Sweet Steel and Molten Metal create sulfur dioxide emissions from their production
process. The total abatement cost (TAC) and marginal abatement cost (MAC) for each
company are given by:
Sweet Steel: TACS= 100,000+ 1eS
2 and MACS= 2eS
Molten Metal: TACM= 100,000 + 1.5eM
2 and MACM= 3eM
where eS and eM represent tons of sulfur dioxide emissions eliminated by each
company. Suppose the government wants to eliminate 1,000 tons of sulfur dioxide
emissions, mandating that each firm cut its emissions by 500 tons. What is the total cost
(TACS + TACM) of reducing emissions by 1,000 tons?
A) $304,000
B) $670,550
C) $233,333
D) $825,000
Carl’s budget constraint is 75 = 10X + 4Y.
a. How many units of good X can Carl afford?
b. What is the vertical intercept of the budget constraint?
c. What is the slope of the budget constraint?
d. Can Carl afford to buy 4 units of good X and 10 units of good Y?
e. If Carl’s income increases by 10%, what happens to the slope of the budget
constraint?
f. What is Carl’s MRSXY at the utility-maximizing point?