Answer the following questions give a clear answer for each.

Questions 28-30 are based on the following information: Suppose there are two goods in the market: X and Y. The consumer's income is $1000. The price of Good X, Px=$20, and the price of Good Y, Py=$50. The consumer seeks to maximize utility represented by the utility function U(X, Y) = x0.5 * Y0.5, where X and Y are the quantity of Good X and Good Y, respectively. Q28: Determine the consumer's optimal consumption of Good X. Q29: Calculate the marginal rate of substitution (MRS) of X by Y. Q30: If the price of Good Y increases to $100, how does this change the consumption of X and Y? "A) Consumption of both goods will increase B) Consumption of both goods will decrease C) Consumption of X will increase while consumption of Y will decrease D) Consumption of X will decrease while consumption of Y will increase E) None of the above Questions 31-32 are based on the following information: Consider a closed economy described by the following equations (here Y is the GDP) Consumption function: C = 200 + 0.8(Y - T) Investment function: I = 110 Government spending: G = 250 Taxes: T = 200 Q31: Calculate the equilibrium level of GDP Q32: If the government decides to balance its budget and increase the taxes by $50 to I=$250, what will be the change in GDP, i.e., find Yafter-Y before Q33: Apple Inc and Banana Corp both sell identical products with zero marginal cost and operate in an oligopolistic market where the price function is P = 1500 - Q. The way the market operates is as follows: Apple Inc and Banana Corp simultaneously set their prices and people buy the product from the company that set the lowest price. In case both companies set the same price, the quantity demanded is equally divided between the two firms. How much Banana Corp will produce in equilibrium (round your answer to the nearest integer number)