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Mathematics
Basic Mathematics for Economists
315 SOLVED PROBLEMS
Question: 12.13
At what level of K is the function Q = 12K^0.4(160 − 8K)^0.4 at a maximum? (This is Example 11.1 (reworked) which was not completed in the last chapter.) ...
Verified Answer:
The objective is to find the value of K which maxi...
Question: 11.RW.1
A firm faces the production function Q = 12K^0.4L^0.4 and can buy the inputs K and L at prices per unit of £40 and £5 respectively. If it has a budget of £800 what combination of K and L should it use in order to produce the maximum possible output? ...
Verified Answer:
From the budget constraint 40K + 5L = 800 ...
Question: 15.RW.11
Derive the determinant of matrix A = [ 4 6 1 2 5 2 9 0 4 ] by expanding along the 3rd row. ...
Verified Answer:
Expanding across the 3rd row, the first term will ...
Question: 2.53
Use logs to find ^8√ 226.34. ...
Verified Answer:
Log 226.34 must be divided by 8 to find the log of...
Question: 2.54
If 460(1.08)^n = 925, what is n? ...
Verified Answer:
\begin{aligned} 460(1.08)^n &= 925 \\ ...
Question: 2.52
Calculate 1,242.67^6 using logs. ...
Verified Answer:
log 1,242.67 = 3.0943558 This means
1,242....
Question: 2.50
Evaluate 4,632.71 × 251.07 using logs. ...
Verified Answer:
Using the [LOG] function key on a calculator log 4...
Question: 2.51
Evaluate 56,200 ÷ 3,484 using logs. ...
Verified Answer:
From log tables log 56,200 = 4.7497363 log 3,484 ...
Question: 2.27
Eight students each have an overdraft of £210. What is their total bank balance? ...
Verified Answer:
total balance = 8 × (−210) = −£1,680
Question: 2.23
Express 0.01p as a decimal fraction of £1 . ...
Verified Answer:
1p = £0.01 Therefore 0.01p = £0.0001 In mathematic...
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