Set up the linear programming problem.Eric's Carpentry manufactures two types of bookshelves that are 4 feet tall and 3 feet wide, a basic model and a deluxe model. Each basic bookshelf requires 1.5 hours for assembly and 1 hour for finishing; each deluxe model requires 2.5 hours for assembly and 1 hour for finishing. Two assemblers and one finisher are employed by the company, and each works 40 hours per week.(a) Using x to denote the number of basic bookcases and y to denote the number of deluxe bookcases, write a system of linear inequalities that describes the possible number of each model of bookcase that can be manufactured in a week.(b) Graph the system and label the corner points.
What will be an ideal response?
(a)
(b)
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Determine when the Hamilton method gives an Alabama paradox on increasing committee size and who loses a seat.An apartment complex has three buildings. Building A has 120 units, building B has 141 units, and building C has 39 units. A 9-person committee will set rules to govern the complex. This committee is proportioned to the numbers of units in the buildings. Increase the members in the committee one at a time and reassign the seats.
A. Assignment of the 12th seat; building B B. Assignment of the 13th seat; building C C. Assignment of the 11th seat; building B D. Assignment of the 12th seat; building C
List all equally likely outcomes in the sample space for the indicated experiment.A box contains 3 blue cards numbered 1 through 3, and 4 green cards numbered 1 through 4. List the sample space of picking a blue card followed by a green card.
A. {(3, 4)} B. {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 2), (2, 3), (2, 4), (3, 1), (3, 2), (3, 3), (3, 4)} C. {(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (4, 1), (4, 2), (4, 3)} D. {(1, 2, 3, 4)}
Find the area of the region specified in polar coordinates.the region enclosed by the curve r = 8 - 6 cos ?
A. 50? B. 100? C. 68? D. 82?
Factor the expression completely. If the polynomial is prime, state this as your answer.x4 - 9
A. prime B. (x2 + 3)2 C. (x2 + 3)(x2 - 3) D. (x2 - 3)2