Consider the utility function u(x1; x2) = 10x1 x21 + x2, again with the budget constraint p1x1 + p2x2 = i. (a) for what bundles (x1; x2) is this utility function monotonically increasing? (b) form the lagrangian associated with this utility maximization problem, nd the rst-order conditions, and solve for the demand function for good x1. (c) find the own price elasticity of demand for good 1. now assume p2 = 1. when (i. e., for what prices p1) is demand inelastic? unit elastic? elastic?

Grant, inc., acquired 30% of south co.’s voting stock for $200,000 on january 2, year 1, and did not elect the fair value option. the price equaled the carrying amount and the fair value of the interest purchased in south’s net assets. grant’s 30% interest in south gave grant the ability to exercise significant influence over south’s operating and financial policies. during year 1, south earned $80,000 and paid dividends of $50,000. south reported earnings of $100,000 for the 6 months ended june 30, year 2, and $200,000 for the year ended december 31, year 2. on july 1, year 2, grant sold half of its stock in south for $150,000 cash. south paid dividends of $60,000 on october 1, year 2. before income taxes, what amount should grant include in its year 1 income statement as a result of the investment?

Cooper sues company a in state court in south carolina, where he lives, for negligence alleging personal injury and property damage of $100,000 after a truck driven by an employee of company a rear-ended his pickup truck. company a is incorporated in delaware, has its headquarters in new york, but does a substantial amount of business in south carolina. claiming diversity of citizenship, company a seeks removal to federal district court, but cooper opposes the motion. which of the following is true regarding whether the case may be properly removed to federal district court? the amount in controversy satisfies diversity requirements; and if company a's nerve center is in a state other than south carolina, then the case may be properly removed to federal court.the amount in controversy satisfies diversity requirements; and because company a is incorporated and has its headquarters in a state other than south carolina, the case may be properly removed to federal court.because the amount in controversy satisfies diversity requirements and company a is incorporated in a state other than south carolina, the case may be properly removed to federal court regardless of where company a's headquarters, nerve center, or principal place of business is located.because the amount in controversy satisfies diversity requirements and company a is headquartered in a state other than south carolina, the case may be properly removed to federal court regardless of where company a is incorporated and regardless of the location of its nerve center.because the amount in controversy fails to satisfy jurisdictional requirements, regardless of the location of company a, the case may not be removed to federal court.

When peter metcalf describes black diamond’s manufacturing facility in china as a “greenfield project,” he means that partnered with a chinese company to buy the plant . of all market entry strategies, this one carries the lowest risk. because black diamond manufactures its outdoor sports products outside the united states, what risks must its managers be aware of?