Answer:
The arbitrageur should borrow money at 4% per annum since it is cheaper than paying the forward price for delivery
Explanation:
Current price of gold=$1,400 per ounce
Forward price=$1,500
The arbitrageur can either pay the forward price or borrow $1400 and pay the interest of 4% in a year. Consider option 1 paying the forward price of 1500
Option 1
Since there are no additional costs, the total cost for buying the gold=forward price=$1,500
Option 2
If the arbitrageur borrows the 1400 to pay for the gold now, then pay the interest in 1 year;
The total cost=Amount borrowed+interest accrued in 1 year
Total cost=1400+(4%×1400)
1400+((4/100)×1400)
1400+56=$1456
Since there are no additional costs, option 2=$1456
If we compare option 1 to option 2, we notice that option 2 is slightly cheaper than option 1 by $44
(Option 1-Option 2)=(1500-1456)=$44
The arbitrageur should borrow money at 4% per annum since it is cheaper than paying the forward price for delivery
Answer: C. use 0.8 fewer units of capital.
Explanation:
The Marginal Rate of Technical Substitution (MRTS) shows how much you can decrease capital or labor by in order to keep production constant if you increase either capital or labor.
It is calculated by the formula:
= Marginal product of labor / Marginal product of capital
= 4 / 5
= 0.8
<em>The firm should use 0.8 fewer units of capital in order to maintain the same production level. </em>
-3x-5y=-15
-3x-3y=-3
-2y=-12
y=6
-3x-5(6)=-15
-3x-30=-15
-3x=15
x=-5
The answer would be C, (-5,6)
