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Levart
1 month ago
7

David N. gets $3 per week as an allowance to spend any way he pleases. Because he likes only peanut butter and jelly sandwiches,

he spends the entire amount on peanut butter (at $0.05 per ounce) and jelly (at $0.10 per ounce). Bread is provided free of charge by a concerned neighbor. David is a particular eater and makes his sandwiches with exactly 1 ounce of jelly and 2 ounces of peanut butter. He is set in his ways and will never change these proportions.
(a) How much peanut butter and jelly will David buy with his $3 allowance in a week?
(b) Suppose the price of jelly were to rise to $0.15 an ounce. How much of each commodity would be bought?
Business
1 answer:
Nady [3.2K]1 month ago
4 0

Response:

The answer to the question is provided below.

Analysis:

(a) What quantities of peanut butter and jelly will David purchase with his $3 weekly allowance?

It is stated that David prefers 2 ounces of peanut butter for each ounce of jelly, thus

2Pb = J, and the budget constraint can be expressed as 0.05Pb + 0.1J = 3.

Using substitution,

David will acquire Pb = 30 ounces, J = 15 ounces.

30(0.05) + 15(0.10) = 3

(b) If the cost of jelly rises to $0.15 per ounce, what quantities of each item would he purchase?

If pj = $0.15,

24(0.05) + 12(0.15) = 3

Using substitution, we find J = 12 ounces, Pb = 24 ounces.

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