4. Claudia has the following preferences over two goods, c and d: U(c, d) = min{c/2, 3d) Let pc = 2 and pd=3. a. What combination of c and d will give Claudia exactly 18 units of utility at the lowest possible cost? b. How much will this bundle cost? c. If the price of c rises to 3 and the price of d stays the same, will the expenditure minimizing bundle change? Why or why not? d. Solve for Claudia’s Hicksian demand functions for c and d. e. Write down Claudia’s expenditure function E(pc, pd , U). f. Using Shephard’s Lemma, derive Claudia’s Hicksian demand function for d.

In 2015, lori assigned a paid-up whole life insurance policy to an irrevocable life insurance trust (ilit) for the benefit of her three children. the ilit contained a crummey provision for the benefit of each child. at the time of the transfer, the whole life insurance policy was valued at $200,000, and since lori had not made any other taxable gifts during her lifetime, she did not owe any gift tax. lori died in 2016, and the face value of the whole life insurance policy of $2,000,000 was paid to the ilit. regarding this transfer, how much is included in lori’s gross estate at her death?