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Swearingen and McDonald, a small furniture manufacturer, produces fine hardwood tables and chairs. Each product must go through three stages in the manufacturing process -assembly, finishing, and inspection. Each table requires 12 hours of assembly, 20 hours of finishing, and 2 hours of inspection. Each chair requires 4 hours of assembly, 16hours of finishing, and 3 hours of inspection. The profit per table is $150 while the profit per chair is $100. Currently, each week there are 300 hours of assembly time available, 220 hours of finishingtime, and 30 hours of inspection time. To keep a balance, the number of chairs produced should be at least twice the number of tables. Also, the number of chairs cannot exceed 6times the number of tables. Formulate this as a linear programming problem. Carefully define all decision variables. Find the solution.
A truncated pyramid is what is left when a plane parallel to the base cuts off the top. If a regular hexagon pyramid is truncated half way from the base to the top, what is the volume of the truncated solid if each base edge is 36 and each lateral..
Find the height at which the light has to be fixed to get its use in maximum area using its perimeter function
Mutually Exclusive events, Probabilities, and Binomial Distribution. Use the frequency distribution below to answer questions 13-17. The number of school-related extracurricular activities per student.
What is the markup percentage for a box of ginger tea and create the formula that will give you the ginger tea markup percentage.
A recent data showed that 78% of the statistics students pass the class. If we randomly select 20 statistics students, what is the probability that exactly half of them would pass?
A nontrivial graph G is called prime if G = G_1 x G_2 implies that G_1 or G_2 is trivial. Show that if a connected graph G has a vertex which is not in a cycle of length four, then G is prime.
State null & alternative hypotheses
A fast food outlet has an average of 8 cars at the drivethrough during "lunch rush" 11am-1pm. On average, 2 cars per min. arrive at the resaurant parking lot, and consider the drivethrough
A car leaves Lima at noon traveling due West at 65 mph. At 2 PM, a car 300 miles south of Lima heads towards Lima at 70 mph. How quickly is the distance between the cars changing at 4 PM?
An application of a rational function is T = (AB)/(A+B), which gives the time, T, it takes for two workers to complete a particular task where A & B represent the time it would take for each individual worker to complete the identical task.
Suppose that for a particular person enrolled in a typing class, Sketch a graph of the function f, including any vertical or horizontal asymptotes.
Finding the dimensions of a rectangle using second derivative test - Find length and width should the rectangle have so that its area is a maximum?
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