For an individual, the Marginal Rate of Substitution for good X and Y is constant and equal to 2/3 for all combinations of the two goods in their indifference map. The price of good X is $18 per unit and the price of good Y is $10 per unit. The individual has a total budget of $300. Determine the bundle of goods X and Y that maximizes their utility.

You are the owner of a local honda dealership. unlike other dealerships in the area, you take pride in your “no haggle” sales policy. last year, your dealership earned record profits of $1.5 million. however, according to the local chamber of commerce, your earnings were 10 percent less than either of your competitors. in your market, the price elasticity of demand for midsized honda automobiles is 4.5. in each of the last five years, your dealership has sold more midsized automobiles than any other honda dealership in the nation. this entitled your dealership to an additional 30 percent off the manufacturer’s suggested retail price (msrp) in each year. taking this into account, your marginal cost of a midsized automobile is $11,000. what price should you charge for a midsized automobile if you expect to maintain your record sales?