Bridget has a limited income and consumes only wine and cheese; her current consumption choice is four bottles of wine and 10 pounds of cheese. The price of wine is $10 per bottle, and the price of cheese is $4 PER POUND.The last bottle of wine added 50 units to Bridget's utility, while the last pound of cheese added 40 units.

Is bridget making the utility-maximizing choice? Why or why not?
If not, what should she do instead? Why?

After you have done some math and some reasoning, please repost with your thoughts. We do not do your homework for you. However, after you have written what you think, we will be happy to give you suggestions/corrections and ideas for additions.

iF U-F(X.Y)

Am I on the right track.
i believe the answer is no, but I am not sure if the philosphy holds true.
50=(10,4) + 40= (10,4)
2000+1600
Am i going in the right direction?

To determine if Bridget is making the utility-maximizing choice, we need to calculate the marginal utility per dollar for both wine and cheese.

First, let's calculate the marginal utility of the last bottle of wine. Bridget derives 50 units of utility from the last bottle of wine. Since the price of wine is $10 per bottle, the marginal utility per dollar for wine is 50/10 = 5 units of utility per dollar.

Next, let's calculate the marginal utility of the last pound of cheese. Bridget derives 40 units of utility from the last pound of cheese. Since the price of cheese is $4 per pound, the marginal utility per dollar for cheese is 40/4 = 10 units of utility per dollar.

Given that the marginal utility per dollar for cheese (10 units) is higher than the marginal utility per dollar for wine (5 units), Bridget is not currently making the utility-maximizing choice.

So what should she do instead? Bridget should reallocate her consumption to increase her overall utility. Since the marginal utility per dollar for cheese is higher, she should consume more cheese and less wine. By doing so, she can increase her total utility given the same income.