Justin has the utility function U = xy, with the marginal utilities MUx = y and MUy = x. The price of x is $2, the price of y is py, and his income is 40. When he maximizes utility subject to his budget constraint, he purchases 5 units of y. (a) What must be the price of y and the amount of x consumed? (1 marks).
(b) Prove that this allocation follows the equi-marginal principle (2 marks).
(c) What would be the new bundles of x, y if Px was $3 (2 marks).

Anderson, a computer engineer, and spouse, who is unemployed, provide more than half of the support for their child, age 23, who is a full-time student and who earns $7,000. they also provide more than half of the support for their older child, age 33, who earns $2,000 during the year. how many dependents may the andersons claim on their joint tax return?

Sye chase started and operated a small family architectural firm in 2016. the firm was affected by two events: (1) chase provided $25,000 of services on account, and (2) he purchased $2,800 of supplies on account. there were $250 of supplies on hand as of december 31, 2016. record the two transactions in the accounts. record the required year-end adjusting entry to reflect the use of supplies and the required closing entries. post the entries in the t-accounts and prepare a post-closing trial balance.

Suppose that the firm cherryblossom has an orchard they are willing to sell today. the net annual returns to the orchard are expected to be $50,000 per year for the next 20 years. at the end of 20 years, it is expected the land will sell for $30,000. calculate the market value of the orchard if the market rate of return on comparable investments is 16%.