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Concept explainers
In Exercises 25-32, we use the Hamilton method to do the apportionment.
The new states paradox.Redo Exercise 31, but now use the populations given below. Also assume that the original commission has 70 members.
State | Population (thousands) |
A | 230 |
B | 740 |
C | 380 |
D | 600 |
31.The new states paradox.Redo Exercise 29, but now use the populations given below. Also assume that the original commission has 56 members. Assume that A, B, and C are the original states and D is the new state.
State | Population (thousands) |
A | 8,700 |
B | 4,300 |
C | 3,200 |
D | 6,500 |
29.The new states paradox.Two states A and B have formed a 100-member commission to explore ways in which they can work jointly to improve the business climate in their states. The members will be apportioned to the commission according to the populations of the two states. After seeing the success of the commission, a third state asks to join and appoint members to the commission. States A and B agree and will allow state C to add as many members to the commission as they would deserve now using the current standard divisor. The populations of the three states are given below. Does this example illustrates the new states paradox? Explain.
State | Population (thousands) |
A | 2,000 |
B | 7,770 |
C | 600 |
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Chapter 10 Solutions
Mathematics All Around (6th Edition)
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- 2. f(x)=√7-x 4. A manufacturer has a monthly fixed cost of $40,000 and a production cost of $8 for each unit produced. The product sells for $12 per unit. 1. What is the cost function? 2. What is the revenue function? 3. Compute the profit corresponding to 12,000 units. 5. A rectangular box is to have a square base and a volume of 20 ft3. The material for the base costs $0.30 per ft2, the material for the sides cost $0.10 per ft2, and the material for the top costs $0.20 per ft2. Letting x denote the length of one side of the base,arrow_forwardSolve using superposition principlearrow_forwardreview problems please help!arrow_forward
- Solve the problems on the imagearrow_forward3. f(7) 3. Find the domain of each of the following functions. 1 1. f(x)=2-6x+8 2. f(x)=√√7-x 4. A manufacturer has a monthly fixed cost of $40,000 and a production cost of $8 for each unit produced. The product sells for $12 per unit.arrow_forward7. Evaluate the following limits and justify each step. (a) lim (3x²+2x+1) 1 x²+4x-12 (b) lim 1 2 x² - 2x t-√√3t+4 (c) lim t-0 4-t x²-6x+5 (d) lim (e) lim x 5 x-5 x→2 x²+2x+3 4u+1-3 (f) lim u➡2 u-2 1 (g) lim x-3 2 x 55 x - 7x4 +4 (h) lim xx 5x+2x-1 x+1 (i) lim x²-2x+5 - 7x8+4x7 +5xarrow_forward
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