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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
To help schedule staffing and equipment needs, a large hospital uses a multiple regression model to predict its 'bed census' y, the number of beds occupied at the end of each day.
Four wheel bearings have been replaced on a company car. The mechanic has selected 4 bearings from a large supply bin. The mechanic is unaware that 10 percent of the bearings fail within the first 100 miles.
Two new york designs are under consideration for possible adoption in an assembly plant. A time study is conducted with 10 workers using design 1, and 12 workers using design 2. The means and standard deviation of their assembly times in minutes a..
The city of Laguna Beach operates two public parking lots. The one on Ocean drive can accommodate upto 125 cars and the one on Rio Rancho can accommodate upto 130 cars.
Suppose that a certain college class contains 45 students. Of these, 26 are sophomores, 25 are chemistry majors, and 7 are neither. A student is selected at random from the class.
Management announce an incentive pay for the top 30% producers. what is the minimum number of units that a worker should produce in order to qualify for the incentive pay?
Provide a business example that you can apply regression to. State the null and alternative hypothesis using the appropriate phrasing for the type of regression chosen.
Suppose the population standard deviation is unknown. If 71% of all sample means are greater than 49 hours and the population mean is still 50.4 hours, what is the value of the population standard deviation?
The Nile Superstore is conducting a survey of consumer preferences for a new wireless, e-book reader. A sample of 160 people reveals that 120 would buy the new reader. Estimate the value of the population proportion.
The heights of children 2 years old are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches. Pediatricians regularly measure the heights of toddlers to determine whether there is a problem.
Each organization gets a 90% confidence interval. About how many of these intervals should cover the population average?
Average size of ready-made garments. (ii) Average marks of a student and when median is greater than mean, and (ii) When Mean is greater than median.
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