Q1. if the utility function for textbooks and coffee is given by U(B,C)= B^0.5C^1.5 where B represents the textbooks and C represents coffee, relying on the prices 8.00 cedis for books and 2.00 cedis for coffee and the income of 40 cedis, calculate the optimal combinations of textbooks and coffee that maximizes 4Gee's utility. 4. Erica's utility function for good X and good Y is given as U(x,y) 2X^2Y^2. PX, Py and M are the price of good X, price of good Y and consumer income respectively. If M= 200, Px = 4 and Py = 5. Also, the MUX = 4XY^2 and MUY = 4X^2Y. Use this information above to solve the problem below. (i) Write the budget constraint of the consumer. (ii) Derive the demand function of good X and good Y (iii) What combination of X and Y maximizes the consumer's utility? (iv) Calculate the marginal rate of substitution between X and Y at = equilibrium and interpret your results (v) Sketch the budget line for this goods and state TWO reasons that may lead to a shift in the budget line handwritten solution