The manager of a restaurant found that the cost to produce 200 cups of coffee is $20.95, while the cost to produce 500 cups is $50.35. Assume the cost C(x) is a linear function of x, the number of cups produced. Answer parts a through f.

a. Find a formula for C(x)
b. What is the fixed cost
c. Find the total cost of producing 1200 cups
d. Find the total cost of producing 1201 cups
e. Find the marginal cost of the 1201st cup
f. What is the marginal cost of any cup and what does this mean to the manager

For the function, f(x) = -5x 2, find f(-4).

Researchers are conducting experiments to determine the role of alcohol in the development of depression. after the study is complete, they determine that the relative risk of developing depression is 1.55 with a 95 % ci of 1.2 -1.9. each group is then divided into nonsmokers and smokers. the relative risk for the nonsmokers is 1.12 with a 95% ci of 0.87-1.37. the relative risk for the smokers is 1.7 with a 95 % cl of 1.5-1.9. what type of bias may affect this study? a. procedure bias b. recall bias c. selection bias d. confounding e. lead-time bias

At a soccer tournament 1212 teams are wearing red shirts, 66 teams are wearing blue shirts, 44 teams are wearing orange shirts, and 22 teams are wearing white shirts. for every 22 teams at the tournament, there is 1 team wearing shirts. choose 1