. 1. Consider the equation 3x2 - 2x - 1 = 0. The sum of the roots of this equation is 1 2 -1/3 2/3 None of the above 2. For x > 0, which of these statements best describe the graph of y = x.25? The slope is greater than zero and is decreasing. The slope is greater than zero and is increasing. The slope is less than zero and is decreasing. The slope is less than zero and is increasing. None of the above 3. Let p = the price in dollars charged for the dose of a drug. Suppose that the annual demand (in millions of doses) = 1000 - 3p. The annual supply (in millions of doses) = 600 + 2p. The annual supply will equal the annual demand if the price of a dose is ______ dollars. Top of Form 4. Let q = the annual demand in pounds for a drug and p = the price per pound of the drug. Suppose that q = 1,000,000p-6. Also suppose that you want to "invert the demand curve" and express price as a function of demand. Which of the following is an expression of the inverse demand curve? Top of Form p = 0.10q-1/6 p = 10q6 p = 10q-1/6 p = 0.10q-1/3/10 None of the above 5. Suppose that a total of $10 million will be allocated to the first three finishers in the Springfield Derby horse race in the ratio 7:2:1. The total amount received by the 2nd- and 3rd-place finishers in the race is Top of Form $7 million $5 million $3 million $1 million None of the above 6. The fixed cost of developing a new drug is $3 billion. The unit cost of producing a single dose of the drug is $1, and patients are charged $11 per dose. In order to make a $1 billion profit on the drug, how many doses must be sold? Top of Form 300,000,000 350,000,000 400,000,000 500,000,000 None of the above 7. When simplified, 18 + 4 × 9/22 + 5 equals _____________. Top of Form 8. Suppose that Ln x = -3. Rounded to the nearest hundredth, what does x equal? Top of Form 20.09 0.05 0.10 0.50 None of the above 9. For x = 2, the slope of the function f(x) = x4 - 3x2 is Top of Form 10 25 15 30 None of the above 10. For x = 1/2 the second derivative of f(x) = 2x-2 is Top of Form 3/4 100 192 25 None of the above 11. What is the complete set of numbers for which f(x) = x3 + 2x2 - x is concave? Top of Form x ≥ -2/3 x ≥ -3/2 x ≥ 3/2 x ≥ 1 None of the above 12. The inflection point for f(x) = x3 - 3x2 + x + 5 is Top of Form x = 0 x = 1 x = -1 x = 2 None of the above 13. The unit cost of producing a steak dinner at the Smalltown Inn is $6. If a restaurant charges p dollars for a steak dinner, customers will demand 200 - 5p steak dinners per week. To maximize the profit earned on steak dinners, what price should the inn charge? Top of Form $20 $21 $22 $23 $25 14. Today is January 1, 2020. On January 1 of the years 2021 through 2030, you are to receive $50,000. If cash flows are discounted at 10% per year, the present value of these cash flows (as of today), rounded to the nearest dollar, is Top of Form ...