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Given

TC (Q) = \frac{wrQ}{w+r} \ \ \ \ \ ....... (1)

Average total cost is given by

ATC (Q) = \frac{wr}{w+r} \ \ \ \ \ .......... (2)

Since average total cost is independent of Q. It means that by increasing the output the average cost of production remains constant. This means that the production function has a constant return to scale.

Part B

Using Shephard’s Lemma, conditional input demand is given by

L(w,r,Q)=\frac{\partial TC}{\partial w}

and K(w,r,Q)=\frac{\partial TC}{\partial r}

so taking first partial differentiation of eq (1) w.r.t w

L(w,r,Q)=rQ(w+r)^{-}-wrQ(r+w)^{-2} \\ \\ \Rightarrow L(w,r,Q)= \frac{r^2}{(w+r)^2} \ \ \ \ \ .......... (3)

Similarly, conditional input demand of input K

K(w,r,Q)=wQ(w+r)^{-}-wrQ(r+w)^{-2} \\ \\ \Rightarrow K(w,r,Q)= \frac{w^2}{(w+r)^2} \ \ \ \ \ .......... (4)

Part C

Production function Q= F(L,K)

We have a a ch? 2 L = - L = 2. (w +90) لا w + 1)² 9с. and 0 a a 2 را W+)2 (1+2 Put 31% - V So L = @ (v + 1)² => (1+v)? lot ol

K 2 V = 2 60 Ferom egr G and & 2 @ k)? -> - ) Jo - SK - VI L & SK an beth side we get squering a = (JL + FK)? Hence 0 = F (L,    

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A palindrome is a number or a text phrase that reads the same backwards as forwards. For example, each of the following five-digit integers is a palindrome: 12321, 55555, 45554 and 11611. Write a C++ program that reads in a five-digit integer and determines whether it is a palindrome .

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Question: A palindrome is a number or a text phrase that reads the same backwards as forwards. For example, each of the following five-digit integers is a palindrome: 12321, 55555, 45554 and 11611. Write a C++ program that reads in a five-digit integer and determines whether it is a palindrome . Answer: Step 1 PROGRAMING CODE:   #include <stdio.h> int main() {   int n, a, b, c, d, e;   int digit = 0;   printf( "Enter one 5 digit number: \n" );   scanf( "%d", &n );   a = n / 10000;   b = n / 1000 % 10;   c = n / 100 % 10;   d = n / 10 % 10;   e = n % 10;   if ( a == e && b == d ) {     printf( "Palindrome!\n" );   }   if ( a != e || b != d ) {     printf( "Not a palindrome.. :(\n" );   }   return 0; } PROGRAM SCREENSHOT: Step 2
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