.. give detailed explanation on each question based on macroeconomic concept.

Write down T for true statement and F for false statement for the following statements:- 1. Prof. J. M. Keynes developed the concept of IS- LM model in economics. 2. According to Prof. J. M. Keynes, national income is determined at the level where aggregate demand equals aggregate supply. 3. According to Prof. Keynes, rate of interest is determined in the money market equilibrium by the demand for money and the supply of money. 4. By goods market, we mean the interaction between demand for money and the supply of money. 5. The money market is in equilibrium when aggregate demand is equal to income. 6. When the rate of interest falls the level of investment increases and vice versa.19. The LM curve is flatter if the interest elasticity of demand for money is high. 20. The LM curve is steep if the interest elasticity demand for money is low. 21. The LM curve shifts to the right when the stock of money is decreased. 22. The LM curve shifts to the right when the stock of money is increased. 23. The LM curve shifts to the right if there is a decrease in the money demand function. 24. The LM curve shifts to the left if there is an increase in the money demand function. 25. The IS- LM curves relate the two variables: income and the rate of interest.Problem 2: The following equations describe an economy C = 100 +0.75Ya I=50-25r T = G=50 Where C is aggregate consumption, Yo is disposable income, / is aggregate investment. 7 is taxes, G is government purchases and / is the rate of interest. Derive the IS curve for the economy.Problem 3: For an economy the following functions have been given: C= 100 + 0.8Y S =-100 + 0.2Y I = 120 - 5r M: = 120 Ma = 0.2Y - 5r Find out (1) IS equation. (2) LM equation, (3) equilibrium level of income and interest rate.Problem 3: Given the following data about the monetary sector of the economy: Ma = 0.4Y - 80r Ms = 1200 million Where, Ma is demand for money, Y' is the level of income, / is the rate of interest and M. is the supply of money. Derive the equation for LM curve and give the economic interpretation of this curve.7. The increase in investment demand will bring about increase in aggregate demand which in turn will raise the equilibrium level of income. 8. The LM curve seeks to find out the equilibrium level of national income as determined by the equilibrium in goods market by a level of investment determined by a given rate of interest. 9. The IS curve shows different equilibrium levels of national income with various rates of interest. 10. The lower the rate of interest, lower will be the equilibrium level of income. 11. The LM curve is the locus of those combinations of rate of interest and the level of national income at which goods market is in equilibrium. 12. It is the autonomous expenditure which determines the position of the IS curve and changes in the autonomous expenditure causes a shift in it. 13. The IS curve can be derived from the Keynesian theory from its analysis of money market equilibrium. 14. According to Keynes, demand for money to hold depends on transactions motive and speculative motive. 15. The LM curve relates the level of income with the rate of interest which is determined by money- market equilibrium corresponding to different levels of demand for money. 16. The IS curve tells what the various rates of interest will be (given the quantity of money and the family of demand curves for money) at different levels of income. 17. The LM curve slopes upward to the right. 18. The IS curve slopes upward to the right