of ingredient 2 contributes 6 units. The cost for a gram of ingredient 1 is $80, and the cost for a gram of ingredient 2 is $50. The company wants to formulate a linear programming model to determine the number of grams of each ingredient that must go into the drug in order to meet the antibiotic requirements at the minimum cost. a. Formulate a linear programming model for this problem. b. Solve the model by using graphical analysis. A clothier makes coats and slacks. The two resources required are wool cloth and labor. The clothier has 150 square yards of wool and 200 hours of labor available. Each coat requires 3 square yards of wool and 10 hours of labor, whereas each pair of slacks requires 5 square yards of wool and 4 hours of labor. The profit for a coat is $50, and the profit for slacks is $40. The clothier wants to determine the number of coats and pairs of slacks to make so that profit will be maximized. a. Formulate a linear programming model for this problem. b. Solve the model by using graphical analysis. Solve the following linear programming model graphically: Maximize Z = 5x1 + 8x2Subject to3x1 + 5x2 ≤ 502x1 + 4x2 ≤ 40x1 ≤ 8x2 ≤ 10x1, x2 ≥ 0
Recent studies have shown that the super-cooling temperature of terrestrial frogs frozen at -6°C has a relative frequency distribution with a mean of - 2°C and a standard deviation of 0.3°C (The first of these studies was reported in Science, May ..
Day are 0.49, 0.39, 0.08, and 0.04, respectively. Find the standard deviation for the probability distribution. Round answer to the nearest hundredth.
Probability values based on normal distribution - What can you say about the shape of the distribution of sample mean and find the standard error of the distribution of the sample mean?
What is wrong with only inspecting the peaches on the top of the barrel? How could you improve your inspection process?
A measure of central tendency, and variability. Report the findings in the APA format and write a brief paragraph describing your findings.
You took a sample of your expenses for 20 weeks and found that the average is $285 and the standard deviation for the sample is $25. Set up your null and alternative hypothesis for testing whether your cists are different and do the analysis using..
For n=25 make up three values of that would be considered typical for a sample from this population. Make up three data points that would be considered typical from this population.
Estimate the probability that the machine will overflow an 8 oz cup.
Develop four probability questions using the table that you as an instructor of statistics might ask a class of students for a test in probability.
The engineer in a widget factory wants to test out a new form of raw materials. So a batch of widgets are made in the old manner as a control group and then a batch are made with the new materials as a comparison.
Conduct the test at the 0.05 level of significance whether the modification actually increased the life of the AAA battery. What was their decision rule?
Use the Kolmogorov-Smirnov test to discover whether the distribution of location of accidents is uniformly distributed for the month of September
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