Consider a partial equilibrium economy with utility function U(m, q) = m + q^(1/3) and production function f(x) = x^(1/4). From the firm’s FOC we know that the if the firm chooses q at price p, it must be the case that p = 4q^3. Thus, the firm’s supply function S(p) — output as a function of price — is?

Your patient requires Gentamycin 6 mg/kg/day in three divided doses.  Your patient weighs 132 pounds.  How much Gentamycin should be given in each dose?    

Your patient is receiving 1000 ml D5.45NaCl, which is to run over 6 hours.  The tubing delivers 20 drops/ml.  How many drops per minute should your patient receive?      

Consider a partial equilibrium economy with utility function U(m, q) = m + q^(1/3) and production function f(x) = x^(1/4). A 50% ad-valorem tax is collected from the producer. The consumer’s inverse demand remains p = (1/3)*q^(-2/3) and the taxed inverse supply is p = 8q^3. Setting demand equal to taxed supply and solving, the equilibrium quantity under the tax q_tau is:

In a partial equilibrium environment, a non-wasteful allocation is one in which:

Describe the importance of the Urea Cycle and the Cori Cycle for the body. Include reactants and products created. 

A math exam has a mean score of 70 and a standard deviation of 10. What is the Z-score of a student who scored 90?

According to the Empirical Rule, approximately how many standard deviations from the mean include about 95% of the data?

A researcher is constructing a 95% confidence interval for the mean of a population using a sample of 12 observations. Which of the following is the correct t-critical value (t*) to use for this confidence interval?

A community intervention program is 80% effective at reducing smoking among participants. If 10 individuals enroll in the program, what is the probability that exactly 8 of them successfully reduce smoking?