John wants to solve his constrained optimization problem to maximize his utility, with the objective function being the following Cobb-Douglas utility function: U= 3X1/3Y2/3. He also knows the following information about his constraint: the price of good X (Px) is $9, the price of good Y (Py) is $6, and his budget (M) is $270. Find the marginal utility for good X when X=3 and Y=2.

Assuming a perfectly competitive market, with the cost function C = 50 + 2q2 and price = $55

What is the firm's profit at the profit maximizing quantity?

Imagine you are the CEO of Future Industries, a company located in Republic City. The head of the accountancy department insists that you should stop the production of Satomobiles (Cars) and focus on producing Mecha Tanks only, because those lead to a higher total revenue. Using the information in the table, compute the Accounting profits from producing Satomobiles (A)

Satomobiles (Cars) Accounting Economic Profit Profit Total Revenue 200,000,000 Explicit Cost 900,000 Implicit Cost Profit A C Mecha Tanks (Tanks) Accounting Economic Profit Profit Total Revenue 245,050,000 Explicit Cost 80,000,000 Implicit Cost Profit B D