Suppose that with a budget of $100, deborah spends $60 on sushi and $40 on bagels when sushi costs $2 per piece and bagels cost $2 per bagel. but then, the price of bagels falls to $1 per bagel. b. at the new prices, how much money would it have cost deborah to buy those same quantities (the ones that she consumed before the price change)? c. given that it used to take deborah’s entire $100 to buy those quantities, how big is the income effect caused by the reduction in the price of bagels?

Part A) The quantities are and

Part B)

Part C) The income effect is a loss of

Step-by-step explanation:

Part A)

Let

x-----> the number of piece of sushi

y----> the original number of bagels

we know that

------>

------>

Part B) At the new prices, how much money would it have cost Deborah to buy those same quantities (the ones that she consumed before the price change)?

Bagels

Sushi

-----> is the same

The total cost is

so

The same quantities would have cost

Part C) Given that it used to take Deborah’s entire $100 to buy those quantities, how big is the income effect caused by the reduction in the price of bagels?

Find the difference

therefore

The income effect is a loss of

12m

step-by-step explanation:

square root means have of a number so have of 3 is 1.5 then multiply it by 8 and you get your answer!

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,