a) Suppose Jim consumes two products x and y. Jim’s budget constraint is given by the equation: $9x + $3y = $4 (i) If Jim decides to spend his entire budget on product y, how many units of y will Jim be able to purchase? Explain your answer.  (ii) Calculate the slope of Jim’s budget line. Explain your answer (iii) Suppose Jim’s budget increases to $27. Measuring product x on X-axis and product y on the Y-axis, draw Jim’s budget line. You must completely label your diagram. b) At the beginning of 2021, Jim had $50,000 in two of his bank accounts, each of which paid interest annually. The interest rates were 4% and 6% per annum, respectively. If Jim has made no withdrawals during the year and has earned a total of $2,750 interest, what was the initial balance in each of his two accounts?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.3: Lines
Problem 92E
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a) Suppose Jim consumes two products x and y. Jim’s budget constraint is given by the equation: $9x + $3y = $4

(i) If Jim decides to spend his entire budget on product y, how many units of y will Jim be able to purchase? Explain your answer. 

(ii) Calculate the slope of Jim’s budget line. Explain your answer

(iii) Suppose Jim’s budget increases to $27. Measuring product x on X-axis and product y on the Y-axis, draw Jim’s budget line. You must completely label your diagram.

b) At the beginning of 2021, Jim had $50,000 in two of his bank accounts, each of which paid interest annually. The interest rates were 4% and 6% per annum, respectively. If Jim has made no withdrawals during the year and has earned a total of $2,750 interest, what was the initial balance in each of his two accounts? 

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