Please help me with all the subquestions. Thank you.

Question 2 Suppose a consumer has the utility function over food and housing U (F, H) = 4F4H2. Let PF = 10 and PH = 5 be the prices of food and housing, assume the consumer '5 income is Y = 120. 2.1 Write the consumer '5 budget constraint and calculate their marginal rate of substitution as a function of F and H. [3] 2.2 Find the optimal consumption bundle by setting the consumer '5 MRS equal to their MRT. [3] 2.3 Suppose the consumer's utility function is U (F, H) = 21721-1. How does the their optimal consumption bundle change? [3]