Captain Jack Sparrow has been marooned on an island in the Atlantic by his crew, and decides to build a raft to escape. The wind seems quite steady, and first blows him due east for 13 km, and then 15 km in a direction 8 degrees north of east. a. How far east has the wind blown Jack?

b. How far north has Jack been blown?

c. Confident that he will eventually find himself in Spain, Jack falls asleep. When he wakes up, he notices the wind is blowing him gently 11 degrees south of east - but after traveling for 27 km, he finds himself back on the island where he started! How far did the wind blow him while he was sleeping?

d. Assuming the wind blew the same direction all night, what direction, in degrees north of west, did the wind blow Jack during the night?

The basic difference between macroeconomics and microeconomics is that: a. microeconomics looks at the forest (aggregate markets) while macroeconomics looks at the trees (individual markets). b. macroeconomics is concerned with groups of individuals while microeconomics is concerned with single countries. c. microeconomics is concerned with the trees (individual markets) while macroeconomics is concerned with the forest (aggregate markets). d. macroeconomics is concerned with generalization while microeconomics is concerned with specialization.

Suppose there are three types of consumers who attend concerts at your university’s performing arts center: students, staff, and faculty. each of these groups has a different willingness to pay for tickets; within each group, willingness to pay is identical. there is a fixed cost of $1,000 to put on a concert, but there are essentially no variable costs. for each concert: i. there are 140 students willing to pay $20. (ii) there are 200 staff members willing to pay $35. (iii) there are 100 faculty members willing to pay $50. a) if the performing arts center can charge only one price, what price should it charge? what are profits at this price? b) if the performing arts center can price discriminate and charge two prices, one for students and another for faculty/staff, what are its profits? c) if the performing arts center can perfectly price discriminate and charge students, staff, and faculty three separate prices, what are its profits?

Solomon chemical company makes three products, b7, k6, and x9, which are joint products from the same materials. in a standard batch of 320,000 pounds of raw materials, the company generates 70,000 pounds of b7, 150,000 pounds of k6, and 100,000 pounds of x9. a standard batch costs $3,840,000 to produce. the sales prices per pound are $10, $14, and $20 for b7, k6, and x9, respectively. (a) allocate the joint product cost among the three final products using weight as the allocation base. (b) allocate the joint product cost among the three final products using market value as the allocation base. (c) allocate the joint product cost among the three final products using weight as the allocation base.