#### Mathematical Methods for Economics Three Marks Questions

11th Standard

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Economics

Time : 00:45:00 Hrs
Total Marks : 30
10 x 3 = 30
1. If TC = 2.5q3 - 13q2 + 50q + 12 derive the MC function and AC function.

2. What are the steps involved in executing a MS Excel sheet

3. Find the equation of a straight line which passes through two points (2,2) and (4,-8) which are (x1,y1) and (x2'Y2) respectively.

4. 1. The demand and supply curves are given by ${ p }_{ d }=\frac { 16 }{ x+4 } and\quad { p }_{ s }=\frac { x }{ 2 }$ Find the consumer's surplus and Producer's surplus at the market equilibrium price.

5. Integrate: ${ 4x }^{ 5 }+{ 6x }^{ 3 }+\frac { 2 }{ x } x$

6. Write a short note on MS Excel work sheet.

7. The market demand curve is given by D = 50 - 5P. Find the maximum price beyond which nobody will buy the commodity.

8. Differentiate the function $y={ 3x }^{ 2 }+{ 16x }^{ 3 }$ with respect to x.

9. Given the total cost function,TC=15+$3{ Q }^{ 2 }+{ 7Q }^{ 3 }$ derive the marginal cost function.

10. Given the total cost function,TC=20+$5{ Q }^{ 2 }+{ 3Q }^{ 3 }$ derive the marginal cost function.