You sell Blivets on a sliding-price scale. Price per Blivet p in dollars is given by a linear function of q Blivets. You charge $24 each for an order of 1 Blivet and $18 each for an order of 13 Blivets.

a.) Find the linear formula for price per Blivet as a function of quantity q.

p=

b.) Write out the formula for your total revenue for an order of q Blivets.

TR(q)=

c.) Recall that marginal revenue at q is given by MR(q)=\frac{TR(q+1)-TR(q)}{1} and compute the marginal revenue for selling 10 Blivets.

= ? dollars per Blivet

d.) The Blivets cost $5 each to manufacture and you have fixed costs of $100. Give the formula for the total cost to produce q Blivets.

TC(q)=

e.) What is the maximum profit? Include units. (Assume that you cannot sell a fraction of a Blivet. The quantity that maximizes profit must be a whole number.)

Alarge university wanted to study the relationship between completing an internship during college and students' future earning potential. prom the same graduating class, they selected a random sample of 80 students who completed an internship and 100 students who did not complete an internship and examined their salaries five years after graduation. they found that there was a statistically higher mean salary for the internship group than for the noninternship group. which of the following interpretations is the most appropriate? a. there could be a confounding variable, such as student major, that explains the difference in mean salary between the internship and no internship groups.b. we cannot infer anything from these data since the distribution of salaries is likely right skewed.c. you cannot draw any valid conclusions because the sample sizes are different.d. more students should complete internships because having an internship produces a higher salary.