A) You are given a set of rules for this question: Should we buy a house or not? The following variables are used
A = Level of inflation
B = interest rate
C = housing prices
D = invest in housing (the potential goal)

The rules:
R1: IF inflation is low,
THEN interest rates are low,
ELSE interest rates are high

R2: IF interest rates are high,
THEN housing prices are high.

R3 IF housing prices are high,
THEN do not buy a house,
ELSE buy a house

i) Run backward chaining with a high inflation rate as given
Thus with the fact: Level of inflation as high
ii) Run forward chaining with a high inflation rate as given
Thus with the fact: Level of inflation as high

(13 marks)

b)
You are given an ES with the following rules:

R1: IF interest rates fall,
THEN bond prices will increase

R2: IF interest rates increase,
THEN bond prices will decline

Jallouk corporation has two different bonds currently outstanding. bond m has a face value of $50,000 and matures in 20 years. the bond makes no payments for the first six years, then pays $2,100 every six months over the subsequent eight years, and finally pays $2,400 every six months over the last six years. bond n also has a face value of $50,000 and a maturity of 20 years; it makes no coupon payments over the life of the bond. the required return on both these bonds is 10 percent compounded semiannually. what is the current price of bond m and bond n?

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.

Acompany has two products: standard and deluxe. the company expects to produce 36,375 standard units and 62,240 deluxe units. it uses activity-based costing and has prepared the following analysis showing budgeted cost and cost driver activity for each of its three activity cost pools.budgeted activity of cost driver activity cost pool budgeted cost standard deluxe activity 1 $ 93,000 2,500 5,250 activity 2 $ 92,000 4,500 5,500 activity 3 $ 87,000 3,000 2,800 what is the overhead cost per unit for the standard units? what is the overhead cost per unit for the deluxe units? (round activity rate and cost per unit answers to 2 decimal places.)activity expected costs expected activity driver activity rate1 93,000 2 92,000 3 87,000 standard activity activity driver activity rate allocated costs1 2 3